𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Construction of d-Dimensional Hyperoctrees on a Hypercube Multiprocessor

✍ 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

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


A Construction of C1-Wavelets on the Two
✍ Ilona Weinreich πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 204 KB

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

An Efficient Implementation of Batcherβ€²s
✍ D. Nassimi; Y.D. Tsai πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 469 KB

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 \(

A stochastic approach to the constructio
✍ F.K. Diakonos; D. Pingel; P. Schmelcher πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 142 KB

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