Explicit coherence enhancing filter with spatial adaptive elliptical kernel

Fang Li; Ling Pi; Tieyong Zeng

doi:10.1109/LSP.2012.2206582

Explicit coherence enhancing filter with spatial adaptive elliptical kernel

Fang Li^*, Ling Pi, Tieyong Zeng

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

19 Citations (Scopus)

Abstract

The goal of this letter is to provide an elliptical filter to improve image coherence for the task of image smoothing and inpainting. The kernel of this filter is adaptively weighted and its shape is determined by local coherence estimation. The long axis of its ellipse is the same as the coherence direction and we put more weight there to enhance coherence. Compared with the related anisotropic partial differential equations (PDEs) or wavelet shrinkage methods, the proposed filter is extremely simple, instinctive and easy to code. Numerical examples and comparisons illustrate clearly the good performance of the proposed filter.

Original language	English
Article number	6227335
Pages (from-to)	555-558
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	19
Issue number	9
DOIs	https://doi.org/10.1109/LSP.2012.2206582
Publication status	Published - Sept 2012

Scopus Subject Areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

User-Defined Keywords

Coherence
elliptical kernel
inpainting
structure tensor

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10.1109/LSP.2012.2206582

Cite this

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title = "Explicit coherence enhancing filter with spatial adaptive elliptical kernel",

abstract = "The goal of this letter is to provide an elliptical filter to improve image coherence for the task of image smoothing and inpainting. The kernel of this filter is adaptively weighted and its shape is determined by local coherence estimation. The long axis of its ellipse is the same as the coherence direction and we put more weight there to enhance coherence. Compared with the related anisotropic partial differential equations (PDEs) or wavelet shrinkage methods, the proposed filter is extremely simple, instinctive and easy to code. Numerical examples and comparisons illustrate clearly the good performance of the proposed filter.",

keywords = "Coherence, elliptical kernel, inpainting, structure tensor",

author = "Fang Li and Ling Pi and Tieyong Zeng",

note = "Funding Information: Manuscript received April 12, 2012; revised June 16, 2012; accepted June 24, 2012. Date of publication June 28, 2012; date of current version July 11, 2012. This work was supported by the 973 Program (2011CB707104), the National Science Foundation of China (11001082, 10901104, 10871126), and RGC 211710, 211911 and RFGs of HKBU. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Ce Zhu.",

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doi = "10.1109/LSP.2012.2206582",

language = "English",

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AU - Li, Fang

AU - Pi, Ling

AU - Zeng, Tieyong

N1 - Funding Information: Manuscript received April 12, 2012; revised June 16, 2012; accepted June 24, 2012. Date of publication June 28, 2012; date of current version July 11, 2012. This work was supported by the 973 Program (2011CB707104), the National Science Foundation of China (11001082, 10901104, 10871126), and RGC 211710, 211911 and RFGs of HKBU. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Ce Zhu.

PY - 2012/9

Y1 - 2012/9

N2 - The goal of this letter is to provide an elliptical filter to improve image coherence for the task of image smoothing and inpainting. The kernel of this filter is adaptively weighted and its shape is determined by local coherence estimation. The long axis of its ellipse is the same as the coherence direction and we put more weight there to enhance coherence. Compared with the related anisotropic partial differential equations (PDEs) or wavelet shrinkage methods, the proposed filter is extremely simple, instinctive and easy to code. Numerical examples and comparisons illustrate clearly the good performance of the proposed filter.

AB - The goal of this letter is to provide an elliptical filter to improve image coherence for the task of image smoothing and inpainting. The kernel of this filter is adaptively weighted and its shape is determined by local coherence estimation. The long axis of its ellipse is the same as the coherence direction and we put more weight there to enhance coherence. Compared with the related anisotropic partial differential equations (PDEs) or wavelet shrinkage methods, the proposed filter is extremely simple, instinctive and easy to code. Numerical examples and comparisons illustrate clearly the good performance of the proposed filter.

KW - Coherence

KW - elliptical kernel

KW - inpainting

KW - structure tensor

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U2 - 10.1109/LSP.2012.2206582

DO - 10.1109/LSP.2012.2206582

M3 - Journal article

AN - SCOPUS:84863893247

SN - 1070-9908

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SP - 555

EP - 558

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 9

M1 - 6227335

ER -

Explicit coherence enhancing filter with spatial adaptive elliptical kernel

Abstract

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