Surface coding based on Morse theory

Surface coding based on Morse theory

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 r...

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Veröffentlicht in:IEEE computer graphics and applications 1991-09, Vol.11 (5), p.66-78
Hauptverfasser: Shinagawa, Y., Kunii, T.L., Kergosien, Y.L.
Format: Magazinearticle
Sprache:eng
Schlagworte:
Applied sciences
Biomedical imaging
Computer aided design
Computer science
control theory
systems
Ear
Exact sciences and technology
Image reconstruction
Irrigation
Manufacturing
Sequences
Shape
Software
Solids
Surface reconstruction
Topology
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Zusammenfassung: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.< >
ISSN:0272-1716
1558-1756
DOI:10.1109/38.90568