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On the geometry of convex reflectors

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Oliker V.

Banach Center Publications

2002

tom 57

nr 1

155-169

In this paper we consider a special class of convex hypersurfaces in Euclidean space which arise as weak solutions to some inverse problems of recovering reflectors from scattering data. For this class of hypersurfaces we study the notion of the focal function which, while sharing the important convexity property with the classical support function, has the advantage of being exactly the "right tool" for such inverse problems. We also discuss briefly the close analogy between one such inverse problem and the classical Minkowski problem.

Corrections to my paper "On the geometry of convex reflectors" (Banach Center Publ. 57 (2002), 155-169)

100%

Oliker V.

Banach Center Publications

2005

tom 69

nr 1

269-270

Ograniczanie wyników

2 Banach Center Publications

2 Oliker V.

1 2005

1 2002

Wyniki wyszukiwania

On the geometry of convex reflectors

Corrections to my paper "On the geometry of convex reflectors" (Banach Center Publ. 57 (2002), 155-169)