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122
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COMPGEOM
2003
ACM
15 years 8 months ago
Estimating surface normals in noisy point cloud data
In this paper we describe and analyze a method based on local least square fitting for estimating the normals at all sample points of a point cloud data (PCD) set, in the presenc...
Niloy J. Mitra, An Nguyen
181
Voted
COMPGEOM
2010
ACM
15 years 8 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan
COMGEO
2007
ACM
15 years 3 months ago
Geometric dilation of closed planar curves: New lower bounds
Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
125
Voted
CORR
2007
Springer
182views Education» more  CORR 2007»
15 years 3 months ago
Triangulating the Real Projective Plane
We consider the problem of computing a triangulation of the real projective plane P2 , given a finite point set P = {p1, p2, . . . , pn} as input. We prove that a triangulation of...
Mridul Aanjaneya, Monique Teillaud
122
Voted
NPIV
1998
ACM
108views Visualization» more  NPIV 1998»
15 years 7 months ago
Visualization for situation awareness
We explore techniques from visualization and computational geometry to make tactical information more intuitive to a military commander. To be successful, the commander must quick...
C. M. Hoffman, Y.-J. Kim, R. P. Winkler, J. D. Wal...