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GMP
2006
IEEE

A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials

14 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 rules in our scheme are interpolatory and are obtained using the property of reproducing exponential polynomials which constitute a shift-invariant space. It enables our scheme to exactly reproduce rotational features in surfaces which have trigonometric polynomials in their parametric equations. And the mask of our scheme converges to that of the polynomial-based scheme, so that the analytical smoothness of our scheme can be inferred from the smoothness of the polynomial based scheme.
Yoo-Joo Choi, Yeon Ju Lee, Jungho Yoon, Byung-Gook
Added 11 Jun 2010
Updated 11 Jun 2010
Type Conference
Year 2006
Where GMP
Authors Yoo-Joo Choi, Yeon Ju Lee, Jungho Yoon, Byung-Gook Lee, Young J. Kim
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