On automatic tuning of basis functions in Bezier method

V. I. Reizlin, A. Y. Demin, S. V. Rybushkina, M. F. Sultanguzin

Research output: Contribution to journalConference articlepeer-review


A transition from the fixed basis in Bezier's method to some class of base functions is proposed. A parameter vector of a basis function is introduced as additional information. This achieves a more universal form of presentation and analytical description of geometric objects as compared to the non-uniform rational B-splines (NURBS). This enables control of basis function parameters including control points, their weights and node vectors. This approach can be useful at the final stage of constructing and especially local modification of compound curves and surfaces with required differential and shape properties; it also simplifies solution of geometric problems. In particular, a simple elimination of discontinuities along local spline curves due to automatic tuning of basis functions is demonstrated.

Original languageEnglish
Article number012126
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2017
EventInternational Conference on Information Technologies in Business and Industry 2016 - Tomsk, Russian Federation
Duration: 21 Sep 201623 Sep 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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