Title
A survey of partial differential equations in geometric design
Abstract
Computer-aided geometric design is an area where the improvement of surface generation techniques is an everlasting demand, since faster and more accurate geometric models are required. Traditional methods for generating surfaces were initially mainly based upon interpolation algorithms. Recently, partial differential equations (PDE) were introduced as a valuable tool for geometric modelling, since they offer a number of features from which these areas can benefit. This work summarizes the uses given to PDE surfaces as a surface generation technique together with some other applications to computer graphics.
Year
DOI
Venue
2008
10.1007/s00371-007-0190-z
The Visual Computer
Keywords
Field
DocType
traditional method,surface generation technique,interpolation algorithm,partial differential equation,computer-aided geometric design,pde surfaces · geometric modelling · pde method,computer graphics,pde surface,geometric modelling,everlasting demand,accurate geometric model,geometric model,computer graphic,pde surfaces
Mathematical optimization,Computer science,Geometric modeling kernel,Geometric analysis,Interpolation,Geometric design,PDE surface,Computer graphics,Partial differential equation
Journal
Volume
Issue
ISSN
24
3
1432-2315
Citations 
PageRank 
References 
6
0.51
35
Authors
4
Name
Order
Citations
PageRank
Gabriela González Castro1194.00
Hassan Ugail224636.26
Philip Willis314015.47
Ian Palmer460.51