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» Generalizing Halfspaces
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ECCV
2002
Springer
14 years 9 months ago
Principal Component Analysis over Continuous Subspaces and Intersection of Half-Spaces
Abstract. Principal Component Analysis (PCA) is one of the most popular techniques for dimensionality reduction of multivariate data points with application areas covering many bra...
Anat Levin, Amnon Shashua
SMA
2003
ACM
120views Solid Modeling» more  SMA 2003»
14 years 22 days ago
Three-dimensional halfspace constructive solid geometry tree construction from implicit boundary representations
This paper presents a new method to compute constructive solid geometry (CSG) tree representations of an object whose faces consist of planar and non-planar surfaces. The algorith...
Suzanne F. Buchele, Richard H. Crawford
COMPGEOM
2007
ACM
13 years 11 months ago
On approximate halfspace range counting and relative epsilon-approximations
The paper consists of two major parts. In the first part, we re-examine relative -approximations, previously studied in [12, 13, 18, 25], and their relation to certain geometric p...
Boris Aronov, Sariel Har-Peled, Micha Sharir
CCCG
2009
13 years 8 months ago
The Centervertex Theorem for Wedge Depth
There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
Gary L. Miller, Todd Phillips, Donald Sheehy
FOCS
2006
IEEE
14 years 1 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner