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FOCS
2006
IEEE
14 years 5 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
AFPAC
2000
Springer
257views Mathematics» more  AFPAC 2000»
14 years 3 months ago
The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra
In signal processing, the approach of the analytic signal is a capable and often used method. For signals of finite length, quadrature filters yield a bandpass filtered approxim...
Michael Felsberg, Gerald Sommer
ECCV
2006
Springer
15 years 23 days ago
Geometry and Kinematics with Uncertain Data
Abstract. In Computer Vision applications, one usually has to work with uncertain data. It is therefore important to be able to deal with uncertain geometry and uncertain transform...
Christian Perwass, Christian Gebken, Gerald Sommer
AAECC
1998
Springer
167views Algorithms» more  AAECC 1998»
13 years 10 months ago
Generalized Bezout Identity
We describe a new approach of the generalized Bezout identity for linear time-varying ordinary differential control systems. We also explain when and how it can be extended to line...
J. F. Pommaret, Alban Quadrat