The Euler binary partition function and subdivision schemes
نویسندگان
چکیده
منابع مشابه
Stationary binary subdivision schemes using radial basis function interpolation
A new family of interpolatory stationary subdivision schemes is introduced by using radial basis function interpolation. This work extends earlier studies on interpolatory stationary subdivision schemes in two aspects. First, it provides a wider class of interpolatory schemes; each 2L-point interpolatory scheme has the freedom of choosing a degree (say, m) of polynomial reproducing. Depending o...
متن کاملSparse Filter Banks for Binary Subdivision Schemes
Schemes Joe Warren Rice University Abstract Multi-resolution analysis (MRA) produces a hierarchical basis for representing functions. This basis can be used to improve the e ciency of many algorithms for computing with those functions. Traditionally, these basis functions are translates and dilates of a single function. In this paper, we outline a generalization of MRA to those functions de ned...
متن کاملComplex Eigenvalues for Binary Subdivision Schemes
Convergence properties of binary stationary subdivision schemes for curves have been analyzed using the techniques of z-transforms and eigenanalysis. Eigenanalysis provides a way to determine derivative continuity at specific points based on the eigenvalues of a finite matrix. None of the well-known subdivision schemes for curves have complex eigenvalues. We prove when a convergent scheme with ...
متن کاملBinary Subdivision Schemes for Functionsover Irregular Knot
For a wide class of stationary subdivision methods, we derive necessary and suucient conditions for these schemes to produce C k continuous limit curves. These stationary schemes include those arising from midpoint subdivision of irregularly-spaced knot sequences. We also describe a matrix method for computing various derivative schemes associated with such stationary schemes. x1. Introduction ...
متن کاملBinary Subdivision Schemes for Functions over Irregular Knot Sequences
For a wide class of stationary subdivision methods, we derive necessary and suucient conditions for these schemes to produce C k continuous limit curves. These stationary schemes include those arising from midpoint subdivision of irregularly-spaced knot sequences. We also describe a matrix method for computing various derivative schemes associated with such stationary schemes. x1. Introduction ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2016
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3128