# tessellation

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## 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.

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 ?
For d = 2, the density of the Euler characteristic was estimated from 50 realisations of a stationary Poisson-Voronoi tessellation with intensity [lambda] = 1 in a square with edge length 40.
The "Mosaics/Tilings" area gave students ideas for creating and modifying tessellations. They were especially interested in the examples of tessellations in this section.
This is the case when the cells of the tessellation are not face-to-face, see Schneider and Weil (2008, p.
The novelty of the submitted work in relation to [19] is that we apply a higher-order Voronoi tessellation differently from [19] to solve the indoor localization problem.
A Voronoi tessellation, or Voronoi diagram, partitions a space into a set of mutually exclusive regions, with a number of given seeds.
To characterize the choroid and to evaluate early tessellation changes in myopic chorioretinopathy, we quantitatively assess the retinal thickness and choroidal thickness using EDI-OCT in highly myopic eyes with normal visual acuity.
For this approach, the optimal tessellation of a given system deployment is estimated over a long period, and the cell-specific bias values are determined infrequently to form cell coverage that is as similar to the optimal tessellation as possible in an LTE-A HCN.
Delaunay tessellation was applied to the three-dimensional (3D) atomic coordinates of each protein chain, whereby atoms were treated as vertices to generate a convex hull encompassing thousands of space-filling, nonoverlapping, irregular tetrahedra (Figure 1).
Students would create their original drawing or design on the first triangular design, and then would trace that original onto the other two identical designs that would build the tessellation into a star.
This article discusses how to use and implement tessellation in OpenGL ES 3.0 on Android.
The students started by creating tessellations using single shapes (Figure 3) and then, inspired by Escher drawings and a video explaining how to create the flying horse tessellation, modified a square into their own unique shape that tessellates.
A CNC router cuts away grooves in both sides of the laminate, to create what Masotti calls "digital hinges." When cut into a tessellation of polygonal shapes, functioning joints that can be bent at up to 130-degree angles allow what began as a flat plane to be manipulated into complex, multifaceted forms.

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