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CAD/CAM systems use primarily two types of surfaces: Regular (or canonical) surfaces include surfaces of revolution such as cylinders, cones, spheres, and tori, and ruled surfaces (linear in one direction) such as surfaces of extrusion. Freeform surfaces (usually NURBS) allow more complex shapes to be represented via freeform surface modeling. [1]
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.
The concept of geometrical continuity was primarily applied to the conic sections (and related shapes) by mathematicians such as Leibniz, Kepler, and Poncelet. The concept was an early attempt at describing, through geometry rather than algebra, the concept of continuity as expressed through a parametric function.
The terms parametric continuity (C k) and geometric continuity (G n) were introduced by Brian Barsky, to show that the smoothness of a curve could be measured by removing restrictions on the speed, with which the parameter traces out the curve. [4] [5] [6]
This is a list of computer graphics and descriptive geometry topics, by article name. 2D computer graphics; 2D geometric model; 3D computer graphics; 3D modeling; 3D projection; 3D rendering; A-buffer; Algorithmic art; Aliasing; Alpha compositing; Alpha mapping; Alpha to coverage; Ambient occlusion; Anamorphosis; Anisotropic filtering; Anti ...
Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing curves and surfaces. It offers great flexibility and precision for handling both analytic (defined by common mathematical formulae) and modeled shapes.
However, they usually can model multiple layers (conceptually of ink, paper, or film; opaque, translucent, or transparent—stacked in a specific order. The ordering is usually defined by a single number (the layer's depth, or distance from the viewer). Layered models are sometimes called "2 1 ⁄ 2-D computer graphics". They make it possible ...
Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes . Solid modeling is distinguished within the broader related areas of geometric modeling and computer graphics, such as 3D modeling, by its emphasis on physical fidelity. [1]