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COMPGEOM
2007
ACM
14 years 2 months ago
Manifold reconstruction in arbitrary dimensions using witness complexes
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
COMPGEOM
2010
ACM
14 years 2 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
COMPGEOM
2008
ACM
14 years 18 days ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
COMGEO
2007
ACM
13 years 10 months ago
An incremental algorithm for reconstruction of surfaces of arbitrary codimension
A new algorithm is presented for surface reconstruction from unorganized points. Unlike many previous algorithms, this algorithm does not select a subcomplex of the Delaunay Trian...
Daniel Freedman
ICRA
2010
IEEE
111views Robotics» more  ICRA 2010»
13 years 9 months ago
Visual path following on a manifold in unstructured three-dimensional terrain
— This paper describes the design and testing of a technique to enable long-range autonomous navigation using a stereo camera as the only sensor. During a learning phase, the rov...
Paul Timothy Furgale, Timothy D. Barfoot