Premium
Multiresolution for Algebraic Curves and Surfaces using Wavelets
Author(s) -
Esteve Jordi,
Brunet Pere,
Vinacua Alvar
Publication year - 2001
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00474
Subject(s) - isosurface , wavelet , tensor product , multiresolution analysis , bounded function , mathematics , spline (mechanical) , algebraic number , computer science , topology (electrical circuits) , pure mathematics , algorithm , mathematical analysis , visualization , wavelet transform , discrete wavelet transform , artificial intelligence , combinatorics , engineering , structural engineering
This paper describes a multiresolution method for implicit curves and surfaces. The method is based on wavelets, and is able to simplify the topology. The implicit curves and surfaces are defined as the zero‐valued piece‐wise algebraic isosurface of a tensor‐product uniform cubic B‐spline. A wavelet multiresolution method that deals with uniform cubic B‐splines on bounded domains is proposed. In order to handle arbitrary domains the proposed algorithm dynamically adds appropriate control points and deletes them in the synthesis phase.