Rotation invariant topology coding of 2D and 3D objects using morse theory

Proceedings - International Conference on Image Processing, ICIP

Volumn 3, Issue , 2005, Pages 796-799

  Balocht, Sajjad ^a,b   Krim, Hamid ^a,b   Kogan, Irina ^a,b   Zenkov, Dmitry ^a,b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b Department of Electrical and Computer Engineering ^*

Author keywords

[No Author keywords available]

Indexed keywords

MORSE THEORY; REEB GRAPH; SCALE INVARIANT SKELETAL GRAPHS;

ALGORITHMS; FUNCTIONS; GRAPH THEORY; THREE DIMENSIONAL COMPUTER GRAPHICS;

IMAGE CODING;

EID: 33749260335     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2005.1530512     Document Type: Conference Paper

References (7)

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2. M. Hilaga, Y. Shinagawa, T. Kohmura, and T. L. Kunii, "Topology Matching for Fully Automatic Similarity Estimation of 3D Shapes", Proc. SIGGRAPH, pp. 203-212, August 2001.
3. F. Lazarus, and A. Verroust, "Level set diagrams of polyheral objects", Proc. Fifth ACM symposium on Solid Modeling and Applications, pp. 130-140, June 1999.
4. Y. Matsumoto, An Introduction to Morse Theory, American Mathematical Society, 1997.
5. J. Milnor, Morse Theory, Princeton University Press, Princeton, N.T, 1963.
6. G. Reeb, "Sur les points singuliers d'une forme de pfaff complèment intégrable ou d'une fonction numérique", Comptes Rendus de L'Académie ses Séances, Paris, 222, pp. 847-849, 1946.
7. Y. Shinagawa, and T. L. Kunii, "Constructing a Reeb graph automatically from cross sections", IEEE Computer Graphics and Applications, 11(6), pp. 44-51, November 1991.