A topological variational model for image singularities

IEEE International Conference on Image Processing

Volumn 1, Issue , 2002, Pages

  Hamza, A Ben ^a   Krim, Hamid ^a  

^a North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COMPUTER VISION; DIFFERENTIATION (CALCULUS); GRADIENT METHODS; GRAPH THEORY; MATHEMATICAL MODELS; OPTIMIZATION; THEOREM PROVING; VARIATIONAL TECHNIQUES;

HESSIAN MATRIX; IMAGE SINGULARITY; MORSE THEORY; TOPOLOGICAL GRADIENT DESCENT FLOW;

IMAGE ANALYSIS;

EID: 0036453635     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. J. Morel and S. Solemini, Variational Methods in Image Segmentation, Birkhauser, Boston, 1995.
2. A. Ben Hamza and H. Krim, "Towards a Unified View of Estimation: Variational vs. Statistical," Proc. IEEE Int. Conf. Image Processing, Greece, October 2001.
3. A. Ben Hamza and H. Krim, "A Variational Approach to MAP Estimation for Image Denoising," Lecture Notes in Computer Science, vol. 2134, pp. 19-34, September 2001.
4. A.T. Fomenco and T.L. Kunii, Topological modeling for visualization, Springer-Verlag Tokyo, 1997.
5. V.I. Arnold, The Theory of Singularities and Its Applications, Accademia Nazionale dei Lincein, Italy 1991.
6. D.P.L. Castrigiano and S.A. Hayes, Catastrophe theory, Addison-Wesley Publishing Company, 1993.
7. M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, New Jersey, 1976.
8. M. Giaquinta and S. Hildebrandt, Calculus of Variations I: The Lagrangian Formalism, Springer-Verlag, 1996.