| Authors: | Rosin, Paul L. Pantović, Jovanka Žunić, Joviša |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Measuring linearity of closed curves and connected compound curves | Series/Report no.: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Volume: | 7726 | First page: | 310 | Last page: | 321 | Related Publication(s): | Computer Vision -- ACCV 2012 | Conference: | 11th Asian Conference on Computer Vision, Daejeon, Korea, November 5-9, 2012, Revised Selected Papers, Part III | Issue Date: | 2013 | Rank: | M33 | ISBN: | 9783642374302 | ISSN: | 0302-9743 | DOI: | 10.1007/978-3-642-37431-9_24 | Abstract: | In this paper we define a new linearity measure for closed curves. We start with simple closed curves which represent the boundaries of bounded planar regions. It turns out that the method can be extended to closed curves which self-intersect and also to certain configurations consisting of several curves, including open curve segments. In all cases, the measured linearities range over the interval (0,1], and do not change under translation, rotation and scaling transformations of the considered curve. In addition, the highest possible linearity (which is 1) is reached if and only if the measured curve consists of two overlapping (i.e. coincident) straight line segments. The new linearity measure is theoretically well founded and all related statements are supported with rigorous mathematical proofs. |
Publisher: | Springer Link |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.