Computing Implicitly Defined Surfaces: Two Parameter Continuation

Implicitly defined surface arise in many different contexts, from physical simulation to CAD and visualization. We describe a continuation algorithm for computing implitily defined surfaces. It is similar to analytic continuation, without the drawbacks of that algorithm. It is well suited to surfaces embedded in high dimensional spaces, has a natural step-size selection, and has no difficulties with global topologies which are not planar (i.e. spheres, tori etc.).

By: Michael E. Henderson

Published in: RC18777 in 1993

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