Concepts inSmooth meshes for sketch-based freeform modeling
Polygon mesh
A polygon mesh or unstructured grid is a collection of vertices, edges and faces that defines the shape of a polyhedral object in 3D computer graphics and solid modeling. The faces usually consist of triangles, quadrilaterals or other simple convex polygons, since this simplifies rendering, but may also be composed of more general concave polygons, or polygons with holes. The study of polygon meshes is a large sub-field of computer graphics and geometric modeling.
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3D modeling
In 3D computer graphics, 3D modeling is the process of developing a mathematical representation of any three-dimensional surface of object (either inanimate or living) via specialized software. The product is called a 3D model. It can be displayed as a two-dimensional image through a process called 3D rendering or used in a computer simulation of physical phenomena. The model can also be physically created using 3D printing devices. Models may be created automatically or manually.
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Freeform (radio format)
}|USA|2name=the United States|date=September 2009}} Freeform, or freeform radio, is a radio station programming format in which the disc jockey is given total control over what music to play, regardless of music genre or commercial interests. Freeform radio stands in contrast to most commercial radio stations, in which DJs have little or no influence over programming structure or playlists. In the United States, freeform DJs are still bound by Federal Communications Commission regulations.
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Sketch comedy
A sketch comedy consists of a series of short comedy scenes or vignettes, called "sketches," commonly between one and ten minutes long. Such sketches are performed by a group of comic actors or comedians, either on stage or through an audio and/or visual medium such as broadcasting. Often sketches are first improvised by the actors and written down based on the outcome of these improv sessions; however, improvisation is not necessarily involved in all sketch comedy.
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Implicit and explicit functions
The implicit function theorem provides a link between implicit and explicit functions. It states that if the equation R(x, y) = 0 satisfies some mild conditions on its partial derivatives, then one can in principle solve this equation for y, at least over some small interval. Geometrically, the graph defined by R(x,y) = 0 will overlap locally with the graph of an equation y = f(x).
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Vertex (geometry)
In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.
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In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in (D + 1)-dimensional space defined as the locus of zeros of a quadratic polynomial. In coordinates {x1, x2, ... , xD+1}, the general quadric is defined by the algebraic equation which may be compactly written in vector and matrix notation as: where x = {x1, x2, ...
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