Interpolating B´ezier spline surfaces with local control
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2018-02-12 09:22
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004.92+004.94 (1)
Application-oriented computer-based techniques (438)
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POBEGAILO, A.. Interpolating B´ezier spline surfaces with local control. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 51-62. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Interpolating B´ezier spline surfaces with local control

CZU: 004.92+004.94
MSC 2010: 65D05, 65D07, 65D17.

Pag. 51-62

Pobegailo A.
 
Belarusian State University
 
 
Disponibil în IBN: 10 februarie 2018


Rezumat

This paper presents an approach to construct interpolating spline surfaces over a bivariate network of curves with rectangular patches. Patches of the interpolating spline surface are constructed by means of blending their boundaries with special polynomials. In order to ensure a necessary parametric continuity of the designed surface the polynomials of the corresponding degree are used. The constructed interpolating spline surfaces have local shape control. If the surface frame is determined by means of B´ezier curves then patches of the interpolating spline surface are B´ezier surfaces.

Cuvinte-cheie
Blending parametric curves, interpolating surfaces, spline surfaces, B´ezier surfaces.