Matrix Newton interpolation and progressive 3D imaging: PC-based computation
type: Item
instance of: scholarly article
title: Matrix Newton interpolation and progressive 3D imaging: PC-based computation
zbMATH Open document ID: 1004.65013
DOI: 10.1016/S0895-7177(01)00167-4
published in: Mathematical and Computer Modelling
publication date: 2002-08-15T00:00:00Z
review text: The paper deals with the progressive transmission of 3D images in 2D slices. The scalar scheme of Newton's divided differences \((x,y)\) is extended to \((x,M)\), where \(M\) is an \(r\times s\) matrix of the pixels of a slice. For efficiency linear interpolation is used and a Mathematica code is given. Two experiments on a 450 MHz Pentium III PC illustrate the method.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 1781891
zbMATH Keywords: Newton interpolation
zbMATH Keywords: 3D imaging
zbMATH Keywords: matrix polynomials
zbMATH Keywords: image processing
zbMATH Keywords: Newton's divided differences
zbMATH Keywords: numerical experiments
zbMATH Keywords: Mathematica code
author: E. Defez
author: A. Law
author: J. Villanueva-Oller
author: R.-J. Villanueva
describes a project that uses: Mathematica
describes a project that uses: VTK
MaRDI profile type: Publication
cites work: Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials
cites work: Matrix cubic splines for progressive 3D imaging
cites work: Q4718428
cites work: Q3359644
cites work: Errata to: Two-sided tangential interpolation of real rational matrix functions
cites work: Q4503103
cites work: Q4397840
cites work: Q5331504
full work available at URL: s0895-7177(01)00167-4
OpenAlex ID: W1992357247
description: scientific article; zbMATH DE number 1781891