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Selected Readings in Vision and Graphics
edited by Luc Van Gool, Gábor Székely, Markus Gross, Bernt Schiele
Volume 24
Matthias Zwicker
Continuous Reconstruction, Rendering,
and Editing of PointSampled Surfaces.
First edition 2003, 188 pages, € 64,00.
ISBN 3896498762
The mathematical
representation of surfaces is at the core of most computer graphics problems.
In particular, the design of modeling and rendering algorithms for computer
graphics applications is largely determined by the specific surface
representation that is chosen. A variety of mathematical models has been
developed for such applications, ranging from parametric to implicit surfaces.
In this thesis, we propose to use nonuniform point
samples to continuously reconstruct, render, and interactively edit surfaces.
Based on results from classical signal processing theory, we develop core
methods for reconstructing, filtering, and resampling nonuniformly
pointsampled surfaces. From these concepts, we derive algorithms for high
quality, antialiased rendering and interactive
surface parameterization.
We start by reviewing fundamental signal processing theory, paying particular
attention to an analysis of the aliasing phenomenon. We then derive the concept
of resampling filters as an efficient antialiasing strategy. Next, we shift our
attention to nonuniformly sampled signals and discuss
a local filtering approach to nonuniform sampling and
reconstruction. Extending these local filtering techniques and combining them
with resampling filters, we introduce a parametric representation of
pointsampled surfaces. We show how to interpret rendering as resampling a
parameterized surface, and we derive an antialiased
rendering algorithm for pointsampled surfaces. We also present an efficient,
hierarchical data structure tailored for pointbased rendering. We further
develop a resampling filter and a splatting algorithm for volume data.
Finally, we present a framework for interactive editing of pointsampled surfaces
building upon two fundamental operations, namely surface parameterization and
surface resampling. We show how to implement editing operations such as
painting, texturing, carving, displacement mapping, and filtering.
About the Author:
Matthias Zwicker received his MSc degree in Computer
Science (Dipl. InformatikIng. ETH)
from the Swiss Federal Institute of Technology (ETH) Zurich, Switzerland, in
1998. From 1998 to 2003, he has been a research assistant and PhD
student with the Computer Graphics Laboratory at ETH Zurich. He earned his PhD
in Computer Science in 2003 for his work on rendering algorithms and data
structures for pointbased surface representations. Currently, Matthias Zwicker is a Postdoctoral Associate with the Computer
Graphics Group at the Massachusetts Institute of Technology.
Reihe " Selected Readings in Vision and
Graphics " im HartungGorre Verlag
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