Coherence-Enhancing Shock Filters

  title={Coherence-Enhancing Shock Filters},
  author={Joachim Weickert},
  • J. Weickert
  • Published in DAGM-Symposium 10 September 2003
  • Engineering
Shock filters are based in the idea to apply locally either a dilation or an erosion process, depending on whether the pixel belongs to the influence zone of a maximum or a minimum. They create a sharp shock between two influence zones and produce piecewise constant segmentations. In this paper we design specific shock filters for the enhancement of coherent flow-like structures. They are based on the idea to combine shock filtering with the robust orientation estimation by means of the… 

Coherence enhancing image sharpening and denoising using a novel shock filter model

The proposed method allows for better control and anisotropic shock filtering, via its control functions f1 and f2, and has the ability of successfully enhancing GB+AWGN images while exhibiting a coherence enhancing behavior.

Fast smoothed shock filtering

This article proposes to improve the original shock filtering scheme using smoothed local histograms and serves as an easily-controlled and fast denoising algorithm, in comparison with other shock filters in the literature.

Image enhancement using hybrid shock filters

The proposed method allows for better control and anisotropic, contour-driven shock filtering, via its control functions f1 and f2, and the ability of successfully enhancing GB+AWGN images while preserving a stable-convergent time behavior.

Morphological Sharpening and Denoising Using a Novel Shock Filter Model

The proposed method allows for better control and anisotropic, contour-driven, shock filtering via its control functions f1 and f2, and preserves a stable-convergent time behavior.

Selective image smoothing and feature enhancement using modified shock filters

  • A. BiniM. S. Bhat
  • Engineering
    The 8th Electrical Engineering/ Electronics, Computer, Telecommunications and Information Technology (ECTI) Association of Thailand - Conference 2011
  • 2011
Shock filters are widely used for image enhancement and deblurring. These filters make use of nonlinear hyperbolic Partial Differential Equations (PDEs) in order to sharpen the edges. However, in

Anisotropic shock filter for enhancement and non-photorealistic generation of flow patterns

  • K. InoueK. Urahama
  • Engineering
    The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04.
  • 2004
An anisotropic shock filter is designed for edge-preserving enhancement of flow patterns in grayscale and color images and is applied to non-photorealistic enhancement of painting strokes and transforming photographs to oil-painting like images with active generation offlow patterns.

Half Gaussian Kernels Based Shock Filter for Image Deblurring and Regularization

The proposed approach uses a half smoothing kernel to get the precise edge directions, and use different shock-diffusion strategies for different image regions to restore both blurred and noisy image.

A Shock Filter for Image Deblurring and Enhancement with Oriented Hourglass Tensor

The method is compared to 5 other PDE techniques, presenting its interest, robustness and reliability, as, for example, without creating a grainy effect around deblurred edges by visualizing isophote lines.

Theoretical foundations for 1-D shock filtering

While shock filters are popular morphological image enhancement methods, no well-posedness theory is available for their corresponding partial differential equations (PDE). By analysing the dynamical



Coherence-Enhancing Diffusion Filtering

This work presents a multiscale method in which a nonlinear diffusion filter is steered by the so-called interest operator (second-moment matrix, structure tensor), and an m-dimensional formulation of this method is analysed with respect to its well-posedness and scale-space properties.

Shocks and other nonlinear filtering applied to image processing

Two new filters for image enhancement are developed, extending the early work of the authors. One filter uses a new nonlinear time dependent partial differential equation and its discretization, the

Regularized Shock Filters and Complex Diffusion

This work addresses the issue of regularizing Osher and Rudin's shock filter, used for image deblurring, and proposes an original solution of adding a complex diffusion term to the shock equation to smooth out noise and indicate inflection points simultaneously.

Feature-oriented image enhancement using shock filters

Shock filters for image enhancement are developed. The filters use new nonlinear time dependent partial differential equations and their discretizations. The evolution of the initial image $u_0

Crease Enhancement Diffusion

It is shown that classical diffusion-based filters are not always appropriate for this task and a new filtering process is proposed that can be interpreted as an example of introducing the intrinsic image structure in a diffusion process.

Signal and image restoration using shock filters and anisotropic diffusion

The authors define a new class of filters for noise elimination and edge enhancement by using shock filters and anisotropic diffusion. Some nonlinear partial differential equations used as models f...

Coherence-enhancing diffusion of colour images

Nonlinear operators in image restoration

A variational approach such that during image restoration, edges detected in the original image are being preserved, which compares to some of the well known methods recently proposed in the literature within the class of PDE based algorithms.

Scale-Space and Edge Detection Using Anisotropic Diffusion

A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.

Image sharpening by morphological filtering