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Region (geometry)
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In geometry, a region is a subset of Euclidean space. One-dimensional space (1D), 2D, and 3D regions form curves, surfaces, and solid figures, respectively. The amount or extent of space are quantified by scalars such as length, area, and volume, respectively. Special cases of flat regions in 1D and 2D are line segments and faces, respectively. Locus is a region satisfying a given condition. In a convex region, the line segment between any two points is also contained in the set. A geometric region may be specified in terms of shape, location, scale, orientation, and reflection. The concept is useful in computer graphics and geometric modeling, such as in the computer representation of surfaces and in the solution of intersection problems. In physics, a region is a subset of physical space that is regular open, connected, and bounded (see also: closed regular set). |
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