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  2. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    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 ...

  3. Bézier surface - Wikipedia

    en.wikipedia.org/wiki/Bézier_surface

    The geometry of a single bicubic patch is thus completely defined by a set of 16 control points. These are typically linked up to form a B-spline surface in a similar way as Bézier curves are linked up to form a B-spline curve. Simpler Bézier surfaces are formed from biquadratic patches (m = n = 2), or Bézier triangles.

  4. De Casteljau's algorithm - Wikipedia

    en.wikipedia.org/wiki/De_Casteljau's_algorithm

    In the mathematical field of numerical analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier curves, named after its inventor Paul de Casteljau. De Casteljau's algorithm can also be used to split a single Bézier curve into two Bézier curves at an arbitrary parameter value.

  5. Wikipedia:WikiProject Electronics/Programs - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:WikiProject...

    3D images and effects available. ... Free version has limited simulation capability (not applicable for drawing schematics). ... Bezier curves are useful for drawing ...

  6. Homogeneous coordinates - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_coordinates

    Rational Bézier curve – polynomial curve defined in homogeneous coordinates (blue) and its projection on plane – rational curve (red) In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul, [1] [2] [3] are a system of coordinates used in projective geometry, just as Cartesian coordinates are used ...

  7. List of 3D modeling software - Wikipedia

    en.wikipedia.org/wiki/List_of_3D_modeling_software

    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.

  8. SolveSpace - Wikipedia

    en.wikipedia.org/wiki/SolveSpace

    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.

  9. Geometric design - Wikipedia

    en.wikipedia.org/wiki/Geometric_design

    3D curves — Example 01 3D curves — Example 02. Geometrical design (GD) is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes [1] and is closely related to geometric modeling. Core problems are curve and surface modelling and representation.