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An Edge-Adapting Laplacian Kernel For Nonlinear Diffusion Filters

Title:

An Edge-Adapting Laplacian Kernel For Nonlinear Diffusion Filters

Hajiaboli, M. R., Ahmad, M. O. and Wang, C. (2012) An Edge-Adapting Laplacian Kernel For Nonlinear Diffusion Filters. IEEE Transactions on Image Processing, 21 (4). pp. 1561-1572. ISSN 1057-7149

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Official URL: http://dx.doi.org/10.1109/TIP.2011.2172803

Abstract

In this paper, first, a new Laplacian kernel is developed to integrate into it the anisotropic behavior to control the process of forward diffusion in horizontal and vertical directions. It is shown that, although the new kernel reduces the process of edge distortion, it nonetheless produces artifacts in the processed image. After examining the source of this problem, an analytical scheme is devised to obtain a spatially varying kernel that adapts itself to the diffusivity function. The proposed spatially varying Laplacian kernel is then used in various nonlinear diffusion filters starting from the classical Perona-Malik filter to the more recent ones. The effectiveness of the new kernel in terms of quantitative and qualitative measures is demonstrated by applying it to noisy images.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Hajiaboli, M. R. and Ahmad, M. O. and Wang, C.
Journal or Publication:IEEE Transactions on Image Processing
Date:2012
Digital Object Identifier (DOI):10.1109/TIP.2011.2172803
ID Code:981318
Deposited By: CHUNYAN WANG
Deposited On:08 Jun 2016 19:46
Last Modified:18 Jan 2018 17:52
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