Time-delay regularization of anisotropic diffusion and image processing

Time-delay Regularization of Anisotropic Diffusion and Image Processing

We study a time-delay regularization of the anisotropic diffusion model for image denoising of Perona and Malik [IEEE Trans. Pattern Anal. Mach. Intell 12 (1990) 629–639], which has been proposed by Nitzberg and Shiota [IEEE Trans. Pattern Anal. Mach. Intell 14 (1998) 826–835]. In the two-dimensional case, we show the convergence of a numerical approximation and the existence of a weak solution...

Image Recovery via Diffusion Tensor and Time-Delay Regularization

We present a system of PDEs for image restoration, which consists of an anisotropic diffusion equation driven by a diffusion tensor, whose structure depends on the gradient of the image obtained from a coupled time-delay regularization equation, and governs the direction and the speed of the diffusion. The diffusion resulting from this model is isotropic inside a homogeneous region, anisotropic...

Anisotropic diffusion in image processing

The cover image shows a thresholded nonwoven fabric image which was processed by applying a coherence-enhancing anisotropic diffusion filter (see Section 5.2 for more details). The goal was to visualize the quality relevant adjacent fibre structures , so-called stripes. The displayed equations describe the basic structure of nonlinear diffusion filtering in the continuous, semidiscrete, and ful...

Anisotropic Geometric Diffusion in Image and Image-Sequence Processing

Image Denoising Using Anisotropic Diffusion Equations on Reflection and illumination Components of Image

This paper proposes a new hybrid method based on Homomorphic filtering and anisotropicdiffusion equations for image denoising. In this method, the Homomorphic filtering extracts the reflectionand illumination components of a noisy image. Then a suitable image denoising method based onanisotropic diffusion is applied to each components with its special user-defined parameters .This hybridscheme ...