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CAD
2005
Springer
15 years 6 months ago
Precise global collision detection in multi-axis NC-machining
We introduce a new approach to the problem of collision detection in multi-axis NC-machining. Due to the directional nature (tool axis) of multi-axis NCmachining, space subdivisio...
Oleg Ilushin, Gershon Elber, Dan Halperin, Ron Wei...
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
15 years 6 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
TMI
2002
115views more  TMI 2002»
15 years 6 months ago
Discretization of the Radon transform and of its inverse by spline convolutions
Abstract--We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths and degrees . We apply our r...
Stefan Horbelt, Michael Liebling, Michael Unser
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
16 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
CSR
2006
Springer
15 years 10 months ago
All Semi-local Longest Common Subsequences in Subquadratic Time
For two strings a, b of lengths m, n respectively, the longest common subsequence (LCS) problem consists in comparing a and b by computing the length of their LCS. In this paper, w...
Alexandre Tiskin