Solid modeling: Difference between revisions

Revision as of 02:35, 22 June 2024

Revision as of 22:54, 23 July 2024

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==Solid representation schemes==

Based on assumed mathematical properties, any scheme of representing solids is a method for capturing information about the class of semi-analytic subsets of Euclidean space. This means all representations are different ways of organizing the same geometric and topological data in the form of a [[data structure]]. All representation schemes are organized in terms of a finite number of operations on a set of primitives. T the modeling space of any particular representation is finite, and any single representation scheme may not completely suffice to represent all types of solids. For example, solids defined via [[Constructive solid geometry|combinations of regularized booleanBoolean operations]] cannot necessarily be represented as the [[Solid sweep|sweep]] of a primitive moving according to a space trajectory, except in very simple cases. This forces modern geometric modeling systems to maintain several representation schemes of solids and also facilitate efficient conversion between representation schemes.