Line symmetrical graphic arrangement device for creating line symmetrical graphics with respect to a symmetry axis

• US 5,877,774 A
• Filed: 08/26/1996
• Issued: 03/02/1999
• Est. Priority Date: 08/25/1995
• Status: Expired due to Term

• Current Assignee: NEC Personal Computers, Ltd. (Lenovo Group Ltd.)
• Original Assignee: NEC Corporation
• Inventors: Saito, Shigeru
• Primary Examiner(s): BUCHEL JR, RUDOLPH JOHN
• Application Number:
  US08/697,529
• Time in Patent Office: 918 Days
• Field of Search: 345/433, 345/437-8, 345/441, 345/440, 364/474.24
• US Class Current: 345/440
• CPC Class Codes: G06T 11/00 2D [Two Dimensional] image generation

Abstract

A line symmetrical graphic arrangement device comprises a characteristic quantity computing unit for computing characteristic quantity depending on the shape of an input graphic and selecting a characteristic point used for the graphic arrangement, a proposed symmetry axis computing unit and a symmetry judging unit for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, a base point computing unit and an axis angle deciding unit for modifying the proposed symmetry axes on the basis of the quality of the symmetry axes, so as to obtain the symmetry axes of the input graphic, and a characteristic point position computing unit for relocating the characteristic points selected by the characteristic quantity computing means with the obtained symmetry axes as reference, so as to create a symmetrical graphic with respect to the symmetry axes.

Claims

1. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical.

2. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the symmetry axes, or there exists only one proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent proposed symmetry axes so that the proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic.

3. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical, while

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the second proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of the second proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the second proposed symmetry axes, or there exists only one second proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent second proposed symmetry axes so that the second proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic.

4. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the symmetry axes, or there exists only one proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent proposed symmetry axes so that the proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of requiring the distance between a characteristic point of the characteristic point group and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point, and

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes.

5. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical,

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the second proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of the second proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the second proposed symmetry axes, or there exists only one second proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent second proposed symmetry axes so that the second proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, and

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of requiring the distance between a characteristic point of the characteristic point group and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point, and

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes.

6. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the symmetry axes, or there exists only one proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent proposed symmetry axes so that the proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of requiring the distance between a characteristic point of the characteristic point group and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point,

the step of locating the other characteristic point which is located at the nearest position, to the symmetrical position of the characteristic point with respect to the symmetry axis when the characteristic point is not located on the symmetry axis, and

repeating the above step of requiring the position of a characteristic point and the above step of locating the other characteristic point to the symmetrical position of the computed characteristic point, with respect to all the characteristic points of the characteristic point group.

7. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical, while

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the second proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of the second proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the second proposed symmetry axes, or there exists only one second proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent second proposed symmetry axes so that the second proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of requiring the distance between a characteristic point of the characteristic point group and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point,

the step of locating the other characteristic point which is located at the nearest position, to the symmetrical position of the characteristic point with respect to the symmetry axis when the characteristic point is not located on the symmetry axis, and

repeating the above step of requiring the position of a characteristic point and the above step of locating the other characteristic point to the symmetrical position of the computed characteristic point, with respect to all the characteristic points of the characteristic point group.

8. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic Quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the symmetry axes, or there exists only one proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent proposed symmetry axes so that the proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of, with respect to a characteristic point specified by a user from the characteristic point group, requiring the distance between the characteristic point and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point, and

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes.

9. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical, while

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the second proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of the second proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the second proposed symmetry axes, or there exists only one second proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent second proposed symmetry axes so that the second proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of, with respect to a characteristic point specified by a user from the characteristic point group, requiring the distance between the characteristic point and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point, and

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes.

10. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the symmetry axes, or there exists only one proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent proposed symmetry axes so that the proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of, with respect to a characteristic point specified by a user from the characteristic point group, requiring the distance between the characteristic point and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point,

the step of locating the other characteristic point which is located at the nearest position, to the symmetrical position of the characteristic point with respect to the symmetry axis, when the characteristic point is not located on the symmetry axis,

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes, and

repeating the above step of locating the other characteristic point to the symmetrical position of the computed characteristic point, with respect to all the characteristic points of the characteristic point group.

11. A line symmetrical graphic arrangement device for arranging an input graphic into a line symmetrical figure with respect to a symmetry axis, comprising:

a characteristic quantity computing means for computing characteristic quantity depending on the input graphic and selecting characteristic points used for the graphic arrangement;

a proposed symmetry axis detecting means for requiring proposed symmetry axes of the input graphic based on the characteristic of the shape and the quality of the symmetry axes in the input graphic, which are specified by the characteristic quantity computed by said characteristic quantity computing means;

a symmetry axis modifying means for modifying the proposed symmetry axes detected by said proposed symmetry axis detecting means according to the quality of the symmetry axes, to obtain the symmetry axes of the input graphic; and

a characteristic point relocating means for relocating the characteristic points selected by said characteristic quantity computing means with the respective symmetry axes obtained by said symmetry axis modifying means as reference, so to create a symmetrical graphic with respect to the symmetry axes, and wherein

said proposed symmetry axis detecting means comprises

a first proposed symmetry axis detecting means for detecting first proposed symmetry axes based on the characteristic of the shape and the quality of the symmetry axes in the input graphic which are specified by the characteristic quantity, and

a symmetry judging means for judging whether the input graphic is approximately symmetrical with the respective first proposed symmetry axes detected by said first proposed symmetry axis detecting means as reference, and fixing the first proposed symmetry axes as second proposed symmetry axes to be processed by said symmetry axis modifying means when judging that the input graphic is approximately symmetrical, while

said symmetry axis modifying means comprises

a base point computing means for computing base points with reference to the second proposed symmetry axes detected by said proposed symmetry axis detecting means, the base points being fixed about the proposed symmetry axes by the intersections thereof when there are a plurality of the second proposed symmetry axes, and more particularly, the base points being fixed about the proposed symmetry axes by a center of a circumscribed graphic including the intersections thereof when there are a plurality of intersections of the second proposed symmetry axes, or there exists only one second proposed symmetry axis, and

an axis angle deciding means for modifying the angle formed by the adjacent second proposed symmetry axes so that the second proposed symmetry axes are relocated at the same angle around the base point obtained by said base point computing means, thereby to decide the symmetry axes of the input graphic, while

said characteristic point relocating means comprises

a characteristic point group creating means for creating a characteristic point group by gathering the characteristic points located at the same distance from the base point about the proposed symmetry axes computed by said base point computing means, of all the characteristic points selected by said characteristic quantity computing means, and

a characteristic point position computing means for computing the positions of the characteristic points for every characteristic point group created by said characteristic point group creating means,

said characteristic point position computing means including

the step of, with respect to a characteristic point specified by a user from the characteristic point group, requiring the distance between the characteristic point and the base point about the symmetry axes, and the distance between the characteristic point and a symmetry axis located at the nearest position to the characteristic point,

the step of locating the other characteristic point which is located at the nearest position, to the symmetrical position of the characteristic point with respect to the symmetry axis, when the characteristic point is not located on the symmetry axis, and

the step of computing the positions of the other characteristic points by applying the relative position of the characteristic point specified by the two distances with respect to the symmetry axis, to the other characteristic points of the characteristic point group and the other symmetry axes, and

repeating the above step of locating the other characteristic point to the symmetrical position of the computed characteristic point, with respect to all the characteristic points of the characteristic point group.