Title :
Combinatorial Ricci Curvature and Laplacians for Image Processing
Author :
Saucan, Emil ; Wolansky, Gershon ; Appleboim, Eli ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Math. Technion, Technion - Israel Inst. of Technol., Haifa, Israel
Abstract :
A new Combinatorial Ricci curvature and Laplacian operators for grayscale images are introduced and tested on 2D synthetic, natural and medical images. The effectiveness of the notions introduced herein, as compared with more classical methods, is shown by a variety of experimental results. Analogue formulae for voxels are also obtained. This novel approach is based upon more general concepts developed by R. Forman. Further applications, in particular a fitting Ricci flow, are discussed.
Keywords :
Laplace equations; combinatorial mathematics; image processing; Laplacian operators; analogue formulae; combinatorial Ricci curvature; grayscale images; image processing; voxels; Biomedical imaging; Computer graphics; Gray-scale; Image analysis; Image processing; Laplace equations; Mathematics; Medical tests; Solids; Ultrasonic imaging;
Conference_Titel :
Image and Signal Processing, 2009. CISP '09. 2nd International Congress on
Conference_Location :
Tianjin
Print_ISBN :
978-1-4244-4129-7
Electronic_ISBN :
978-1-4244-4131-0
DOI :
10.1109/CISP.2009.5304710
