On the level lines and geometry of vector-valued images

IEEE Signal Processing Letters

Volumn 7, Issue 9, 2000, Pages 241-243

  Chung, Do Hyun ^a   Sapiro, Guillermo ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE ANALYSIS; RIEMANNIAN GEOMETRY; VECTOR-VALUED IMAGES;

COMPUTATIONAL GEOMETRY; IMAGE ANALYSIS; IMAGE ENHANCEMENT; IMAGE QUALITY; SIGNAL FILTERING AND PREDICTION; VECTORS; VISUALIZATION;

IMAGE RECONSTRUCTION;

EID: 0034259627     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.863143     Document Type: Article

References (9)

1. L. Alvarez, F. Guichard, P. L. Lions, and J. M. Morel, "Axioms and fundamental equations of image processing," Arch. Ration. Mech. Anal., vol. 123, pp. 199-257, 1993.
2. L. Ambrosio, V. Caselles, S. Masnou, and J.-M. Morel, "Connected components of sets of finite perimeter and applications to image processing," Eur. J. Math., to be published.
3. C. Ballester, M. Bertalmio, V. Caselles, G. Sapiro, and J. Verdera, "Filling-in by joint interpolation of vector fields and gray levels," Tech. Rep., Inst. Math. Applicat., Univ. Minnesota, Minneapolis, April 2000.
4. A. Cumani, "Edge detection in multispectral images," CVGIP: Graph. Models Image Process., vol. 53, no. 1, pp. 40-51, 1991.
5. S. Di Zenzo, "A note on the gradient of a multi-image," Comput. Vis. Graph. Image Process., vol. 33, pp. 116-125, 1986.
6. G. Harikumar and Y. Bresler, "Feature extraction techniques for exploratory visualization of vector-valued imagery," IEEE Trans. Image Processing, pp. 1324-1334, Sept. 1996.
7. C. Kenney and J. Langan, "A new image processing primitive: reconstructing images from modified flow fields," Univ. California, Santa Barbara, 1999.
8. E. Kreyszig, "Differential geometry," Univ. Toronto, Toronto, ON, Canada, 1959.
9. J. Serra, Image Analysis and Mathematical Morphology. New York: Academic, 1982.