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The mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50 years later when mathematician Paul de Casteljau in 1959 developed de Casteljau's algorithm, a numerically stable method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker Citroën ...
Modern vector graphics and computer font systems like PostScript, Asymptote, Metafont, OpenType, and SVG use composite Bézier curves composed of cubic Bézier curves (3rd order curves) for drawing curved shapes. Sinc function approximated using a smooth Bézier spline, i.e., a series of smoothly-joined Bézier curves
Bézier surfaces are a species of mathematical spline used in computer graphics, computer-aided design, and finite element modeling. As with Bézier curves, a Bézier surface is defined by a set of control points.
Following is a list of notable software, computer programs, used to develop a mathematical representation of any three dimensional surface of objects, as 3D computer graphics, also called 3D modeling.
Cubic Hermite spline. Centripetal Catmull–Rom spline — special case of cubic Hermite splines without self-intersections or cusps; Monotone cubic interpolation; Hermite spline; Bézier curve. De Casteljau's algorithm; composite Bézier curve; Generalizations to more dimensions: Bézier triangle — maps a triangle to R 3; Bézier surface ...
SolveSpace is a free and open-source 2D/3D constraint-based parametric computer-aided design (CAD) software that supports basic 2D and 3D constructive solid geometry modeling. It is a constraint-based parametric modeler with simple mechanical simulation capabilities. Version 2.1 and onward runs on Windows, Linux and macOS.
List of software for Monte Carlo molecular modeling; Comparison of software for molecular mechanics modeling; Molecular design software; Molecule editor; Molecular modeling on GPUs; List of software for nanostructures modeling; Semi-empirical quantum chemistry method; Computational chemical methods in solid-state physics, with periodic boundary ...
Finite element software for structural, fluid, heat transfer, electromagnetic, and multiphysics problems, including fluid-structure interaction and thermo-mechanical coupling: Adina R&D: Proprietary commercial software: Autodesk Simulation: Finite Element software of Autodesk: Autodesk: Proprietary commercial software: Windows: ANSYS