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Function representation in geometric modeling: concepts, implementation and applications
1995
The Visual Computer
Geometric modeling using continuous real functions of several variables is discussed. Modeling concepts include sets of objects, operations and relations. An object is a closed point set of n-dimensional Euclidean space with a defining inequality f x x x n ( , ,..., ) 1 2 0 ≥ . Transformations of a defining function are described for the set-theoretic operations, blending, offsetting, bijective mapping, projection, Cartesian product and metamorphosis. Inclusion, point membership and
doi:10.1007/s003710050034
fatcat:volsb5qdgbfythmastzaarbkai