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Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness

James Damon (2003)

Annales de l’institut Fourier

We introduce a skeletal structure ( M , U ) in n + 1 , which is an n - dimensional Whitney stratified set M on which is defined a multivalued “radial vector field” U . This is an extension of notion of the Blum medial axis of a region in n + 1 with generic smooth boundary. For such a skeletal structure there is defined an “associated boundary” . We introduce geometric invariants of the radial vector field U on M and a “radial flow” from M to . Together these allow us to provide sufficient numerical conditions for...

Some topics concerning homeomorphic parameterizations.

Stephen Semmes (2001)

Publicacions Matemàtiques

In this survey, we consider several questions pertaining to homeomorphisms, including criteria for their existence in certain circumstances, and obstructions to their existence.

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