IEEE Trans Pattern Anal Mach Intell - Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces.

Tópicos

{ algorithm(1844) comput(1787) effici(935) }
{ method(984) reconstruct(947) comput(926) }
{ structur(1116) can(940) graph(676) }
{ data(1737) use(1416) pattern(1282) }
{ perform(999) metric(946) measur(919) }
{ featur(3375) classif(2383) classifi(1994) }
{ method(1557) propos(1049) approach(1037) }
{ ehr(2073) health(1662) electron(1139) }
{ result(1111) use(1088) new(759) }
{ general(901) number(790) one(736) }
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{ inform(2794) health(2639) internet(1427) }
{ bind(1733) structur(1185) ligand(1036) }
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Resumo

In the research of computer vision and machine perception, 3D objects are usually represented by 2-manifold triangular meshes M. In this paper, we present practical and efficient algorithms to construct iso-contours, bisectors, and Voronoi diagrams of point sites on M, based on an exact geodesic metric. Compared to euclidean metric spaces, the Voronoi diagrams on M exhibit many special properties that fail all of the existing euclidean Voronoi algorithms. To provide practical algorithms for constructing geodesic-metric-based Voronoi diagrams on M, this paper studies the analytic structure of iso-contours, bisectors, and Voronoi diagrams on M. After a necessary preprocessing of model M, practical algorithms are proposed for quickly obtaining full information about iso--contours, bisectors, and Voronoi diagrams on M. The complexity of the construction algorithms is also analyzed. Finally, three interesting applications-surface sampling and reconstruction, 3D skeleton extraction, and point pattern analysis-are presented that show the potential power of the proposed algorithms in pattern analysis.

Resumo Limpo

research comput vision machin percept d object usual repres manifold triangular mesh m paper present practic effici algorithm construct isocontour bisector voronoi diagram point site m base exact geodes metric compar euclidean metric space voronoi diagram m exhibit mani special properti fail exist euclidean voronoi algorithm provid practic algorithm construct geodesicmetricbas voronoi diagram m paper studi analyt structur isocontour bisector voronoi diagram m necessari preprocess model m practic algorithm propos quick obtain full inform isocontour bisector voronoi diagram m complex construct algorithm also analyz final three interest applicationssurfac sampl reconstruct d skeleton extract point pattern analysisar present show potenti power propos algorithm pattern analysi

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