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» Proof and Computation in Geometry
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SIGGRAPH
2010
ACM
15 years 10 months ago
Discrete scale axis representations for 3D geometry
This paper addresses the fundamental problem of computing stable medial representations of 3D shapes. We propose a spatially adaptive classification of geometric features that yi...
Balint Miklos, Joachim Giesen, Mark Pauly
COMPGEOM
2006
ACM
16 years 9 days ago
Vines and vineyards by updating persistence in linear time
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...
COMPGEOM
2003
ACM
15 years 11 months ago
Molecular shape analysis based upon the morse-smale complex and the connolly function
Docking is the process by which two or several molecules form a complex. Docking involves the geometry of the molecular surfaces, as well as chemical and energetical consideration...
Frédéric Cazals, Frédé...
ICCV
2003
IEEE
16 years 8 months ago
Circular Motion Geometry by Minimal 2 Points in 4 Images
This paper describes a new and simple method of recovering the geometry of uncalibrated circular motion or single axis motion using a minimal data set of 2 points in 4 images. Thi...
Guang Jiang, Long Quan, Hung-Tat Tsui
ICPR
2008
IEEE
16 years 24 days ago
Detection of the intersection lines in multiplanar environments: Application to real-time estimation of the camera-scene geometr
This paper describes an integrated system for building a multiplanar model of the scene as the camera is localized on the fly. The core of this system is a robust and accurate pr...
Gilles Simon, Marie-Odile Berger