In this paper a construction of C 1 -wavelets on the two-dimensional sphere is presented. First, we focus on the construction of a multiresolution analysis leading to C 1 -functions on S 2 . We show refinability of the constructed tensor product generators. Second, for the wavelet construction we em
Construction of d-Dimensional Hyperoctrees on a Hypercube Multiprocessor
β Scribed by F. Dehne; A. Fabri; M. Nassar; A. Rauchaplin; R. Valiveti
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 541 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0743-7315
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β¦ Synopsis
We present a parallel algorithm for the construction of the hyperoctree representing a (d)-dimensional object from a set of (n) (d - 1)-dimensional hyperoctrees, representing adjacent cross sections of this object. On a (p)-processor SIMD hypercube the time complexity of our algorithm is (O((m / p) \log p \log n)), where (m) is the maximum of input and output size. 1994 Academic Press, Inc.
π SIMILAR VOLUMES
We present an efficient \(\theta(\log N)\) implementation of Batcher's odd-even merge on a SIMD hypercube. (The hypercube model assumes that all communications are restricted to one fixed dimension at a time.) The best previously known implementation of odd-even merge on a SIMD hypercube requires \(
We use a recently found parametrization of the solutions of the inverse Frobenius-Perron problem within the class of complete unimodal maps to develop a Monte Carlo approach for the construction of one-dimensional chaotic dynamical laws with given statistical properties, i.e. invariant density and a