A review of nonlinear diffusion filtering

J Weickert - International conference on scale-space theories in …, 1997 - Springer
This paper gives an overview of scale-space and image enhancement techniques which are
based on parabolic partial differential equations in divergence form. In the nonlinear setting …

[图书][B] Anisotropic diffusion in image processing

J Weickert - 1998 - lpi.tel.uva.es
Partial differential equations (PDEs) have led to an entire new field in image processing and
computer vision. Hundreds of publications have appeared in the last decade, and PDE …

[图书][B] Anisotropic geometric diffusion in surface processing

U Clarenz, U Diewald, M Rumpf - 2000 - ieeexplore.ieee.org
A new multiscale method in surface processing is presented which combines the image
processing methodology based on nonlinear diffusion equations and the theory of geometric …

Geometrical image segmentation by the Allen–Cahn equation

M Beneš, V Chalupecký, K Mikula - Applied Numerical Mathematics, 2004 - Elsevier
We present an algorithm of pattern recovery (image segmentation) based on the solution of
the Allen–Cahn equation. The approach is usually understood as a regularization of the …

Applications of nonlinear diffusion in image processing and computer vision

J Weickert - None, 2000 - madoc.bib.uni-mannheim.de
Nonlinear diffusion processes can be found in many recent methods for image processing
and computer vision. In this article, four applications are surveyed: nonlinear diffusion …

Adaptive smoothing via contextual and local discontinuities

K Chen - IEEE Transactions on Pattern analysis and machine …, 2005 - ieeexplore.ieee.org
A novel adaptive smoothing approach is proposed for noise removal and feature
preservation where two distinct measures are simultaneously adopted to detect …

Anisotropic diffusion in vector field visualization on euclidean domains and surfaces

U Diewald, T Preusser, M Rumpf - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
Vector field visualization is an important topic in scientific visualization. Its aim is to
graphically represent field data on two and three-dimensional domains and on surfaces in …

Image structure preserving denoising using generalized fractional time integrals

E Cuesta, M Kirane, SA Malik - Signal Processing, 2012 - Elsevier
A generalization of the linear fractional integral equation u (t)= u0+∂− αAu (t), 1< α< 2,
which is written as a Volterra matrix-valued equation when applied as a pixel-by-pixel …

A direct method for solving an anisotropic mean curvature flow of plane curves with an external force

K Mikula, D Sevcovic - Mathematical Methods in the Applied …, 2004 - Wiley Online Library
A new method for solution of the evolution of plane curves satisfying the geometric equation
v= β (x, k, ν), where v is the normal velocity, k and ν are the curvature and tangential angle of …

Computational and qualitative aspects of evolution of curves driven by curvature and external force

K Mikula, D Ševčovič - Computing and Visualization in Science, 2004 - Springer
We propose a direct method for solving the evolution of plane curves satisfying the
geometric equation v= β (x, k, ν) where v is the normal velocity, k and ν are the curvature and …