Authors:
Nils Einecke
1
;
Sven Rebhan
1
;
Julian Eggert
1
and
Volker Willert
2
Affiliations:
1
Honda Research Institute Europe, Germany
;
2
TU Darmstadt, Germany
Keyword(s):
Stereo, Model fitting, Surface estimation, 3-D perception.
Related
Ontology
Subjects/Areas/Topics:
Applications
;
Computer Vision, Visualization and Computer Graphics
;
Geometry and Modeling
;
Image and Video Analysis
;
Image-Based Modeling
;
Motion, Tracking and Stereo Vision
;
Pattern Recognition
;
Software Engineering
;
Stereo Vision and Structure from Motion
;
Surface Geometry and Shape
Abstract:
In this paper, we propose a new method for
estimating the shape of a surface from visual input. Assuming a parametric model
of a surface, the parameters best explaining the perspective changes of the
surface between different views are estimated. This is in contrast to the usual
approach of fitting a model into a 3-D point cloud, generated by some previously
calculated local correspondence matching method. The main ingredients of our
approach are formulas for a perspective mapping of parametric 3-D surface models
between different camera views. Model parameters are estimated using the
Hooke-Jeeves optimization method, which works without the derivative of the
objective function. We demonstrate our approach with models of a plane, a sphere
and a cylinder and show that the parameters are accurately estimated.