Title :
Surface coding based on Morse theory
Author :
Shinagawa, Yoshihisa ; Kunii, Tosiyasu L. ; Kergosien, Yannick L.
Author_Institution :
Dept. of Inf. Sci., Tokyo Univ., Japan
Abstract :
Coding system requirements are briefly discussed. Classical Morse theory, which was primarily motivated by the calculus of variations, is reviewed. The limits of the theory are examined, and an extension that enables 3-D surfaces to be accurately reconstructed from cross sections is presented. The resulting coding works interactively with a range of surface reconstruction systems. The prototype coding system is applied to representing the hierarchical structure of contours.<>
Keywords :
computer graphics; encoding; topology; 3-D surfaces; Morse theory; calculus of variations; coding system; contours; cross sections; hierarchical structure; surface coding; surface reconstruction; Biomedical imaging; Ear; Image reconstruction; Irrigation; Manufacturing; Sequences; Shape; Solids; Surface reconstruction; Topology;
Journal_Title :
Computer Graphics and Applications, IEEE
