CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

authors Pasko, A.A., Adzhiev, V.D., Sourin, A.I. and Savchenko, V.V.
year 1995
title Function representation in geometric modeling: concepts, implementation and applications
source The Visual Computer, 11 (8) 429-446
summary 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 xn ( , ,..., ) 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 intersection relations are described. In the implemented interactive modeling system, we use highlevel geometric language that provides extendibility of the modeling system by input symbolic descriptions of primitives, operations and predicates. This approach supports combinations of representational styles, including constructive geometry, sweeping, soft objects, voxel-based objects, deformable and other animated objects. Application examples of aesthetic design, collisions simulation, NC machining, range data processing, and 3D texture generation are given.
series journal paper
full text file.pdf (106,571 bytes)
references Content-type: text/plain
last changed 2003/04/23 13:50
HOMELOGIN (you are user _anon_48036 from group guest) Works Powered by SciX Open Publishing Services 1.002