About: Inflection Point Preserving Fairing of Discrete Surfaces with Boundary

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles). In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles). (en) In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles). (cs)
Title	Inflection Point Preserving Fairing of Discrete Surfaces with Boundary Inflection Point Preserving Fairing of Discrete Surfaces with Boundary (en) Inflection Point Preserving Fairing of Discrete Surfaces with Boundary (cs)
skos:prefLabel	Inflection Point Preserving Fairing of Discrete Surfaces with Boundary Inflection Point Preserving Fairing of Discrete Surfaces with Boundary (en) Inflection Point Preserving Fairing of Discrete Surfaces with Boundary (cs)
skos:notation	RIV/68407700:21230/08:03150819!RIV09-MSM-21230___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET101210406), Z(MSM6840770012)
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Šára, Radim Kostková, Jana
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	372015
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/08:03150819
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	curvature approximation; mesh regularity improvement; mesh smoothing; surface fairing (en)
http://linked.open.../riv/klicoveSlovo	curvature approximation mesh regularity improvement mesh smoothing surface fairing
http://linked.open...ontrolniKodProRIV	[B6A53DC9F9FB]
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Automatic 3D Virtual Model Builder from Photographs
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Šára, Radim Kostlivá, Jana Matýsková, M.
http://linked.open...n/vavai/riv/zamer	Transdisciplinární výzkum v oblasti biomedicínského inženýrství II
http://localhost/t...ganizacniJednotka	21230

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