DocumentCode
821267
Title
Closed-form solutions for lowpass filtering of 3D digital geometry
Author
Lim, I.S. ; Hughes, D. ; John, N.W.
Author_Institution
Sch. of Comput. Sci., Univ. of Wales, Bangor
Volume
43
Issue
9
fYear
2007
Firstpage
503
Lastpage
505
Abstract
Closed-form solutions for lowpass filtering of 3D digital geometry are presented. Conventional signal processing is difficult to apply since 3D digital geometry does not usually satisfy the prerequisites of regular sampling and global parameterisation. Representing digital geometry as a level set of a 3D scalar field fitted with Gaussians and polynomials, derived are closed-form solutions of convolution with Gaussian smoothing kernels and lowpass filtering without the pitfalls of other approaches are analytically achieved
Keywords
Gaussian processes; convolution; curve fitting; image reconstruction; low-pass filters; smoothing methods; 3D digital geometry; 3D scalar field; Gaussian smoothing kernels; closed-form solutions; lowpass filtering;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el:20073942
Filename
4168482
Link To Document