J. A. Quinn, F. C. Langbein, R. R. Martin
In: Proc. Symp. Point-Based Graphics, Eurographics Assocication,
pp. 19-28, 2007.
ISBN 3905673517.
[DOI: 10.2312/SPBG/SPBG07/019-028] [Preprint] [CiteSeer]
A novel point sampling framework for polygonal meshes is presented, based on sampling a mesh according to a density-controlled low-discrepancy distribution. The local sampling density can be controlled by a density functional defined by the user, e.g. to preserve local features, or to achieve desired data reduction rates. To sample the mesh, it is cut into a disc topology, and a parametrisation is generated. The parameterised mesh is sampled using a Hilbert curve in the parameter domain, which is adapted to parametric distortions and mapped onto the mesh. 1D sample points along the Hilbert curve are then generated, correcting for parametric distortion and a user-specified local density, to give a density-controlled low-discrepancy sampling of the mesh. After a pre-processing step, the sampling density can be adjusted in real-time. Experiments show that this approach can quickly resample existing meshes with low discrepancy samples. The effectiveness and speed of the approach are demonstrated by applying it to viewpoint dependent rendering, level of detail representation, and interactive remeshing.
@INPROCEEDINGS{Quinn2007,
author = {Jonathan A. Quinn and Frank C. Langbein and Ralph R.
Martin},
title = {Low-Discrepancy Point Sampling of Meshes for
Rendering},
booktitle = {Eurographics Symposium on Point-Based Graphics},
year = 2007,
editor = {M. Botsch and R. Pajarola and B. Chen and M.
Zwicker},
pages = {19-28},
publisher = {Eurographics Association},
isbn = 3905673517,
doi = {10.2312/SPBG/SPBG07/019-028},
url = {http://www.langbein.org/research/points/sampling/quinn2007/},
abstract = {A novel point sampling framework for polygonal
meshes is presented, based on sampling a mesh
according to a density-controlled low-discrepancy
distribution. The local sampling density can be
controlled by a density functional defined by the
user, e.g. to preserve local features, or to achieve
desired data reduction rates. To sample the mesh, it
is cut into a disc topology, and a parametrisation
is generated. The parameterised mesh is sampled
using a Hilbert curve in the parameter domain, which
is adapted to parametric distortions and mapped onto
the mesh. 1D sample points along the Hilbert curve
are then generated, correcting for parametric
distortion and a user-specified local density, to
give a density-controlled low-discrepancy sampling
of the mesh. After a pre-processing step, the
sampling density can be adjusted in real-time.
Experiments show that this approach can quickly
resample existing meshes with low discrepancy
samples. The effectiveness and speed of the approach
are demonstrated by applying it to viewpoint
dependent rendering, level of detail representation,
and interactive remeshing.},
}
Low-Discrepancy Sampling of Meshes for Rendering,http://www.langbein.org/research/points/sampling/quinn2007/print by Frank C Langbein [ 6/December/2008, 19:34].
Copyright © 1995-2012, Frank C Langbein.
Except where otherwise stated, this web site, Ex Tenebris Scientia, by Frank C Langbein is licensed under a Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK: England & Wales License.