Title :
Images as embedding maps and minimal surfaces: a unified approach for image diffusion
Author :
Kimmel, R. ; Malladi, R. ; Sochen, N.
Author_Institution :
Dept. of Math., California Univ., Berkeley, CA, USA
Abstract :
We introduce a new geometrical framework for image processing. This framework finds a seamless link between the TV-L1 and the L2 norms that are often used in image processing, based on the geometry of the image and its interpretation as a surface. It unifies most of the current “scale space” models for images by a simple selection of one parameter, yet more important, it enables one to introduce new methods to deal with images in a simple and natural way. A functional called “Polyakov (1981) action”, borrowed from high energy physics, is shown to be useful for image enhancement in color, texture, volumetric medical data, movies, and more
Keywords :
image colour analysis; image enhancement; image texture; medical image processing; parameter estimation; 3D medical data; CT; MRI; Polyakov action; TV-L1 norm; TV-L2 norm; color image; embedding maps; geometrical framework; harmonic maps; high energy physics; image diffusion; image enhancement; image geometry; image processing; minimal surfaces; movies; parameter selection; scale space models; texture; unified approach; volumetric medical data; Biomedical imaging; Color; Colored noise; Image processing; Laboratories; Motion pictures; Rough surfaces; Smoothing methods; Surface roughness; Surface treatment;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.632121
