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JC
2008
92views more  JC 2008»
13 years 8 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
DCG
2007
58views more  DCG 2007»
13 years 8 months ago
Harmonic Algebraic Curves and Noncrossing Partitions
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
Jeremy L. Martin, David Savitt, Ted Singer
ICIP
2003
IEEE
14 years 9 months ago
Three-view camera calibration using geometric algebra
In a former work of ours [I], we proposed a new way to express and interpret the epipolar constraint using Geometric Algebra, and we derived from it a novel and efficient2view cam...
Andrea Dell'Acqua, Augusto Sarti, Stefano Tubaro
TISSEC
2002
123views more  TISSEC 2002»
13 years 7 months ago
An algebraic approach to IP traceback
We present a new solution to the problem of determining the path a packet traversed over the Internet (called the traceback problem) during a denial of service attack. Previous so...
Drew Dean, Matthew K. Franklin, Adam Stubblefield
ICRA
2005
IEEE
123views Robotics» more  ICRA 2005»
14 years 1 months ago
Sizing a Serial Chain to Fit a Task Trajectory Using Clifford Algebra Exponentials
— In this paper we formulate the “generalized inverse kinematics problem” for a spatial serial chain, where the goal is to determine values for structural parameters as well ...
A. Perez, J. Michael McCarthy