- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Hearing the Shape of the Bunny
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Hearing the Shape of the Bunny Vouga, Etienne
Description
It is well-known that one cannot generally hear the shape of a drum: the metric of a compact surface is not uniquely determined by its Laplace-Beltrami spectrum. But one can still seek computational solutions to the inverse problem: given a sequence of eigenvalues, can we compute a surface whose Laplace-Beltrami spectrum approximates the sequence I will discuss some numerical experiments related to this problem for the case of surfaces of sphere topology, whose discrete conformal parameterization leads to an especially simple formulation of the inverse problem.
Item Metadata
Title |
Hearing the Shape of the Bunny
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2018-07-02T11:12
|
Description |
It is well-known that one cannot generally hear the shape of a drum:
the metric of a compact surface is not uniquely determined by its
Laplace-Beltrami spectrum. But one can still seek computational
solutions to the inverse problem: given a sequence of eigenvalues, can
we compute a surface whose Laplace-Beltrami spectrum approximates the
sequence I will discuss some numerical experiments related to this
problem for the case of surfaces of sphere topology, whose discrete
conformal parameterization leads to an especially simple formulation
of the inverse problem.
|
Extent |
15.0
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Texas at Austin
|
Series | |
Date Available |
2019-03-20
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0377223
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Researcher
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International