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DCG
2010
84views more  DCG 2010»
15 years 6 months ago
On Lines and Joints
Let L be a set of n lines in Rd , for d 3. A joint of L is a point incident to at least d lines of L, not all in a common hyperplane. Using a very simple algebraic proof techniqu...
Haim Kaplan, Micha Sharir, Eugenii Shustin
164
Voted
ADCM
2006
110views more  ADCM 2006»
15 years 6 months ago
Interpolation on lattices generated by cubic pencils
: Principal lattices are distributions of points in the plane obtained from a triangle by drawing equidistant parallel lines to the sides and taking the intersection points as node...
Jesús M. Carnicer, Mariano Gasca
DCG
2007
79views more  DCG 2007»
15 years 6 months ago
Distance Measures for Well-Distributed Sets
In this paper we investigate the Erd¨os/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We pr...
Alex Iosevich, Michael Rudnev
142
Voted
DAM
1999
88views more  DAM 1999»
15 years 6 months ago
Separable Partitions
An ordered partition of a set of n points in the d dimensional Euclidean space is called a separable partition if the convex hulls of the parts are pairwise disjoint. For each fix...
Noga Alon, Shmuel Onn
ICPR
2006
IEEE
16 years 7 months ago
Fingerprint Reference Point Detection Based on Local Axial Symmetry
Reference point detection is an important process for fingerprint analysis. In this paper, we propose a novel feature which is named local axial symmetry (LAS) and present an algo...
Chao Zhang, Pengwei Hao, Tong Liu