Title
Motion synthesis through 1D affine matching
Abstract
We present the study of a data-driven motion synthesis approach based on a 1D affine image-matching equation. We start by deriving the relevant properties of the exact matching operator, such as the existence of a singular point. Next, we approximate such operator by the Green’s function of a second-order differential equation, finding that it leads to a more compelling motion impression, due to the incorporation of blur. We then proceed to show that, by judicious choice of the matching parameters, the 1D affine Green’s filter allows the simulation of a broad class of effects, such as zoom-in and zoom-out, and of complex nonrigid motions such as that of a pulsating heart.
Year
DOI
Venue
2008
10.1007/s10044-007-0078-6
Pattern Anal. Appl.
Keywords
Field
DocType
judicious choice,affine matching,data-driven motion synthesis approach,compelling motion impression,matching parameter,exact matching operator,motion synthesismatching equation � green's functions,complex nonrigid,second-order differential equation,affine green,broad class,affine image-matching equation,singular point
Affine transformation,Affine shape adaptation,Singular point of a curve,Differential equation,Green's function,Affine combination,Mathematical analysis,Affine coordinate system,Affine geometry of curves,Mathematics
Journal
Volume
Issue
ISSN
11
1
1433-755X
Citations 
PageRank 
References 
3
0.40
21
Authors
4