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Half-space Method
Solid representation is based fundamentally on the notion that a physical object divides an n-dimensional space En into two regions: interior and exterior, separated by object boundaries. In terms of above notion, a solid model of an object is defined mathematically as a point set S in 3-D Euclidean space (E3).
Suppose a surface divides the whole of three-dimensional space into two distinct regions. Each such region is called a "half-space". This does NOT imply that they are equal in volume. One possible surface is the sphere denoted by the equation
X * X + Y * Y + Z * Z = 1
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Phase of or
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wire-frame entities-representing ellipse and parabolas
Explain the Methods of solid modeling The various methods for representing the solids are : (i) Half-space method (ii) Boundary representation method (b-rep) (iii)
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