Title
Subpixel stereo disparity for surface reconstruction by utilising a three-dimensional reaction-diffusion system
Abstract
This paper proposes a stereo algorithm utilising a reaction-diffusion system defined in a three-dimensional domain. A previous reaction-diffusion stereo algorithm provides a stereo disparity map by utilising multi-layered reaction-diffusion systems defined in a two-dimensional domain. The previous algorithm assumes that three-dimensional structures of scenes consist of unslanted planar surfaces and approximately describes any slanted or curved surfaces with piecewise unslanted planar surfaces. However, in real scenes there are highly slanted or curved surfaces, which violate the assumption of the previous algorithm and cause inaccurate results of disparity distribution, in particular, with respect to subpixel accuracy. The reaction-diffusion system consists of reaction-diffusion equations, which are described with partial-differential equations and solved with a numerical computation technique such as a finite difference method. Thus, we revise the reaction-diffusion stereo algorithm by utilising a reaction-diffusion system defined in a three-dimensional domain consisting of the two-dimensional domain plus a disparity domain. Discretisation of the disparity domain brings subpixel accuracy and helps the algorithm to detect accurate disparity for slanted or curved surfaces. In addition, this paper proposes a two-stage algorithm for fill-in of disparity undefined areas caused by little image feature. Finally, this paper demonstrates performance of the proposed algorithm for slanted or curved surfaces with the Middlebury stereo vision data-sets.
Year
DOI
Venue
2012
10.1145/2425836.2425868
IVCNZ
Keywords
Field
DocType
three-dimensional domain,stereo algorithm,two-dimensional domain,previous reaction-diffusion stereo algorithm,surface reconstruction,reaction-diffusion system,proposed algorithm,reaction-diffusion stereo algorithm,subpixel stereo disparity,curved surface,three-dimensional reaction-diffusion system,disparity domain,previous algorithm,reaction diffusion
Discretization,Computer vision,Surface reconstruction,Computer science,Stereopsis,Planar,Finite difference method,Artificial intelligence,Subpixel rendering,Piecewise,Computation
Conference
Citations 
PageRank 
References 
1
0.40
2
Authors
6
Name
Order
Citations
PageRank
Atsushi Nomura1417.61
Koichi Okada210.40
Yoshiki Mizukami3648.94
Hidetoshi Miike46812.05
Makoto Ichikawa561.45
Tatsunari Sakurai6223.10