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Comparison of Node Insertion Algorithms for Delaunay Networks

Comparison of Node Insertion Algorithms for Delaunay Networks
Comparison of Node Insertion Algorithms for Delaunay Networks
This paper compares three different node insertion strategies which can be used to incrementally construct Delaunay triangulation models. Delaunay networks may be used to efficiently store low dimensional nonlinear models, and can therefore be used in a wide range of real-time applications. However, there are no direct node selection methods, and it can be shown that the network's generalisation abilities are strongly affected by the triangular partitioning of the input space. The three iterative, constructive node insertion algorithms (maximum error, local weighted error and one-step-ahead optimal search) are compared using two data sets, and conclusions are drawn about the quality of the extracted triangulation and the algorithms' computational costs.
775-780
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049
Ullrich, T.
da1a7726-42f5-4be0-8130-79e058b682b2
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049
Ullrich, T.
da1a7726-42f5-4be0-8130-79e058b682b2

Brown, M. and Ullrich, T. (1997) Comparison of Node Insertion Algorithms for Delaunay Networks. 2nd Mathematical Modelling Conference (MathMod). pp. 775-780 .

Record type: Conference or Workshop Item (Other)

Abstract

This paper compares three different node insertion strategies which can be used to incrementally construct Delaunay triangulation models. Delaunay networks may be used to efficiently store low dimensional nonlinear models, and can therefore be used in a wide range of real-time applications. However, there are no direct node selection methods, and it can be shown that the network's generalisation abilities are strongly affected by the triangular partitioning of the input space. The three iterative, constructive node insertion algorithms (maximum error, local weighted error and one-step-ahead optimal search) are compared using two data sets, and conclusions are drawn about the quality of the extracted triangulation and the algorithms' computational costs.

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More information

Published date: 1997
Additional Information: Address: Vienna, Austria
Venue - Dates: 2nd Mathematical Modelling Conference (MathMod), 1997-01-01
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 250068
URI: http://eprints.soton.ac.uk/id/eprint/250068
PURE UUID: 983c17ff-d2eb-46e5-82e1-22ca11e5ed77

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Date deposited: 04 May 1999
Last modified: 10 Dec 2021 20:06

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Contributors

Author: M. Brown
Author: T. Ullrich

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