tesselation


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tesselation

[‚tes·ə′lā·shən]
(mathematics)
A covering of a plane without gaps or overlappings by polygons, all of which have the same size and shape.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

tessellation

In surface modeling and solid modeling, the method used to represent 3D objects as a collection of triangles or other polygons. All surfaces, both curved and straight, are turned into triangles either at the time they are first created or in real time when they are rendered. The more triangles used to represent a surface, the more realistic the rendering, but the more computation is required.

Triangles Can Be Discarded
Depending on the object's distance from the camera, triangles may be discarded at the time they are rendered. Some applications create multiple models with different amounts of triangles and use the best one depending on distance. The vertices (end points) of the triangles are assigned X-Y-Z and RGB values, which are used to compute light reflections for shading and rendering.

For 3D Only
Tessellation is not used in 2D graphics. Although 2D graphics may be used to draw 3D objects, any simulation of depth and shading must be created by the artist using standard drawing tools, color fills and gradients. See surface normal, triangle and graphics pipeline.
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References in periodicals archive ?
Thinning algorithm time performances (defined over rectangular tesselations) are usually affected by the orientation of the object to be thinned.
The first section gives a clear explanation of principles: proportion, the geometries of natural forms, traditional patterns and tesselations, and fundamentals of designing islimi (arabesque) and calligraphy.
He will be playing music from his album Tesselations for Lutheal Piano.
These are two four-sided polygons that tile the plane only in a nonperiodic way, that is, without a fundamental region that repeats periodically like the hexagonal tiling of a bathroom floor, or the amazing tesselations of the Dutch artist M.
Penrose Tilings and Tesselations, Storytelling with Video, Family Treasures, and forming a Travel Agency.
This easy-to-read book, beautifully illustrated with colorful designs and appealing instructional diagrams, explains all about tesselations. It begins with a history of tessellated patterns from Middle-Eastern floor designs to American quilts.
Lalley, Renewal theorems in symbolic dynamics, with applications to geodesic flows, non-euclidean tesselations and their fractal limits, Acta Math.
Ringler, 2012: A multiscale nonhydrostatic atmospheric model using centroidal voronoi tesselations and C-grid staggering.
with [tau] being the lattice parameter for the plane associated with forming the tesselations of the toroidal Riemann surface.
Model images of banded microstructures have been created with Voronoi tesselations, in order to test the efficiency of the analysis procedures without interfering with the problems of experimental part.