Measuring linearity of open planar curve segments
نویسندگان
چکیده
منابع مشابه
Measuring linearity of open planar curve segments
In this paper we define a new linearity measure for open planar curve segments. We start with the integral of the squared distances between all the pairs of points belonging to the measured curve segment, and show that, for curves of a fixed length, such an integral reaches its maximum for straight line segments. We exploit this nice property to define a new linearity measure for open curve seg...
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In this paper we define a new linearity measure which can be applied to open planar curve segments. We have considered the sum of the distances between the curve end points and the curve centroid. We have shown that this sum is bounded from above by the length of the curve segment considered. In addition, we have proven that this sum equals the length of the curve segment only in the case of st...
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In this paper we define a new linearity measure which can be applied to open curve segments. The new measure ranges over the interval (0,1], and produces the value 1 if and only if the measured line is a perfect straight line segment. Also, the new linearity measure is invariant with respect to translations, rotations and scaling transformations.
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ژورنال
عنوان ژورنال: Image and Vision Computing
سال: 2011
ISSN: 0262-8856
DOI: 10.1016/j.imavis.2011.10.002