Details
| Original language | English |
|---|---|
| Title of host publication | Modelling, Simulation and Software Concepts for Scientific-Technological Problems |
| Publisher | Springer Verlag |
| Pages | 211-235 |
| Number of pages | 25 |
| ISBN (electronic) | 978-3-642-20490-6 |
| ISBN (print) | 9783642204890 |
| Publication status | Published - 2011 |
Publication series
| Name | Lecture Notes in Applied and Computational Mechanics |
|---|---|
| Volume | 57 |
| ISSN (Print) | 1613-7736 |
Abstract
This chapter presents an overview on contributions of the Welfenlab to GRK 615. Those contributions partial to computational differential geometry include computations of geodesic medial axis, cut locus, geodesic Voronoi diagrams, ("shortest") geodesics joining two given points, "focal sets and conjugate loci" in Riemannian manifolds and the application of the medial axis on metal forming simulation. The chapter includes also the computation of Laplace spectra of surfaces, solids and images and the application of those Laplace spectra to recognize the respective objects in large collections of surfaces, solids and images. Beyond that this article touches also on the origin of the afore-mentioned works including research done at theWelfenlab as well as works that can be traced back to the graduate studies of the first author.
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
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Modelling, Simulation and Software Concepts for Scientific-Technological Problems. Springer Verlag, 2011. p. 211-235 (Lecture Notes in Applied and Computational Mechanics; Vol. 57).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Computational Differential Geometry Contributions of theWelfenlab to GRK 615
AU - Wolter, Franz Erich
AU - Blanke, Philipp
AU - Thielhelm, Hannes
AU - Vais, Alexander
PY - 2011
Y1 - 2011
N2 - This chapter presents an overview on contributions of the Welfenlab to GRK 615. Those contributions partial to computational differential geometry include computations of geodesic medial axis, cut locus, geodesic Voronoi diagrams, ("shortest") geodesics joining two given points, "focal sets and conjugate loci" in Riemannian manifolds and the application of the medial axis on metal forming simulation. The chapter includes also the computation of Laplace spectra of surfaces, solids and images and the application of those Laplace spectra to recognize the respective objects in large collections of surfaces, solids and images. Beyond that this article touches also on the origin of the afore-mentioned works including research done at theWelfenlab as well as works that can be traced back to the graduate studies of the first author.
AB - This chapter presents an overview on contributions of the Welfenlab to GRK 615. Those contributions partial to computational differential geometry include computations of geodesic medial axis, cut locus, geodesic Voronoi diagrams, ("shortest") geodesics joining two given points, "focal sets and conjugate loci" in Riemannian manifolds and the application of the medial axis on metal forming simulation. The chapter includes also the computation of Laplace spectra of surfaces, solids and images and the application of those Laplace spectra to recognize the respective objects in large collections of surfaces, solids and images. Beyond that this article touches also on the origin of the afore-mentioned works including research done at theWelfenlab as well as works that can be traced back to the graduate studies of the first author.
UR - http://www.scopus.com/inward/record.url?scp=79955822111&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-20490-6_9
DO - 10.1007/978-3-642-20490-6_9
M3 - Contribution to book/anthology
AN - SCOPUS:79955822111
SN - 9783642204890
T3 - Lecture Notes in Applied and Computational Mechanics
SP - 211
EP - 235
BT - Modelling, Simulation and Software Concepts for Scientific-Technological Problems
PB - Springer Verlag
ER -