|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Measuring linearity of planar curves||Journal:||Pattern Recognition Applications and Methods||Series/Report no.:||Advances in Intelligent Systems and Computing||Issue Date:||1-Jan-2015||Rank:||M10||ISBN:||978-3-319-12609-8||ISSN:||2194-5357||DOI:||10.1007/978-3-319-12610-4_16||Abstract:||
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 straight line segments. Exploiting such a nice characterization of straight line segments, we define a new linearity measure for planar curves. 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.
|Keywords:||Curves | Image processing | Linearity measure | Shape | Shape descriptors||Publisher:||Springer Link||Project:||Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education
Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security
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