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On Normals and Projection Operators for Surfaces Defined by Point Sets

Alexa, Marc ; Adamson, Anders (2004)
On Normals and Projection Operators for Surfaces Defined by Point Sets.
Symposium on Point Based Graphics.
Conference or Workshop Item, Bibliographie

Abstract

Levin's MLS projection operator allows defining a surface from a set of points and represents a versatile procedure to generate points on this surface. Practical problems of MLS surfaces are a complicated non-linear optimization to compute a tangent frame and the (commonly overlooked) fact that the normal to this tangent frame is not the surface normal. An alternative definition of Point Set Surfaces, inspired by the MLS projection, is the implicit surface version of Adamson & Alexa.We use this surface definition to show how to compute exact surface normals and present simple, efficient projection operators. The exact normal computation also allows computing orthogonal projections.

Item Type: Conference or Workshop Item
Erschienen: 2004
Creators: Alexa, Marc ; Adamson, Anders
Type of entry: Bibliographie
Title: On Normals and Projection Operators for Surfaces Defined by Point Sets
Language: English
Date: 2004
Publisher: Eurographics, Aire-la-Ville
Event Title: Symposium on Point Based Graphics
Abstract:

Levin's MLS projection operator allows defining a surface from a set of points and represents a versatile procedure to generate points on this surface. Practical problems of MLS surfaces are a complicated non-linear optimization to compute a tangent frame and the (commonly overlooked) fact that the normal to this tangent frame is not the surface normal. An alternative definition of Point Set Surfaces, inspired by the MLS projection, is the implicit surface version of Adamson & Alexa.We use this surface definition to show how to compute exact surface normals and present simple, efficient projection operators. The exact normal computation also allows computing orthogonal projections.

Uncontrolled Keywords: Shape approximation, Solid representation, Surface representation, Curve representation
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Date Deposited: 16 Apr 2018 09:04
Last Modified: 16 Apr 2018 09:04
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