Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Geometric modeling for computer vision.
Geometric modeling for computer vision.
GWB: A Solid Modeler with Euler Operators
IEEE Computer Graphics and Applications
An extension of manifold boundary representations to the r-sets
ACM Transactions on Graphics (TOG)
Proceedings of the Sixth International Conference on Tangible, Embedded and Embodied Interaction
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Instead of storing boundary models of solids directly into a data base, it would be advantageous to map them first into a simpler form. This approach calls for a procedure called in this paper the inversion algorithm of a geometric model. We present and analyze an inversion algorithm which constructs a sequence of Euler Operators capable of creating a given boundary representation. The algorithm is completely based on the use of Euler Operators enabling us to keep the algorithm simple and to hide implementation and data structure details.