[图书][B] Linear and nonlinear inverse problems with practical applications
JL Mueller, S Siltanen - 2012 - SIAM
Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …
an area of contemporary mathematics, the field of inverse problems is strongly driven by …
[图书][B] Sparse image and signal processing: wavelets, curvelets, morphological diversity
This book presents the state of the art in sparse and multiscale image and signal processing,
covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and …
covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and …
Fractional-order anisotropic diffusion for image denoising
J Bai, XC Feng - IEEE transactions on image processing, 2007 - ieeexplore.ieee.org
This paper introduces a new class of fractional-order anisotropic diffusion equations for
noise removal. These equations are Euler-Lagrange equations of a cost functional which is …
noise removal. These equations are Euler-Lagrange equations of a cost functional which is …
Solving constrained total-variation image restoration and reconstruction problems via alternating direction methods
In this paper, we study alternating direction methods for solving constrained total-variation
image restoration and reconstruction problems. Alternating direction methods can be …
image restoration and reconstruction problems. Alternating direction methods can be …
Fast cartoon+ texture image filters
Can images be decomposed into the sum of a geometric part and a textural part? In a
theoretical breakthrough,[Y. Meyer, Oscillating Patterns in Image Processing and Nonlinear …
theoretical breakthrough,[Y. Meyer, Oscillating Patterns in Image Processing and Nonlinear …
[图书][B] Sparse image and signal processing: Wavelets and related geometric multiscale analysis
This thoroughly updated new edition presents state of the art sparse and multiscale image
and signal processing. It covers linear multiscale geometric transforms, such as wavelet …
and signal processing. It covers linear multiscale geometric transforms, such as wavelet …
Cahn–Hilliard inpainting and a generalization for grayvalue images
M Burger, L He, CB Schönlieb - SIAM Journal on Imaging Sciences, 2009 - SIAM
The Cahn–Hilliard equation is a nonlinear fourth order diffusion equation originating in
material science for modeling phase separation and phase coarsening in binary alloys. The …
material science for modeling phase separation and phase coarsening in binary alloys. The …
A low patch-rank interpretation of texture
H Schaeffer, S Osher - SIAM Journal on Imaging Sciences, 2013 - SIAM
We propose a novel cartoon-texture separation model using a sparse low-rank
decomposition. Our texture model connects the separate ideas of robust principal …
decomposition. Our texture model connects the separate ideas of robust principal …
[PDF][PDF] Unconditionally stable schemes for higher order inpainting
A Bertozzi, CB Schönlieb - Communications in Mathematical Sciences, 2011 - intlpress.com
Higher order equations, when applied to image inpainting, have certain advantages over
second order equations, such as continuation of both edge and intensity information over …
second order equations, such as continuation of both edge and intensity information over …