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GIS
2010
ACM
13 years 5 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank
SIGGRAPH
2010
ACM
14 years 6 days ago
Feature-aligned T-meshes
High-order and regularly sampled surface representations are more efficient and compact than general meshes and considerably simplify many geometric modeling and processing algor...
Ashish Myles, Nico Pietroni, Denis Kovacs, Denis Z...
ICASSP
2011
IEEE
12 years 11 months ago
Guaranteed error correction based on Fourier Compressive Sensing and Projective Geometry
The sparse error correction is intimately related to Compressive Sensing. Exploiting this connection, the paper proposes an error correction scheme pivoted on partial Fourier matr...
B. S. Adiga, M. Girish Chandra, Shreeniwas Sapre
JMLR
2012
11 years 10 months ago
Minimax rates for homology inference
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sh...
EJC
2007
13 years 7 months ago
Partial linear spaces built on hexagons
3 We define four families of geometries with as point graph the graph — or its complement — of all elliptic 4 hyperplanes of a given parabolic quadric in any finite 6-dimensi...
Alice Devillers, Hendrik Van Maldeghem