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» Computational geometry: a retrospective
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COMPGEOM
2010
ACM
16 years 7 days ago
Optimal partition trees
We revisit one of the most fundamental classes of data structure problems in computational geometry: range searching. Back in SoCG’92, Matouˇsek gave a partition tree method fo...
Timothy M. Chan
SIGGRAPH
1997
ACM
15 years 11 months ago
Interactive update of global illumination using a line-space hierarchy
Interactively manipulating the geometry of complex, globally illuminated scenes has to date proven an elusive goal. Previous attempts have failed to provide interactive updates of...
George Drettakis, François X. Sillion
COMPGEOM
2006
ACM
15 years 11 months ago
I/O-efficient batched union-find and its applications to terrain analysis
Despite extensive study over the last four decades and numerous applications, no I/O-efficient algorithm is known for the union-find problem. In this paper we present an I/O-effic...
Pankaj K. Agarwal, Lars Arge, Ke Yi
COMPGEOM
1987
ACM
15 years 10 months ago
Polygon Properties Calculated from the Vertex Neighborhoods
Calculating properties of polyhedra given only the set of the locations and neighborhoods of the vertices is easy. Possible properties include volume, surface area, and point cont...
Wm. Randolph Franklin
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
15 years 8 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu