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» Polynomial Reproduction in Subdivision
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DAGSTUHL
2008
13 years 10 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»
13 years 8 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»
13 years 8 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»
13 years 3 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
JACM
2000
119views more  JACM 2000»
13 years 8 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