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» Polynomial frames on the sphere
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MP
2010
172views more  MP 2010»
13 years 6 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
ADCM
2010
95views more  ADCM 2010»
13 years 7 months ago
Pairs of oblique duals in spaces of periodic functions
Abstract. We construct non-tight frames in finite-dimensional spaces consisting of periodic functions. In order for these frames to be useful in practice one needs to calculate a d...
Ole Christensen, Say Song Goh
DCG
1999
58views more  DCG 1999»
13 years 7 months ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova
ICRA
2009
IEEE
106views Robotics» more  ICRA 2009»
14 years 2 months ago
Oriented bounding surfaces with at most six common normals
— We present a new type of oriented bounding surfaces, which is particularly well suited for shortest distance computations. The bounding surfaces are obtained by considering sur...
Margot Rabl, Laureano González-Vega, Bert J...
PG
2000
IEEE
13 years 12 months ago
Interpolating and Approximating Moving Frames Using B-splines
The representation of moving geometry entities is an important issue in the fields of CAD/CAM and robotics motion design. We present a method to interpolate the moving frame homog...
Lizhuang Ma, Tony K. Y. Chan, Zhongding Jiang