Iterative Multigrid Image Deformation Method for PIV

Application of iterative Jacobi method for an anisotropic diusion in image processing

Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image...

A New Iterative Fuzzy-Based Method for Image Enhancement (RESEARCH NOTE)

This paper presents a new filtering approach based on fuzzy-logic which has high performance in mixed noise environments. This filter is mainly based on the idea that each pixel is not allowed to be uniformly fired by each of the fuzzy rules. In the proposed filtering algorithm, the rule membership functions are tuned iteratively in order to preserve the image edges. Several test experiments we...

A hybrid geometric + algebraic multigrid method with semi-iterative smoothers

We propose a multigrid method for solving large-scale sparse linear systems arising from discretizations of partial differential equations, such as those from finite element and generalized finite difference (GFD) methods. Our proposed method has the following two characteristics. First, we introduce a hybrid geometric+algebraic multigrid method, or HyGA, to leverage the rigor, accuracy and eff...

A Multigrid Method for Total Variation-based Image Denoising

Assessment of interpolations for window deformation in PIV

A performance evaluation was presented of interpolations necessary for the window deformation in particle image velocimetry (PIV). As a deformation scheme for the window, the linear transformation was applied. Several interpolation schemes were tested which were usually used in image processing: linear, quadratic, B-spline, cubic, Mitchell & Netravali’s, sinc, Lagrange, and Gaussian interpolati...