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004.92+004.94 (1) |
Application-oriented computer-based techniques (438) |
SM ISO690:2012 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 | ||||||
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CZU: 004.92+004.94 | ||||||
MSC 2010: 65D05, 65D07, 65D17. | ||||||
Pag. 51-62 | ||||||
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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. |
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Cuvinte-cheie Blending parametric curves, interpolating surfaces, spline surfaces, B´ezier surfaces. |
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