Michael E. Henderson

Examples of the Continuation Algorithm

New: My continuation code "Multifario" is now available under an Open Source license from COIN-OR.

This new version of the implicit surface algorithm uses the interior of hyperspheres as the domains of charts covering the manifold, instead of ellipses. This allows the boundary of the union of the balls covering the manifold to be computed as the union of intersections of hypersphere and a convex polytope.

 These examples were all generated using the same algorithm!

 Computing a 1-manifold embedded in 2-space:

Computing a 2-manifold embedded in 2-space: and 2-manifolds embedded in 3-space: Computing a 3-manifold embedded in 3-space:
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