Title :
Rock, Paper, and Scissors: extrinsic vs. intrinsic similarity of non-rigid shapes
Author :
Bronstein, Alexander M. ; Bronstein, Michael M. ; Kimmel, Ron
Author_Institution :
Technion - Israel Inst. of Technol., Haifa
Abstract :
This paper explores similarity criteria between non-rigid shapes. Broadly speaking, such criteria are divided into intrinsic and extrinsic, the first referring to the metric structure of the objects and the latter to the geometry of the shapes in the Euclidean space. Both criteria have their advantages and disadvantages; extrinsic similarity is sensitive to non-rigid deformations of the shapes, while intrinsic similarity is sensitive to topological noise. Here, we present an approach unifying both criteria in a single distance. Numerical results demonstrate the robustness of our approach in cases where using only extrinsic or intrinsic criteria fail.
Keywords :
geometry; object recognition; Euclidean space; extrinsic similarity; intrinsic similarity; nonrigid shapes; objects metric structure; Computer science; Fingers; Geometry; Iterative closest point algorithm; Noise robustness; Noise shaping; Pattern recognition; Shape; Space technology; Terminology;
Conference_Titel :
Computer Vision, 2007. ICCV 2007. IEEE 11th International Conference on
Conference_Location :
Rio de Janeiro
Print_ISBN :
978-1-4244-1630-1
Electronic_ISBN :
1550-5499
DOI :
10.1109/ICCV.2007.4409076