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This paper develops a simple algorithm for calculating a polynomial curve or surface in a parallel way. The number of arithmetic operations and the necessary time for the calculation are evaluated in terms of polynomial degree and resolution of a curve and the number of processors used. We made some comparisons between our method and a conventional method for generating polynomial curves and surfaces, especially in computation time and approximation error due to the reduction of the polynomial degree. It is shown that our method can perform fast calculation within tolerable error.

- Publication
- IEICE TRANSACTIONS on Information Vol.E85-D No.2 pp.411-417

- Publication Date
- 2002/02/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Computer Graphics

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Hiroshi NAGAHASHI, Mohamed IMINE, "Parallel Computation of Parametric Piecewise Modeling Method" in IEICE TRANSACTIONS on Information,
vol. E85-D, no. 2, pp. 411-417, February 2002, doi: .

Abstract: This paper develops a simple algorithm for calculating a polynomial curve or surface in a parallel way. The number of arithmetic operations and the necessary time for the calculation are evaluated in terms of polynomial degree and resolution of a curve and the number of processors used. We made some comparisons between our method and a conventional method for generating polynomial curves and surfaces, especially in computation time and approximation error due to the reduction of the polynomial degree. It is shown that our method can perform fast calculation within tolerable error.

URL: https://global.ieice.org/en_transactions/information/10.1587/e85-d_2_411/_p

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@ARTICLE{e85-d_2_411,

author={Hiroshi NAGAHASHI, Mohamed IMINE, },

journal={IEICE TRANSACTIONS on Information},

title={Parallel Computation of Parametric Piecewise Modeling Method},

year={2002},

volume={E85-D},

number={2},

pages={411-417},

abstract={This paper develops a simple algorithm for calculating a polynomial curve or surface in a parallel way. The number of arithmetic operations and the necessary time for the calculation are evaluated in terms of polynomial degree and resolution of a curve and the number of processors used. We made some comparisons between our method and a conventional method for generating polynomial curves and surfaces, especially in computation time and approximation error due to the reduction of the polynomial degree. It is shown that our method can perform fast calculation within tolerable error.},

keywords={},

doi={},

ISSN={},

month={February},}

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TY - JOUR

TI - Parallel Computation of Parametric Piecewise Modeling Method

T2 - IEICE TRANSACTIONS on Information

SP - 411

EP - 417

AU - Hiroshi NAGAHASHI

AU - Mohamed IMINE

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Information

SN -

VL - E85-D

IS - 2

JA - IEICE TRANSACTIONS on Information

Y1 - February 2002

AB - This paper develops a simple algorithm for calculating a polynomial curve or surface in a parallel way. The number of arithmetic operations and the necessary time for the calculation are evaluated in terms of polynomial degree and resolution of a curve and the number of processors used. We made some comparisons between our method and a conventional method for generating polynomial curves and surfaces, especially in computation time and approximation error due to the reduction of the polynomial degree. It is shown that our method can perform fast calculation within tolerable error.

ER -