Elsevier

Computer-Aided Design

Volume 27, Issue 8, August 1995, Pages 573-586
Computer-Aided Design

Research
Quadric shell intersections

https://doi.org/10.1016/0010-4485(94)00009-3Get rights and content

Abstract

The paper considers intersections of natural quadric shells (surfaces with thickness). A natural quadric shell can be thought of as a solid defined by a natural quadric surface and its offset (which is again a quadric). Thus, the intersection of quadric shells is essentially the same as the set of intersections of quadric surfaces and their offsets. An approach is presented to obtain the intersection of any two offset surfaces (of the initial quadrics) in terms of the offset distances. For the intersection of any two shells (which contain the initial quadrics as one of their surfaces), the intersection curve can be obtained directly by substituting the appropriate shell thickness (offset distances) in the general solution.

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