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19.4.3 Properties of cell decompositions The properties of cell decomposition methods are Expressive power: they are very general and accurate, not necessarily requiring approxi- nations Validity: they require an intersection test for verification Unambiguity. they provide an unambiguous representation Nonuniqueness: Similarly to the Constructive Solid geometry method, the same object can be represented at different resolutions or with different types of mesh(eg. hexahedral tetrahedral, etc. ) ically is done by conversion from other representations with or without geometric approximation Conciseness: memory utilization is less than octrees, yet more than Boundary Represen- tation Applicability: finite element meshing, multimaterial non-homogeneous objects, visualiza tion of fields. etc19.4.3 Properties of cell decompositions The properties of cell decomposition methods are: • Expressive power: they are very general and accurate, not necessarily requiring approxi￾mations; • Validity: they require an intersection test for verification; • Unambiguity: they provide an unambiguous representation; • Nonuniqueness: Similarly to the Constructive Solid Geometry method, the same object can be represented at different resolutions or with different types of mesh (eg. hexahedral, tetrahedral, etc.); • Generation: It typically is done by conversion from other representations with or without geometric approximation; • Conciseness: memory utilization is less than octrees, yet more than Boundary Represen￾tation; • Applicability: finite element meshing, multimaterial non-homogeneous objects, visualiza￾tion of fields, etc. 13
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