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» Polynomial Reproduction in Subdivision
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ACIVS
2007
Springer
14 years 10 hour 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»
13 years 5 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»
13 years 12 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»
13 years 5 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
14 years 3 days 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...