Point-sequence approximation method and apparatus
First Claim
1. A point-sequence approximation method of approximating a point sequence constituted of a plurality of points by a line, comprising:
- inputting point data from a sensor;
determining with a processor whether a proportion of a straight-line approximation region of the point data is high as compared to that of a curve approximation region;
when it is determined that the proportion of the straight-line approximation region is high as compared to that of the curve approximation region, repeatedly performing random setting of a candidate of an approximation straight line, and evaluating an approximation accuracy of the candidate of the approximation straight line based on distances between the candidate of the approximation straight line and the points constituting the point sequence; and
performing with the processor straight-line approximation using the candidate of the approximation straight line with the best result of evaluation of the approximation accuracy as an approximation straight line.
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Abstract
A point-sequence approximation apparatus determines whether a proportion of a straight-line approximation region is high as compared to that of a curve approximation region. In addition, if it is determined that the proportion of the straight-line approximation region is high as compared to that of the curve approximation region, the point-sequence approximation apparatus repeatedly performs random setting of a candidate of an approximation straight line, and evaluation of approximation accuracy of the candidate of the approximation straight line based on distances between the candidate of the approximation straight line and the points constituting the point sequence. Moreover, the point-sequence approximation apparatus performs straight-line approximation by using the candidate of the approximation straight line with the best result of evaluation of the approximation accuracy as an approximation straight line.
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Citations
15 Claims
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1. A point-sequence approximation method of approximating a point sequence constituted of a plurality of points by a line, comprising:
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inputting point data from a sensor; determining with a processor whether a proportion of a straight-line approximation region of the point data is high as compared to that of a curve approximation region; when it is determined that the proportion of the straight-line approximation region is high as compared to that of the curve approximation region, repeatedly performing random setting of a candidate of an approximation straight line, and evaluating an approximation accuracy of the candidate of the approximation straight line based on distances between the candidate of the approximation straight line and the points constituting the point sequence; and performing with the processor straight-line approximation using the candidate of the approximation straight line with the best result of evaluation of the approximation accuracy as an approximation straight line. - View Dependent Claims (2, 3, 4, 9, 10, 11)
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5. A point-sequence approximation apparatus for approximating a point sequence constituted of a plurality of points by a line, comprising:
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an input device for inputting point data from a sensor; a determination device for determining whether a proportion of a straight-line approximation region of the point data is high as compared to that of a curve approximation region; an evaluation device for, when it is determined that the proportion of the straight-line approximation region is high as compared to that of the curve approximation region, repeatedly performing random setting of a candidate of an approximation straight line, and evaluating approximation accuracy of the candidate of the approximation straight line based on distances between the candidate of the approximation straight line and the points constituting the point sequence; and a straight-line approximation device for performing straight-line approximation using the candidate of the approximation straight line with the best result of evaluation of the approximation accuracy as an approximation straight line. - View Dependent Claims (6, 7, 8, 12, 13, 14)
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15. A point-sequence approximation apparatus for approximating a point sequence constituted of a plurality of points by a line, comprising:
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input means for inputting point data from a sensor; determination means for determining whether a proportion of a straight-line approximation region of the point data is high as compared to that of a curve approximation region; evaluation means for, when it is determined that the proportion of the straight-line approximation region is high as compared to that of the curve approximation region, repeatedly performing random setting of a candidate of an approximation straight line, and evaluating approximation accuracy of the candidate of the approximation straight line based on distances between the candidate of the approximation straight line and the points constituting the point sequence; and straight-line approximation means for performing straight-line approximation using the candidate of the approximation straight line with the best result of evaluation of the approximation accuracy as an approximation straight line.
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Specification