Orthogonalized Fourier Polynomials for Signal Approximation and Transfer

Simple item page
dc.contributor.authorMaggioli, Filippoen_US
dc.contributor.authorMelzi, Simoneen_US
dc.contributor.authorOvsjanikov, Maksen_US
dc.contributor.authorBronstein, Michael M.en_US
dc.contributor.authorRodolĂ , Emanueleen_US
dc.contributor.editorMitra, Niloy and Viola, Ivanen_US
dc.date.accessioned2021-04-09T08:01:07Z
dc.date.available2021-04-09T08:01:07Z
dc.date.issued2021
dc.description.abstractWe propose a novel approach for the approximation and transfer of signals across 3D shapes. The proposed solution is based on taking pointwise polynomials of the Fourier-like Laplacian eigenbasis, which provides a compact and expressive representation for general signals defined on the surface. Key to our approach is the construction of a new orthonormal basis upon the set of these linearly dependent polynomials. We analyze the properties of this representation, and further provide a complete analysis of the involved parameters. Our technique results in accurate approximation and transfer of various families of signals between near-isometric and non-isometric shapes, even under poor initialization. Our experiments, showcased on a selection of downstream tasks such as filtering and detail transfer, show that our method is more robust to discretization artifacts, deformation and noise as compared to alternative approaches.en_US
dc.description.number2
dc.description.sectionheadersShape Analysis
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.142645
dc.identifier.issn1467-8659
dc.identifier.pages435-447
dc.identifier.urihttps://doi.org/10.1111/cgf.142645
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf142645
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectShape analysis
dc.subjectTheory of computation
dc.subjectComputational geometry
dc.subjectMathematics of computing
dc.subjectFunctional analysis
dc.titleOrthogonalized Fourier Polynomials for Signal Approximation and Transferen_US
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
v40i2pp435-447.pdf
Size:
4.79 MB
Format:
Adobe Portable Document Format
Download
Thumbnail Image
Name:
paper1012_supp.pdf
Size:
106.08 KB
Format:
Adobe Portable Document Format
Download
Collections
40-Issue 2