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Title: Hierarchical Representation of Time-Varying Volume Data with Fourth-Root-of-Two Subdivision and Quadrilinear B-Spline Wavelets

Abstract

Multiresolution methods for representing data at multiple levels of detail are widely used for large-scale two- and three-dimensional data sets. We present a four-dimensional multiresolution approach for time-varying volume data. This approach supports a hierarchy with spatial and temporal scalability. The hierarchical data organization is based on 4{radical}2 subdivision. The n{radical}2-subdivision scheme only doubles the overall number of grid points in each subdivision step. This fact leads to fine granularity and high adaptivity, which is especially desirable in the spatial dimensions. For high-quality data approximation on each level of detail, we use quadrilinear B-spline wavelets. We present a linear B-spline wavelet lighting scheme based on n{radical}2 subdivision to obtain narrow masks for the update rules. Narrow masks provide a basis for out-of-core data exploration techniques and view-dependent visualization of sequences of time steps.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
15002518
Report Number(s):
UCRL-JC-151063
TRN: US200416%%23
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Pacific Graphics 2002, Tsinghua University, Beijing (CN), 10/09/2002--10/11/2002; Other Information: PBD: 19 Nov 2002
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; DIMENSIONS; VOLUME; DATA PROCESSING; FOUR-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE

Citation Formats

Linsen, L, Pascucci, V, Duchaineau, M A, Hamann, B, and Joy, K I. Hierarchical Representation of Time-Varying Volume Data with Fourth-Root-of-Two Subdivision and Quadrilinear B-Spline Wavelets. United States: N. p., 2002. Web.
Linsen, L, Pascucci, V, Duchaineau, M A, Hamann, B, & Joy, K I. Hierarchical Representation of Time-Varying Volume Data with Fourth-Root-of-Two Subdivision and Quadrilinear B-Spline Wavelets. United States.
Linsen, L, Pascucci, V, Duchaineau, M A, Hamann, B, and Joy, K I. 2002. "Hierarchical Representation of Time-Varying Volume Data with Fourth-Root-of-Two Subdivision and Quadrilinear B-Spline Wavelets". United States. https://www.osti.gov/servlets/purl/15002518.
@article{osti_15002518,
title = {Hierarchical Representation of Time-Varying Volume Data with Fourth-Root-of-Two Subdivision and Quadrilinear B-Spline Wavelets},
author = {Linsen, L and Pascucci, V and Duchaineau, M A and Hamann, B and Joy, K I},
abstractNote = {Multiresolution methods for representing data at multiple levels of detail are widely used for large-scale two- and three-dimensional data sets. We present a four-dimensional multiresolution approach for time-varying volume data. This approach supports a hierarchy with spatial and temporal scalability. The hierarchical data organization is based on 4{radical}2 subdivision. The n{radical}2-subdivision scheme only doubles the overall number of grid points in each subdivision step. This fact leads to fine granularity and high adaptivity, which is especially desirable in the spatial dimensions. For high-quality data approximation on each level of detail, we use quadrilinear B-spline wavelets. We present a linear B-spline wavelet lighting scheme based on n{radical}2 subdivision to obtain narrow masks for the update rules. Narrow masks provide a basis for out-of-core data exploration techniques and view-dependent visualization of sequences of time steps.},
doi = {},
url = {https://www.osti.gov/biblio/15002518}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Nov 19 00:00:00 EST 2002},
month = {Tue Nov 19 00:00:00 EST 2002}
}

Conference:
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