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Terrain and Model Queries Using Scalar Representations with Wavelet Compression

Fünfzig, Christoph ; Ullrich, Torsten ; Fellner, Dieter W. ; Bachelder, Edward N. (2009)
Terrain and Model Queries Using Scalar Representations with Wavelet Compression.
In: IEEE Transactions on Instrumentation and Measurement, 58 (9)
Article, Bibliographie

Abstract

In this paper, we present efficient height/distance field data structures for line-of-sight (LOS) queries on terrains and collision queries on arbitrary 3-D models. The data structure uses a pyramid of quad-shaped regions with the original height/distance field at the highest level and an overall minimum/maximum value at the lower levels. The pyramid can compactly be stored in a wavelet-like decomposition but using max and plus operations. Additionally, we show how to get minimum/maximum values for regions in a wavelet decomposition using real algebra. For LOS calculations, we compare with a kd-tree representation containing the maximum height values. Furthermore, we show that the LOS calculation is a special case of a collision detection query. Using our wavelet-like approach, even general and arbitrary collision detection queries can efficiently be answered.

Item Type: Article
Erschienen: 2009
Creators: Fünfzig, Christoph ; Ullrich, Torsten ; Fellner, Dieter W. ; Bachelder, Edward N.
Type of entry: Bibliographie
Title: Terrain and Model Queries Using Scalar Representations with Wavelet Compression
Language: English
Date: 2009
Journal or Publication Title: IEEE Transactions on Instrumentation and Measurement
Volume of the journal: 58
Issue Number: 9
Abstract:

In this paper, we present efficient height/distance field data structures for line-of-sight (LOS) queries on terrains and collision queries on arbitrary 3-D models. The data structure uses a pyramid of quad-shaped regions with the original height/distance field at the highest level and an overall minimum/maximum value at the lower levels. The pyramid can compactly be stored in a wavelet-like decomposition but using max and plus operations. Additionally, we show how to get minimum/maximum values for regions in a wavelet decomposition using real algebra. For LOS calculations, we compare with a kd-tree representation containing the maximum height values. Furthermore, we show that the LOS calculation is a special case of a collision detection query. Using our wavelet-like approach, even general and arbitrary collision detection queries can efficiently be answered.

Uncontrolled Keywords: Forschungsgruppe Semantic Models, Immersive Systems (SMIS), Data structures, Query processing, Wavelet transformation
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Date Deposited: 12 Nov 2018 11:16
Last Modified: 04 Feb 2022 12:41
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