Process for determining the location of a positioning body in relation to a reference body and device for implementing the process
First Claim
1. A process for determining a location of a positioning body in relation to a reference body, said process comprising the steps of:
- providing on a positioning body a scale with marks of known coordinates in a plane;
providing a scanner on the reference body, the scanner including a projection surface, on which the marks of a scale are projected, and an imaging lens;
calculating coordinates of a center of projection of the imaging lens from the known coordinates of the marks on the scale via a projecting relationship between the projection surface of the scanner and the plane of the scale, whereby the marks provide their coordinate information with respect to the scale in coded form and are decoded for the calculation,wherein the scale comprises two orthogonal surface scales;
wherein the marks of both surface scales form intersection regions; and
wherein the calculation is based on at least four centers of intersection regions of the marks of both surface scales defining an area as the known coordinates of the marks.
1 Assignment
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Accused Products
Abstract
The description relates to a process for determining the location of a positioning body in relation to a reference body and a device for implementing it. The positioning body (10) bears a scale with evenly spaced markings and the reference body comprises a scanner (12) with a projection surface on which the mark (16) of the scale are projected and imaging optics. The coordinates of the center of projection of the imaging optics are calculated by evaluating the mark (16) arranged on the scale. Here, coded marks of two perpendicular surface scales of the scale or the positioning body are decoded and at least four centers of intersection regions of the marks of both surface scales confining an area are determined. The calculation is made via the protective relationship between the projection surface of the scanner and the plane of the scale bearing the marks.
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Citations
20 Claims
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1. A process for determining a location of a positioning body in relation to a reference body, said process comprising the steps of:
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providing on a positioning body a scale with marks of known coordinates in a plane; providing a scanner on the reference body, the scanner including a projection surface, on which the marks of a scale are projected, and an imaging lens; calculating coordinates of a center of projection of the imaging lens from the known coordinates of the marks on the scale via a projecting relationship between the projection surface of the scanner and the plane of the scale, whereby the marks provide their coordinate information with respect to the scale in coded form and are decoded for the calculation, wherein the scale comprises two orthogonal surface scales; wherein the marks of both surface scales form intersection regions; and
wherein the calculation is based on at least four centers of intersection regions of the marks of both surface scales defining an area as the known coordinates of the marks. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A process for determining a location of a positioning body in relation to a reference body, said process comprising the steps of:
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providing on a the positioning body a scale with marks of known coordinates in a plane; providing a scanner on the reference body, the scanner including a projection surface, on which the marks of a scale are projected, and an imaging lens; calculating coordinates of a center of projection of the imaging lens from the known coordinates of the marks on the scale via a projecting relationship between the projection surface of the scanner and the plane of the scale, where by the marks provide their coordinate information with respect to the scale in coded form and are decoded for the calculation, wherein the scale comprises two orthogonal surface scales;
wherein the marks of both surface scales form intersection regions;
wherein the calculation is based on at least four centers of intersection regions of the marks of both surface scales defining an area as the known coordinates of the marks; and
wherein said calculating step includes calculating in three dimensions coordinates XO, YO, ZO of the center of projection and angles of orientation K, φ
, ω
between the projection surface of the scanner and the plane of the scale are calculated according to the following functions and equations;
##EQU8## where K denotes an angle of orientation relative to the Z axis;
φ
denotes an angle of orientation relative to the Y axis;
ω
denotes an angle of orientation relative to the X axis;
c denotes a chamber constant in accordance with the distance between the center of projection O and the vertical base point H'"'"' of the reference body;
δ and
γ
denote transformation variables; and
a1, a2, a3, b3, c1, c2 represent the transformation constants. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17, 18)
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19. A device for determining the location of a positioning body in relation to a reference body, comprising:
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a positioning body bearing a scale including two orthogonal surface scales with marks of known coordinates on a plane on which the marks of both surface scales form intersection regions; a reference body including a scanner with a projection surface, on which the marks of the scale are projected, and an imaging lens; and a computer calculating coordinates of a center of projection of the imaging lens from the known coordinates of the marks on the scale via a projecting relationship between the projection surface of the scanner and the plane of the scale, whereby the marks provide their coordinate information with respect to the scale in coded form and are decoded for the calculation, and wherein of respective intersection regions of the marks of both surface scales defining an area as the known coordinates of the marks. - View Dependent Claims (20)
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Specification