Locally Supported Tangential Vector, n-Vector, and Tensor Fields

Simple item page
dc.contributor.authorNasikun, Ahmaden_US
dc.contributor.authorBrandt, Christopheren_US
dc.contributor.authorHildebrandt, Klausen_US
dc.contributor.editorPanozzo, Daniele and Assarsson, Ulfen_US
dc.date.accessioned2020-05-24T12:51:29Z
dc.date.available2020-05-24T12:51:29Z
dc.date.issued2020
dc.description.abstractWe introduce a construction of subspaces of the spaces of tangential vector, n-vector, and tensor fields on surfaces. The resulting subspaces can be used as the basis of fast approximation algorithms for design and processing problems that involve tangential fields. Important features of our construction are that it is based on a general principle, from which constructions for different types of tangential fields can be derived, and that it is scalable, making it possible to efficiently compute and store large subspace bases for large meshes. Moreover, the construction is adaptive, which allows for controlling the distribution of the degrees of freedom of the subspaces over the surface. We evaluate our construction in several experiments addressing approximation quality, scalability, adaptivity, computation times and memory requirements. Our design choices are justified by comparing our construction to possible alternatives. Finally, we discuss examples of how subspace methods can be used to build interactive tools for tangential field design and processing tasks.en_US
dc.description.number2
dc.description.sectionheadersGeometry Processing
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.13924
dc.identifier.issn1467-8659
dc.identifier.pages203-217
dc.identifier.urihttps://doi.org/10.1111/cgf.13924
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13924
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleLocally Supported Tangential Vector, n-Vector, and Tensor Fieldsen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
v39i2pp203-217.pdf
Size:
51.92 MB
Format:
Adobe Portable Document Format
Download
Collections
39-Issue 2