Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

Francine Catté; Pierre-Louis Lions; Jean-Michel Morel; Tomeu Coll

doi:10.1137/0729012

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

SIAM Journal on Numerical Analysis ◽

10.1137/0729012 ◽

1992 ◽

Vol 29 (1) ◽

pp. 182-193 ◽

Cited By ~ 1060

Author(s):

Francine Catté ◽

Pierre-Louis Lions ◽

Jean-Michel Morel ◽

Tomeu Coll

Keyword(s):

Edge Detection ◽

Nonlinear Diffusion ◽

Selective Smoothing

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Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II

SIAM Journal on Numerical Analysis ◽

10.1137/0729052 ◽

1992 ◽

Vol 29 (3) ◽

pp. 845-866 ◽

Cited By ~ 797

Author(s):

Luis Alvarez ◽

Pierre-Louis Lions ◽

Jean-Michel Morel

Keyword(s):

Edge Detection ◽

Nonlinear Diffusion ◽

Selective Smoothing

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Edge preserving image smoothing using nonlinear diffusion and a semi-local edge detection technique in digital mammography images

10.1117/12.812370 ◽

2009 ◽

Author(s):

Mark M. Roden ◽

Lawrence W. Bassett ◽

Daniel Valentino

Keyword(s):

Edge Detection ◽

Digital Mammography ◽

Nonlinear Diffusion ◽

Detection Technique ◽

Image Smoothing ◽

Edge Preserving ◽

Local Edge ◽

Local Edge Detection

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A nonlinear diffusion equation as a fast and optimal solver of edge detection problems

1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258) ◽

10.1109/icassp.1999.757584 ◽

1999 ◽

Cited By ~ 3

Author(s):

I. Pollak ◽

A.S. Willsky ◽

H. Krim

Keyword(s):

Diffusion Equation ◽

Edge Detection ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation

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Solution of nonlinear diffusion appearing in image smoothing and edge detection

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00008-i ◽

1995 ◽

Vol 17 (1) ◽

pp. 47-59 ◽

Cited By ~ 55

Author(s):

Jozef Kačur ◽

Karol Mikula

Keyword(s):

Edge Detection ◽

Nonlinear Diffusion ◽

Image Smoothing

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Image selective smoothing and denoising using modified nonlinear diffusion (MAD) approach

National Conference on Signal and Image Processing Applications ◽

10.1049/ic.2009.0145 ◽

2009 ◽

Author(s):

A.R. Upadhyay ◽

R.K. Choudhary ◽

S.N. Talbar

Keyword(s):

Nonlinear Diffusion ◽

Selective Smoothing

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A modified nonlinear diffusion model and its application to image smoothing and edge detection

Journal of Electronics (China) ◽

10.1007/s11767-001-0003-x ◽

2001 ◽

Vol 18 (1) ◽

pp. 17-23

Author(s):

Deliang Xu ◽

Yaguang Wang ◽

Chuqin Zhou ◽

Haiping Shen

Keyword(s):

Edge Detection ◽

Diffusion Model ◽

Nonlinear Diffusion ◽

Image Smoothing

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On Selecting the Appropriate Scale in Image Selective Smoothing by Nonlinear Diffusion

2018 IEEE Seventh International Conference on Communications and Electronics (ICCE) ◽

10.1109/cce.2018.8465764 ◽

2018 ◽

Cited By ~ 8

Author(s):

V. B. Surya Prasath ◽

Dang N. H. Thanh ◽

Nguyen H. Hai

Keyword(s):

Nonlinear Diffusion ◽

Appropriate Scale ◽

Selective Smoothing

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An Intelligent Method for Edge Detection based on Nonlinear Diffusion

Artificial Intelligence in Theory and Practice II - IFIP – The International Federation for Information Processing ◽

10.1007/978-0-387-09695-7_32 ◽

2008 ◽

pp. 329-338 ◽

Cited By ~ 1

Author(s):

C. A. Z. Barcelos ◽

V. B. Pires

Keyword(s):

Edge Detection ◽

Nonlinear Diffusion

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Smoothing and Edge Detection by Time-Varying Coupled Nonlinear Diffusion Equations

Computer Vision and Image Understanding ◽

10.1006/cviu.2001.0903 ◽

2001 ◽

Vol 82 (2) ◽

pp. 85-100 ◽

Cited By ~ 42

Author(s):

Y. Chen ◽

C.A.Z. Barcelos ◽

B.A. Mair

Keyword(s):

Edge Detection ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Time Varying ◽

Nonlinear Diffusion Equations

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Anisotropic and nonlinear diffusion applied to image enhancement and edge detection

International Journal of Computer Applications in Technology ◽

10.1504/ijcat.2014.060523 ◽

2014 ◽

Vol 49 (2) ◽

pp. 122 ◽

Cited By ~ 1

Author(s):

M. Ait Oussous ◽

N. Alaa ◽

Y. Ait Khouya

Keyword(s):

Edge Detection ◽

Image Enhancement ◽

Nonlinear Diffusion

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