Information
- Publication Type: Journal Paper with Conference Talk
- Workgroup(s)/Project(s):
- Date: 2016
- Date (from): 24. July 2016
- Date (to): 28. July 2016
- Event: ACM SIGGRAPH 2016
- ISSN: 0730-0301
- Journal: ACM Transactions on Graphics
- Lecturer:
- Location: Anaheim, CA, USA
- Number: 4
- Pages (from): 87:1
- Pages (to): 87:13
- Volume: 35
Abstract
In this paper we present a novel method for non-linear shape optimization of 3d objects given by their surface representation. Our method takes advantage of the fact that various shape properties of interest give rise to underdetermined design spaces implying the existence of many good solutions. Our algorithm exploits this by performing iterative projections of the problem to local subspaces where it can be solved much more efficiently using standard numerical routines.
We demonstrate how this approach can be utilized for various shape optimization tasks using different shape parameterizations. In particular, we show how to efficiently optimize natural frequencies, mass properties, as well as the structural yield strength of a solid body. Our method is flexible, easy to implement, and very fast.
Additional Files and Images
Additional images and videos
Additional files
code:
MATLAB demo code of subspace projection
Weblinks
BibTeX
@article{musialski_2016_sosp,
title = "Non-Linear Shape Optimization Using Local Subspace
Projections",
author = "Przemyslaw Musialski and Christian Hafner and Florian Rist
and Michael Birsak and Michael Wimmer and Leif Kobbelt",
year = "2016",
abstract = "In this paper we present a novel method for non-linear shape
optimization of 3d objects given by their surface
representation. Our method takes advantage of the fact that
various shape properties of interest give rise to
underdetermined design spaces implying the existence of many
good solutions. Our algorithm exploits this by performing
iterative projections of the problem to local subspaces
where it can be solved much more efficiently using standard
numerical routines. We demonstrate how this approach can be
utilized for various shape optimization tasks using
different shape parameterizations. In particular, we show
how to efficiently optimize natural frequencies, mass
properties, as well as the structural yield strength of a
solid body. Our method is flexible, easy to implement, and
very fast.",
issn = "0730-0301",
journal = "ACM Transactions on Graphics",
number = "4",
volume = "35",
pages = "87:1--87:13",
URL = "https://www.cg.tuwien.ac.at/research/publications/2016/musialski_2016_sosp/",
}