Paper Info
Title
A Comparative analysis of Green's functions of 1D matching equations for motion synthesis
Abstract
When filtering an input image, the Green's functions of matching equations are capable of inducing a broad class of motions, a property that has led to their use in several computer graphics and computer vision applications. In all such applications, the Green's functions of second-order differential equations have been considered, even though no justification has been given for their preference over simpler, first-order equations. Here we present a study of first-order one-dimensional matching equations, both in the uniform and in the affine motion models. Comparing their Green's functions with those of the corresponding second-order cases, we find evidence for the latter's superiority in motion synthesis. We also propose and discuss a general discretization scheme for Green's functions of one-dimensional matching equations, showing that the affine motion model is particularly sensitive to the sampling frequency. In this case, we advocate the use of area sampling, for allowing realistic motion simulations.
Year
DOI
Venue
2009
10.1016/j.patrec.2009.06.003
Pattern Recognition Letters
Keywords
Field
DocType
comparative analysis,motion synthesis,corresponding second-order case,first-order one-dimensional,1d matching equations,green’s functions,affine motion model,one-dimensional matching equation,area sampling,realistic motion simulation,computer vision application,first-order equation,computer graphics,first order,second order,sampling frequency,computer vision,computer graphic
Discretization,Differential equation,Green's function,Algorithm,Filter (signal processing),Image processing,Sampling (statistics),Equations of motion,Computer graphics,Mathematics
Journal
Volume
Issue
ISSN
30
14
Pattern Recognition Letters
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Perfilino E. Ferreira Júnior100.34
José R. A. Torreão25910.18
Paulo C. P. Carvalho331.51