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Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely related to the concept of metamodeling , with applications in all areas of mathematical modelling .
The convex hull of a simple polygon is divided by the polygon into pieces, one of which is the polygon itself and the rest are pockets bounded by a piece of the polygon boundary and a single hull edge. Although many algorithms have been published for the problem of constructing the convex hull of a simple polygon, nearly half of them are ...
ZBrush is used for creating "high-resolution" models (ie. models that reach 40+ million polygons) for use in movies, games, and animations, by companies ranging from ILM [1] [2] and Wētā FX, [3] to Epic Games and Electronic Arts. [4] ZBrush uses dynamic levels of resolution to allow sculptors to make global or local changes to their models.
A simple way to draw such scenes is the painter's algorithm, which produces polygons in order of distance from the viewer, back to front, painting over the background and previous polygons with each closer object. This approach has two disadvantages: the time required to sort polygons in back-to-front order, and the possibility of errors in ...
It creates three-dimensional parametric models that include both geometry and non-geometric design and construction information. It updates all components, views and annotations automatically when changes are made. CATIA: A 3D modeling software used by architect Frank Gehry for his curvilinear buildings such as the Guggenheim Museum Bilbao. [22]
In this setup, back-face may be regarded as a test of whether the points in the polygon appear in clockwise or counter-clockwise order when projected onto the screen. If the user has specified that front-facing polygons have a clockwise winding, but the polygon projected on the screen has a counter-clockwise winding then it has been rotated to ...
In the field of 3D computer graphics, a subdivision surface (commonly shortened to SubD surface or Subsurf) is a curved surface represented by the specification of a coarser polygon mesh and produced by a recursive algorithmic method.
A fractal landscape being rendered using the painter's algorithm on an Amiga. The painter's algorithm (also depth-sort algorithm and priority fill) is an algorithm for visible surface determination in 3D computer graphics that works on a polygon-by-polygon basis rather than a pixel-by-pixel, row by row, or area by area basis of other Hidden-Surface Removal algorithms.