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» L-systems in Geometric Modeling
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SMA
2009
ACM
125views Solid Modeling» more  SMA 2009»
14 years 4 months ago
Stable mesh decimation
Current mesh reduction techniques, while numerous, all primarily reduce mesh size by successive element deletion (e.g. edge collapses) with the goal of geometric and topological f...
Chandrajit L. Bajaj, Andrew Gillette, Qin Zhang
KI
2004
Springer
14 years 3 months ago
Shape-Based Robot Mapping
We present a novel geometric model for robot mapping suited for robots equipped with a laser range finder. The geometric representation is based on shape. Cyclic ordered sets of p...
Diedrich Wolter, Longin Jan Latecki, Rolf Lakä...
TASE
2010
IEEE
13 years 5 months ago
Sensor Placement for Triangulation-Based Localization
Robots operating in a workspace can localize themselves by querying nodes of a sensor-network deployed in the same workspace. This paper addresses the problem of computing the min...
Onur Tekdas, Volkan Isler
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
14 years 2 months ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li
CORR
2010
Springer
120views Education» more  CORR 2010»
13 years 10 months ago
Modeling of 2D and 3D Assemblies Taking Into Account Form Errors of Plane Surfaces
The tolerancing process links the virtual and the real worlds. From the former, tolerances define a variational geometrical language (geometric parameters). From the latter, there...
Serge Samper, Pierre-Antoine Adragna, Hugues Favre...