Title :
A topological method for shape comparison
Author :
Ishkhanov, Tigran
Author_Institution :
Dept. of Math., Stanford Univ., Stanford, CA
Abstract :
We develop a topology-based method which can be used as a measure of the dissimilarity between shapes. For us, a shape is a point cloud dataset in Euclidean space. In the experiments described in this paper a shape comes with a particular choice of triangulation (mesh). However, the method can be applied to a more general situation when no particular triangulation is given. We test our method on a database of models achieving only a minor misclassification error.
Keywords :
algebra; computational geometry; mesh generation; topology; Euclidean space; shape comparison; topology-based method; triangulation; Buildings; Clouds; Computer science; Filtration; Geophysics computing; Mathematics; Shape measurement; Spatial databases; Testing; Topology;
Conference_Titel :
Computer Vision and Pattern Recognition Workshops, 2008. CVPRW '08. IEEE Computer Society Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
978-1-4244-2339-2
Electronic_ISBN :
2160-7508
DOI :
10.1109/CVPRW.2008.4563076
