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 (Phi) evolves according to an anisotropic diffusion flow given by (delta) (Phi) /(delta) t equals g((lambda) +, (lambda) -)(delta) 2(Phi) /(delta) (xi) 2, where (xi) is the direction of minimal color change. The diffusion coefficient, g((lambda) +, (lambda) -), 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.© (1996) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Keywords
LambdaDiffusionAnisotropic diffusionEigenvalues and eigenvectorsImage (mathematics)MathematicsArtificial intelligenceColor spaceComputer visionPhysicsComputer scienceAlgorithmOpticsQuantum mechanics
Affiliated Institutions
Related Publications
Theory of Boundary Effects of Superconductors
An extension of the phenomenological London equations to take into account a space variation of the concentration of superconducting electrons is presented. The theory differs f...
Three‐dimensional Parameterization of the Stellar Locus with Application to QSO Color Selection
A straightforward method for parameterizing and visualizing a locus of points in n-space is presented. The algorithm applies directly to the problem of distinguishing QSOs from ...
Region competition: unifying snakes, region growing, energy/Bayes/MDL for multi-band image segmentation
We present a novel statistical and variational approach to image segmentation based on a new algorithm named region competition. This algorithm is derived by minimizing a genera...
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
Suppose we are given a vector f in a class F ⊂ ℝN, e.g., a class of digital signals or digital images. How many linear measurements do we need to make about f to be able to reco...
Cosmological implications of baryon acoustic oscillation measurements
Here, we derive constraints on cosmological parameters and tests of dark energy models from the combination of baryon acoustic oscillation (BAO) measurements with cosmic microwa...
Publication Info
- Year
- 1996
- Type
- article
- Volume
- 2657
- Pages
- 471-482
- Citations
- 11
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
11
OpenAlex
Cite This
Guillermo Sapiro,
Dario L. Ringach
(1996).
<title>Anisotropic diffusion of color images</title>.
Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
, 2657
, 471-482.
https://doi.org/10.1117/12.238745
Identifiers
- DOI
- 10.1117/12.238745