A Case-Study of Inconsistent Surface Reconstruction in Recent Literature Resulting from Octree Rotation-Variance
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Date
2007
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Journal ISSN
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Publisher
The Eurographics Association
Abstract
We review the use of octree and PCA (Principle Component Analysis) in current literature and explore a leading piece of research, as a case study, to highlight how overlooking octree rotation-variance has resulted in inconsistent results. We provide a simple method using PCA to re-orientate an octree to the intrinsic-orientation defined by data variance. In our case-study we explore and provide a method for consistency within multi-scale CSRBFs (Compactly Supported Radial Basis Functions). By utilizing PCA we provide rotation-invariant multi-scale surface reconstructions. We show, by curvature analysis, that the original surface reconstruction method is variant to data orientation and that our approach results in rotation-invariant reconstructions. In addition we also provide a technique for more flexibility when choosing a CSRBF for use with multi-scale surface reconstruction.
Description
@inproceedings{10.2312:LocalChapterEvents/TPCG/TPCG07/195-199,
booktitle = {Theory and Practice of Computer Graphics},
editor = {Ik Soo Lim and David Duce},
title = {{A Case-Study of Inconsistent Surface Reconstruction in Recent Literature Resulting from Octree Rotation-Variance}},
author = {Hughes, David Meirion and Lim, Ik Soo},
year = {2007},
publisher = {The Eurographics Association},
ISBN = {978-3-905673-63-0},
DOI = {10.2312/LocalChapterEvents/TPCG/TPCG07/195-199}
}