Online model reconstruction for interactive virtual environments
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
A HMM approach to the estimation of random trajectories on manifolds
Signal Processing
Recovering Surfaces from the Restoring Force
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Computer Vision and Image Understanding
3D geometry from uncalibrated images
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
3D shape from unorganized 3d point clouds
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
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We address the problem of automatically reconstructing m-manifolds of unknown topology from unorganized points in metric p-spaces obtained from a noisy measurement process. The point set is first approximated by a collection of oriented primitive fuzzy sets over a range of resolutions. Hierarchical multiresolution representation is then computed based on the relation of relative containment defined on the collection. Finally, manifold structure is recovered by establishing connectivity between these primitives based on proximity, compatibility of position and orientation, and local topological constraints. The method has been successfully applied to the problem of surface reconstruction from polynocular-stereo data with many outliers.