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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2017|
|Event||International Conference on Information Technologies in Business and Industry 2016 - Tomsk, Russian Federation|
Duration: 21 Sep 2016 → 23 Sep 2016
ASJC Scopus subject areas
- Physics and Astronomy(all)