Total Variation, Adaptive Total Variation and Nonconvex Smoothly Clipped Absolute Deviation Penalty for Denoising Blocky Images

06/02/2009
by   Aditya Chopra, et al.
0

The total variation-based image denoising model has been generalized and extended in numerous ways, improving its performance in different contexts. We propose a new penalty function motivated by the recent progress in the statistical literature on high-dimensional variable selection. Using a particular instantiation of the majorization-minimization algorithm, the optimization problem can be efficiently solved and the computational procedure realized is similar to the spatially adaptive total variation model. Our two-pixel image model shows theoretically that the new penalty function solves the bias problem inherent in the total variation model. The superior performance of the new penalty is demonstrated through several experiments. Our investigation is limited to "blocky" images which have small total variation.

READ FULL TEXT

page 18

page 23

research
06/18/2023

Weighted structure tensor total variation for image denoising

Based on the variational framework of the image denoising problem, we in...
research
03/02/2016

A Nonlinear Weighted Total Variation Image Reconstruction Algorithm for Electrical Capacitance Tomography

A new iterative image reconstruction algorithm for electrical capacitanc...
research
07/28/2023

Uncertainty Quantification for Scale-Space Blob Detection

We consider the problem of blob detection for uncertain images, such as ...
research
10/21/2020

Unrolling of Deep Graph Total Variation for Image Denoising

While deep learning (DL) architectures like convolutional neural network...
research
11/16/2015

Probabilistic Segmentation via Total Variation Regularization

We present a convex approach to probabilistic segmentation and modeling ...
research
03/12/2019

A total variation based regularizer promoting piecewise-Lipschitz reconstructions

We introduce a new regularizer in the total variation family that promot...
research
03/16/2023

Learned Discretization Schemes for the Second-Order Total Generalized Variation

The total generalized variation extends the total variation by incorpora...

Please sign up or login with your details

Forgot password? Click here to reset