Design of zero-phase recursive 2-D variable filters with quadrantal symmetries
type: Item
instance of: scholarly article
title: Design of zero-phase recursive 2-D variable filters with quadrantal symmetries
zbMATH Open document ID: 0827.94002
DOI: 10.1007/BF00981568
author: Tian-Bo Deng
author: Takashi Soma
published in: Multidimensional Systems and Signal Processing
publication date: 1995-05-22T00:00:00Z
review text: Samples taken at scattered points of a finite support two-dimensional signal can be interpolated to recover an approximation of the original signal. Given a number of samples, where should they be placed to enable a most accurate reconstruction? In this paper the authors introduce search schemes that provide good candidates for the solution to these problems, for digital signals. Natural neighbour interpolation is used in an iterative sample removal and movement process to obtain sparse sample patterns. For pictures and digital elevation models, fewer samples are required if the interpolation is only continuous at the data sites, then if it is continuous with derivatives. Retained samples lies on rigdes and valleys of the Laplacian.
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 749752
zbMATH Keywords: sampling
zbMATH Keywords: interpolation
zbMATH Keywords: scattered samples
reviewed by: S. F. Krendelev
MaRDI profile type: Publication
cites work: A decomposition theorem and its implications to the design and realization of two-dimensional filters
cites work: A novel nonnegative decomposition method and its application to 2-D digital filter design
full work available at URL: https://doi.org/10.1007/bf00981568
OpenAlex ID: W2073772875
description: scientific article; zbMATH DE number 749752