Paper Info
Title
New algorithms for fixed and elastic geometric transformation models
Abstract
This paper describes a new approach that leads to the discovery of substitutions or approximations for physical transformation by fixed and elastic geometric transformation models. These substitutions and approximations can simplify the solution of normalization and generation of shapes in signal processing, image processing, computer vision, computer graphics, and pattern recognition. In this paper, several new algorithms for fixed geometric transformation models such as bilinear, quadratic, bi-quadratic, cubic, and bi-cubic are presented based on the finite element theory. To tackle more general and more complicated problems, elastic geometric transformation models including Coons, harmonic, and general elastic models are discussed. Several useful algorithms are also presented in this paper. The performance of the proposed approach has been evaluated by a series of experiments with interesting results.
Year
DOI
Venue
1994
10.1109/83.298392
Image Processing, IEEE Transactions  
Keywords
Field
DocType
computational geometry,computer graphics,computer vision,image processing,pattern recognition,signal processing,algorithms,approximations,bi-cubic model,bi-quadratic model,bilinear model,computer graphics,computer vision,cubic model,elastic geometric transformation models,finite element theory,fixed geometric transformation models,harmonic model,image processing,pattern recognition,physical transformation,quadratic model,shape generation,shape normalization,signal processing,substitutions
Computer vision,Signal processing,Normalization (statistics),Computer science,Computational geometry,Image processing,Quadratic equation,Algorithm,Geometric transformation,Artificial intelligence,Computer graphics,Bilinear interpolation
Journal
Volume
Issue
ISSN
3
4
1057-7149
Citations 
PageRank 
References 
3
0.44
8
Authors
2
Name
Order
Citations
PageRank
Y. Y. Tang1416165.12
Suen, C.Y.2627107.95