Title :
On evolute cusps and skeleton bifurcations
Author :
Belyaev, Alexander ; Yoshizawa, Shin
Author_Institution :
Aizu Univ., Japan
Abstract :
Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time
Keywords :
bifurcation; computational geometry; mathematical morphology; bounded medial axis; evolute cusps; evolving 2D smooth closed curve; evolving 3D surfaces; exact conditions; skeleton bifurcations; skeleton branches; Bifurcation; Humans; Java; Marine animals; Shape; Skeleton; Taylor series;
Conference_Titel :
Shape Modeling and Applications, SMI 2001 International Conference on.
Conference_Location :
Genova
Print_ISBN :
0-7695-0853-7
DOI :
10.1109/SMA.2001.923384
