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» Polynomial Reproduction in Subdivision
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DAGSTUHL
2008
15 years 1 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
VC
2008
102views more  VC 2008»
14 years 11 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
CAGD
2002
87views more  CAGD 2002»
14 years 11 months ago
Uniform hyperbolic polynomial B-spline curves
This paper presents a new kind of uniform splines, called hyperbolic polynomial B-splines, generated over the space = span{sinht,cosht,tk-3,tk-4,...,t,1} in which k is an arbitra...
Yonggang Lü, Guozhao Wang, Xunnian Yang
SIAMMA
2010
90views more  SIAMMA 2010»
14 years 6 months ago
A General Proximity Analysis of Nonlinear Subdivision Schemes
In recent work nonlinear subdivision schemes which operate on manifold-valued data have been successfully analyzed with the aid of so-called proximity conditions bounding the diffe...
Philipp Grohs
78
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JACM
2000
119views more  JACM 2000»
14 years 11 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris