DocumentCode :
111045
Title :
Tangent Bundle Elastica and Computer Vision
Author :
Ben-Shahar, Ohad ; Ben-Yosef, Guy
Author_Institution :
Dept. of Comput. Sci., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel
Volume :
37
Issue :
1
fYear :
2015
fDate :
Jan. 1 2015
Firstpage :
161
Lastpage :
174
Abstract :
Visual curve completion, an early visual process that completes the occluded parts between observed boundary fragments (a.k.a. inducers), is a major problem in perceptual organization and a critical step toward higher level visual tasks in both biological and machine vision. Most computational contributions to solving this problem suggest desired perceptual properties that the completed contour should satisfy in the image plane, and then seek the mathematical curves that provide them. Alternatively, few studies (including by the authors) have suggested to frame the problem not in the image plane but rather in the unit tangent bundleR 2 × S1, the space that abstracts the primary visual cortex, where curve completion allegedly occurs. Combining both schools, here we propose and develop a biologically plausible theory of elastica in the tangent bundle that provides not only perceptually superior completion results but also a rigorous computational prediction that inducer curvatures greatly affects the shape of the completed curve, as indeed indicated by human perception.
Keywords :
computer vision; mathematical analysis; biological vision; biologically plausible theory; boundary fragments; completed curve; computational contributions; computational prediction; computer vision; curve completion; human perception; machine vision; mathematical curves; tangent bundle elastica; visual cortex; visual curve completion; visual process; Abstracts; Biology; Organizations; Shape; Three-dimensional displays; Vectors; Visualization; Visual completion; curve completion; elastica; tangent bundle;
fLanguage :
English
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher :
ieee
ISSN :
0162-8828
Type :
jour
DOI :
10.1109/TPAMI.2014.2343214
Filename :
6866207
Link To Document :
بازگشت