On the analysis of p3-subdivision schemes
نویسنده
چکیده
The paper deals with the theoretical investigation of p 3?subdivision schemes in the shift-invariant setting. In Section 2 we collect the available theory on reen-able functions (subdivision surfaces), with emphasis on their Sobolev and HH older smoothness. There we also discuss the computational tools and Matlab routines used for numerically estimating smoothness exponents. Families of interpolatory and approximating p 3?subdivision schemes are investigated in Section 3. Some face-based p 3?subdivision schemes which are related to vector-valued reenable functions are also analyzed.
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تاریخ انتشار 2001