Optimized refinable enclosures of multivariate polynomial pieces
نویسندگان
چکیده
منابع مشابه
Optimized refinable enclosures of multivariate polynomial pieces
An enclosure is a two-sided approximation of a unior multivariate function by a pair of typically simpler functions such that over the domain of interest. Enclosures are optimized by minimizing the width and refined by enlarging the space . This paper develops a framework for efficiently computing enclosures for multivariate polynomials and, in particular, derives piecewise bilinear enclosures ...
متن کاملOptimized Refinable Surface Enclosures
An enclosure of a composite spline surface is a pair of simpler approximations that sandwich the surface. In particular, we are interested in efficiently constructing two triangulations, so that matched triangle pairs enclose a piece of the curved surface. The width of the enclosure, i,e. the distance between inner and outer hull, can be easily measured, because it is taken on at a vertex. Encl...
متن کاملPolynomial functions are refinable
The scope of refinable functions in wavelet theory is focused to localized functions. In our paper we like to widen that scope, in particular we show that all polynomial functions are refinable. This may yield an interesting notion of convolution of polynomials.
متن کاملMultivariate refinable Hermite interpolant
We introduce a general definition of refinable Hermite interpolants and investigate their general properties. We also study a notion of symmetry of these refinable interpolants. Results and ideas from the extensive theory of general refinement equations are applied to obtain results on refinable Hermite interpolants. The theory developed here is constructive and yields an easyto-use constructio...
متن کاملMultivariate Refinable Hermite Interpolants
We introduce a general definition of refinable Hermite interpolants and investigate their general properties. We study also a notion of symmetry of these refinable interpolants. Results and ideas from the extensive theory of general refinement equations are applied to obtain results on refinable Hermite interpolants. The theory developed here is constructive and yields an easy-to-use constructi...
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: Computer Aided Geometric Design
سال: 2001
ISSN: 0167-8396
DOI: 10.1016/s0167-8396(01)00067-x