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dc.contributor.author
Jacobson, Alec
dc.date.accessioned
2017-07-21T09:12:35Z
dc.date.available
2017-06-10T15:18:49Z
dc.date.available
2017-07-21T09:12:35Z
dc.date.issued
2012
dc.identifier.uri
http://hdl.handle.net/20.500.11850/65075
dc.identifier.doi
10.3929/ethz-a-007600337
dc.description.abstract
Many recent works attempt to generalize barycentric coordinates to arbitrary polygons. I construct a counterexample proving that no such generalization will produce purely bijective mappings in the plane provided the coordinates meet the Lagrange, reproduction, and partition of unity properties. The proof concerns generalized barycentric coordinates in a square, but trivially generalizes to arbitrary polygons with degree greater than three.
en_US
dc.language.iso
en
en_US
dc.publisher
Eidgenössische Technische Hochschule Zürich, Department of Computer Science
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Generalized barycentric coordinates
en_US
dc.subject
Planar mappings
en_US
dc.title
Bijective mappings with generalized barycentric coordinates
en_US
dc.type
Report
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2013
ethz.title.subtitle
A counterexample
en_US
ethz.journal.title
Technical report / Departement of Computer Science, ETH Zürich
ethz.journal.volume
780
en_US
ethz.size
Online-Ressource
en_US
ethz.code.ddc
0 - Computer science, information & general works::004 - Data processing, computer science
en_US
ethz.notes
Technical Reports D-INFK.
en_US
ethz.identifier.nebis
007600337
ethz.publication.place
Zürich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02150 - Dep. Informatik / Dep. of Computer Science
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02150 - Dep. Informatik / Dep. of Computer Science::02659 - Institut für Visual Computing / Institute for Visual Computing
en_US
ethz.date.deposited
2017-06-10T15:19:15Z
ethz.source
ECOL
ethz.source
ECIT
ethz.identifier.importid
imp59366b357195719801
ethz.identifier.importid
imp5936507518b3884479
ethz.ecolpid
eth:6473
ethz.ecitpid
pub:103527
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-15T23:31:07Z
ethz.rosetta.lastUpdated
2017-07-21T09:12:41Z
ethz.rosetta.versionExported
true
ethz.COinS
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