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» Polynomial Reproduction in Subdivision
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ACIVS
2007
Springer
15 years 5 months ago
Polyphase Filter and Polynomial Reproduction Conditions for the Construction of Smooth Bidimensional Multiwavelets
Abstract. To construct a very smooth nonseparable multiscaling function, we impose polynomial approximation order 2 and add new conditions on the polyphase highpass filters. We wo...
Ana M. C. Ruedin
CAGD
2006
78views more  CAGD 2006»
14 years 11 months ago
Stationary subdivision schemes reproducing polynomials
A new class of subdivision schemes is presented. Each scheme in this class is a quasi-interpolatory scheme with a tension parameter, which reproduces polynomials up to a certain d...
Sung Woo Choi, Byung-Gook Lee, Yeon Ju Lee, Jungho...
GMP
2006
IEEE
107views Solid Modeling» more  GMP 2006»
15 years 5 months ago
A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials
We present a new class of non-stationary, interpolatory subdivision schemes that can exactly reconstruct parametric surfaces including exponential polynomials. The subdivision rule...
Yoo-Joo Choi, Yeon Ju Lee, Jungho Yoon, Byung-Gook...
DCG
2006
68views more  DCG 2006»
14 years 11 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
PG
2007
IEEE
15 years 6 months ago
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
We complete and bring together two pairs of surface constructions that use polynomial pieces of degree (3,3) to associate a smooth surface with a mesh. The two pairs complement ea...
Ashish Myles, Kestutis Karciauskas, Jörg Pete...