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A formal language approach for a 3D curve representation

โœ Scribed by E. Bribiesca; C. Velarde

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
799 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

A tbrmal language approach for representing three-dimensional (3D) curves is presented. Based on the chMn code for representing 3D carves defined in [1], we propose an approach for mapping 3D curves into strings. This mapping allows us to have a unique curve descriptor, which is invariant under translation and rotation. Also, it is possible to use inverse and mirroring operators and the use of formal language techniques for 3D curve generation and analysis. Finally, we present a result of this approach to represent and to generate polygonal sequences convergent to cube-filling Hilbert curves. (~) 2001 Elsevier Science Ltd. All rights reserved.

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