Total Variation Applications in Computer Vision

03/31/2016
by   Vania V. Estrela, et al.
0

The objectives of this chapter are: (i) to introduce a concise overview of regularization; (ii) to define and to explain the role of a particular type of regularization called total variation norm (TV-norm) in computer vision tasks; (iii) to set up a brief discussion on the mathematical background of TV methods; and (iv) to establish a relationship between models and a few existing methods to solve problems cast as TV-norm. For the most part, image-processing algorithms blur the edges of the estimated images, however TV regularization preserves the edges with no prior information on the observed and the original images. The regularization scalar parameter λ controls the amount of regularization allowed and it is an essential to obtain a high-quality regularized output. A wide-ranging review of several ways to put into practice TV regularization as well as its advantages and limitations are discussed.

READ FULL TEXT

page 7

page 9

research
10/12/2018

MPTV: Matching Pursuit Based Total Variation Minimization for Image Deconvolution

Total variation (TV) regularization has proven effective for a range of ...
research
12/06/2013

An Algorithmic Theory of Dependent Regularizers, Part 1: Submodular Structure

We present an exploration of the rich theoretical connections between se...
research
04/07/2022

Total Variation Optimization Layers for Computer Vision

Optimization within a layer of a deep-net has emerged as a new direction...
research
04/08/2021

On and beyond Total Variation regularisation in imaging: the role of space variance

Over the last 30 years a plethora of variational regularisation models f...
research
08/10/2022

Haar Wavelets, Gradients and Approximate TV Regularization

We show how total variation regularization of images in arbitrary dimens...
research
09/14/2012

Hessian Schatten-Norm Regularization for Linear Inverse Problems

We introduce a novel family of invariant, convex, and non-quadratic func...
research
11/20/2020

Edge Adaptive Hybrid Regularization Model For Image Deblurring

A spatially fixed parameter of regularization item for whole images does...

Please sign up or login with your details

Forgot password? Click here to reset