Globally optimal grouping for symmetric closed boundaries by combining boundary and region information

IEEE Transactions on Pattern Analysis and Machine Intelligence
Joachim S Stahl, Song Wang

Abstract

Many natural and man-made structures have a boundary that shows a certain level of bilateral symmetry, a property that plays an important role in both human and computer vision. In this paper, we present a new grouping method for detecting closed boundaries with symmetry. We first construct a new type of grouping token in the form of symmetric trapezoids by pairing line segments detected from the image. A closed boundary can then be achieved by connecting some trapezoids with a sequence of gap-filling quadrilaterals. For such a closed boundary, we define a unified grouping cost function in a ratio form: the numerator reflects the boundary information of proximity and symmetry and the denominator reflects the region information of the enclosed area. The introduction of the region-area information in the denominator is able to avoid a bias toward shorter boundaries. We then develop a new graph model to represent the grouping tokens. In this new graph model, the grouping cost function can be encoded by carefully designed edge weights and the desired optimal boundary corresponds to a special cycle with a minimum ratio-form cost. We finally show that such a cycle can be found in polynomial time using a previous graph algorithm. We i...Continue Reading

References

Feb 1, 1973·Journal of Theoretical Biology·H Blum
Dec 4, 2004·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·V Shiv Naga Prasad, B Yegnanarayana
Mar 30, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Song WangJun Wang
Feb 13, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·H Shroff, J Ben-Arie

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Citations

Nov 25, 2014·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Yansheng MingXuming He
Dec 28, 2011·IEEE Transactions on Pattern Analysis and Machine Intelligence·Yu Sun, Bir Bhanu
Dec 3, 2013·Computers in Biology and Medicine·Aymen MouelhiKhaled Ben Romdhane
Sep 18, 2018·Annual Review of Vision Science·James H Elder
Nov 21, 2018·Journal of Vision·James H ElderIngo Fruend

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