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Form·Z allows design in 3D or in 2D, using numeric or interactive graphic input through either line or smooth shaded drawings ().Modeling features include Boolean solids to generate complex composite objects; the ability to create curved surfaces from splines, including NURBS and Bézier/Coons patches; mechanical and organic forms using the previous as well as metaforms, patches, subdivisions ...
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 ...
In geometric modelling and in computer graphics, a composite Bézier curve or Bézier spline is a spline made out of Bézier curves that is at least continuous. In other words, a composite Bézier curve is a series of Bézier curves joined end to end where the last point of one curve coincides with the starting point of the next curve.
Application Latest release date and version Developer Platforms Main uses License Bryce: 2010-12-23 7.1.0.109 Daz 3D: Windows (32-bit), macOS (10.7 and above) : Animation, landscape modeling, fractal geometry
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. Similar to interpolation in many respects, a key difference is that the surface does not, in general, pass through the central ...
It was devised by Edwin Catmull and Jim Clark in 1978 as a generalization of bi-cubic uniform B-spline surfaces to arbitrary topology. [1] In 2005/06, Edwin Catmull, together with Tony DeRose and Jos Stam, received an Academy Award for Technical Achievement for their invention and application of subdivision surfaces. DeRose wrote about ...
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.
SketchUp is a 3D modeling software that is used to create and manipulate 3D models. It is used in architecture and interior design.. SketchUp is owned by Trimble Inc. The software has a free web-based version, and three paid subscriptions to gain access to applications for Windows and macOS.