Math @ Duke

Publications [#264886] of Guillermo Sapiro
Papers Published
 Sapiro, G; Ringach, DL, Anisotropic diffusion of color images,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 2657
(January, 1996),
pp. 471482, SPIE, ISSN 0277786X [doi]
(last updated on 2019/06/24)
Abstract: A new approach for anisotropic diffusion processing of color images is proposed. The main idea of the algorithm is to facilitate diffusion of the image in the direction parallel to color edges. The direction of maximal and minimal color change at each point is computed using the first fundamental form of the image in (L*a*b*) color space. The image Φ evolves according to an anisotropic diffusion flow given by δΦ/δt equals g(λ +, λ )δ 2Φ/δξ 2, where ξ is the direction of minimal color change. The diffusion coefficient, g(λ +, λ ), is a function of the eigenvalues of the first fundamental form, which represent the maximal and minimal rates of color change. Examples for real color images are presented.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

