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  2. Bézier surface - Wikipedia

    en.wikipedia.org/wiki/Bézier_surface

    As with Bézier curves, a Bézier surface is defined by a set of control points. Similar to interpolation in many respects, a key difference is that the surface does not, in general, pass through the central control points; rather, it is "stretched" toward them as though each were an attractive force.

  3. 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.

  4. File:Bézier surface example.svg - Wikipedia

    en.wikipedia.org/wiki/File:Bézier_surface...

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses ...

  5. 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 ...

  6. Bézier triangle - Wikipedia

    en.wikipedia.org/wiki/Bézier_triangle

    An example Bézier triangle with control points marked. A cubic Bézier triangle is a surface with the equation (,,) = (+ +) = + + + + + + + + +where α 3, β 3, γ 3, α 2 β, αβ 2, β 2 γ, βγ 2, αγ 2, α 2 γ and αβγ are the control points of the triangle and s, t, u (with 0 ≤ s, t, u ≤ 1 and s + t + u = 1) are the barycentric coordinates inside the triangle.

  7. Boundary representation - Wikipedia

    en.wikipedia.org/wiki/Boundary_representation

    Boundary representation has also been extended to allow special, non-solid model types called non-manifold models. As described by Braid, normal solids found in nature have the property that, at every point on the boundary, a small enough sphere around the point is divided into two pieces, one inside and one outside the object.

  8. Paul de Casteljau - Wikipedia

    en.wikipedia.org/wiki/Paul_de_Casteljau

    Paul de Casteljau (19 November 1930 – 24 March 2022) was a French physicist and mathematician. In 1959, while working at Citroën, he developed an algorithm for evaluating calculations on a certain family of curves, which would later be formalized and popularized by engineer Pierre Bézier, leading to the curves widely known as Bézier curves.

  9. Remix 3D - Wikipedia

    en.wikipedia.org/wiki/Remix_3D

    Remix 3D was released first to Windows Insiders and then as part of the Windows 10 Fall Creators Update, alongside Paint 3D. [3] The service also directly integrated with and/or supported 3D Viewer, as well as Paint 3D, SketchUp , Minecraft , and PowerPoint .