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These are generalizations of the x and y Cartesian coordinate lines in the plane coordinate system and of the meridians and circles of latitude on a spherical coordinate system. Open surfaces are not closed in either direction. This means moving in any direction along the surface will cause an observer to hit the edge of the surface.
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 .
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 ...
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 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]
In the computer science subfields of computer-aided design and computer graphics, the term spline more frequently refers to a piecewise polynomial curve. Splines are popular curves in these subfields because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through ...
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes. The shapes studied in geometric modeling are mostly two- or three- dimensional ( solid figures ), although many of its tools and principles can be applied to sets of any finite dimension.
A device called the Geometry Engine developed by Jim Clark and Marc Hannah at Stanford University in about 1981 was the watershed for what has since become an increasingly commoditized function in contemporary image-synthetic raster display systems. [1] [2] Geometric transformations are applied to the vertices of polygons, or other geometric ...