A Case-Study of Inconsistent Surface Reconstruction in Recent Literature Resulting from Octree Rotation-Variance
No Thumbnail Available
Date
2007
Authors
Journal Title
Journal ISSN
Volume Title
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}
}