Article (Journal/Review)
Affine skeletons and monge-ampere equations
Fecha
2009Registro en:
0040-1625 / 1873-5509
10.1137/080725015
000278101200009
Autor
Silva, Moacyr Alvim Horta Barbosa da
Teixeira, Ralph Costa
Velho, Luiz
Institución
Resumen
An important question about a. ne skeletons is the existence of differential equations that are related to the 'affine distance' and the 'area distance' (hence to a. ne skeletons) in the same way the Eikonal equation is related to the 'Euclidean distance' (and the medial axis). We show a surprisingly simple nonlinear second order PDE of Monge-Ampere type that relates to the a. ne skeletons (and extends the Eikonal equation for the medial axis). We also discuss some consequences and ideas that this new PDE formulation suggests.