Anzeige
Erschienen in:
1995 | OriginalPaper | Buchkapitel
Oriented Distance Functions in Shape Analysis and Optimization
verfasst von : Michel C. Delfour, Jean-Paul Zolésio
Erschienen in: Control and Optimal Design of Distributed Parameter Systems
Verlag: Springer New York
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The object of this paper is twofold. We first present constructions which induce topologies on subsets of a fixed domain or hold-all D in ℝN by using set parametrized functions in an appropriate function space. Secondly we study the role of the family of oriented distance functions (also known as algebraic or signed distance functions) in the analysis of shape optimization problems. They play an important role in the introduction of topologies which retain the classical geometric properties associated with sets: convexity, exterior normals, mean curvature, Ck boundaries, etc.