Learning an Integral Equation Approximation to Nonlinear Anisotropic Diffusion in Image Processing

  title={Learning an Integral Equation Approximation to Nonlinear Anisotropic Diffusion in Image Processing},
  author={Bruce Fischl and Eric L. Schwartz},
  journal={IEEE Trans. Pattern Anal. Mach. Intell.},
Multiscale image enhancement and representation is an important part of biological and machine early vision systems. The process of constructing this representation must be both rapid and insensitive to noise, while retaining image structure at all scales. This is a complex task as small scale structure is difficult to distinguish from noise, while larger scale structure requires more computational effort. In both cases, good localization can be problematic. Errors can also arise when… CONTINUE READING
Highly Cited
This paper has 50 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 24 extracted citations

Edge preserving image restoration using Augmented Lagrangian method

2016 International Conference on Electronics, Information, and Communications (ICEIC) • 2016
View 1 Excerpt

Fine Structure Recognition in Multichannel Observations

2012 International Conference on Digital Image Computing Techniques and Applications (DICTA) • 2012
View 1 Excerpt

Shape from Defocus via Diffusion

IEEE Transactions on Pattern Analysis and Machine Intelligence • 2008
View 1 Excerpt

Adaptive smoothing via contextual and local discontinuities

IEEE Transactions on Pattern Analysis and Machine Intelligence • 2005
View 3 Excerpts

fewer than 50 Citations

Citations per Year
Semantic Scholar estimates that this publication has 50 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 50 references

Nonlinear Image Filtering with Edge and Corner Enhancement

IEEE Trans. Pattern Anal. Mach. Intell. • 1992
View 5 Excerpts
Highly Influenced

The structure of images

Biological Cybernetics • 1984
View 4 Excerpts
Highly Influenced

Nonlinear Adaptive Image Filtering Based on Inhomogenious Diffusion and Differential Geometry

A. I. El-Fallah, G. E. Ford
Proc . IEEE Southwest Symp . Image Analysis and Interpretation • 1994
View 3 Excerpts
Highly Influenced

Solution of Nonlinear Diffusion Appearing in Image Smoothing and Edge Detection

M. Imbert
Applied Numerical Mathematics • 1995

Solution of nonlinear di usion appearing in image smoothing and edge detection

Kacur, Mikula, J. 1995 Kacur, K. Mikula

Anisotropic di usion

Perona et al, P. 1994 Perona, T. Shiota, J. Malik
Geometry Driven • 1994

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

P.-L. Lions F. Catte, J.-M. Morel
SIAM J . Numerical Analysis • 1994

Nonlinear Filters for Efficient Shock Computation

P. Lotstedt, B. Sjogreen
SPIE Image and Video Processing II • 1994

Nonlinear adaptive image ltering based on inhomogeneous di usion and

El-Fallah, Ford, A. I. 1994 El-Fallah, G. E. Ford

Nonlinear di usionwith multiple edginess thresholds

Li, Chen, X. 1994 Li, T. Chen
Pattern Recognition, • 1994

Similar Papers

Loading similar papers…