Anisotropic diffusion with monotonic edge-sharpening

Wenhua Ma; Yu Li You; Mostafa Kaveh

doi:10.1117/12.840113

Anisotropic diffusion with monotonic edge-sharpening

Wenhua Ma, Yu Li You, Mostafa Kaveh

Administration (CSENG)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

Through its evolution with time, anisotropic diffusion provides multi-scale edge-sensitive smoothing of noisy images. Depending on the type of equation used, such a procedure may also have the ability to sharpen the edges. This paper characterizes the edge-sharpening abilities of a well-known diffusion equation based on the characteristics of the second eigenvalue of the Hessian of a function related to the diffusivity function. It then proposes a new way of diffusivity function design based on the natural requirement of the degree of edge sharpening monotonically related to the strength of edges. A comparative example based on the Structural Similarity Index (SSIM) is also presented.

Original language	English (US)
Title of host publication	Proceedings of SPIE-IS and T Electronic Imaging - Image Processing
Subtitle of host publication	Algorithms and Systems VIII
DOIs	https://doi.org/10.1117/12.840113
State	Published - May 14 2010
Event	Image Processing: Algorithms and Systems VIII - San Jose, CA, United States Duration: Jan 19 2010 → Jan 20 2010

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	7532
ISSN (Print)	0277-786X

Conference

Conference	Image Processing: Algorithms and Systems VIII
Country	United States
City	San Jose, CA
Period	1/19/10 → 1/20/10

Keywords

Anisotropic diffusion
Denoising
Diffusivity
Edge sharpening
I mage enhancement

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10.1117/12.840113

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Anisotropic diffusion with monotonic edge-sharpening. / Ma, Wenhua; You, Yu Li; Kaveh, Mostafa.

Proceedings of SPIE-IS and T Electronic Imaging - Image Processing: Algorithms and Systems VIII. 2010. 753211 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 7532).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ma, W, You, YL & Kaveh, M 2010, Anisotropic diffusion with monotonic edge-sharpening. in Proceedings of SPIE-IS and T Electronic Imaging - Image Processing: Algorithms and Systems VIII., 753211, Proceedings of SPIE - The International Society for Optical Engineering, vol. 7532, Image Processing: Algorithms and Systems VIII, San Jose, CA, United States, 1/19/10. https://doi.org/10.1117/12.840113

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