Plane Space Representation in Context of Mode-Based Symmetry Plane Detection

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43958975" target="_blank" >RIV/49777513:23520/20:43958975 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007%2F978-3-030-50426-7_38" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-50426-7_38</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-50426-7_38" target="_blank" >10.1007/978-3-030-50426-7_38</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Plane Space Representation in Context of Mode-Based Symmetry Plane Detection

Popis výsledku v původním jazyce

This paper describes various representations of the space of planes. The main focus is on the plane space representation in the symmetry plane detection in E3 where many candidate planes for many pairs of points of the given object are created and then the most often candidate is found as a mode in the candidate space, so-called Mode-based approach. The result depends on the representation used in the mode-seeking process. The most important aspect is how well distances in the space correspond to similarities of the actual planes with respect to the input object. So, we describe various usable distance functions and compare them both theoretically and practically. The results suggest that, when using the Mode-based approach, representing planes by reflection transformations is the best way but other simpler representations are applicable as well. On the other hand, representations using 3D dual spaces are not very appropriate. Furthermore, we introduce a novel way of representing the reflection transformations using dual quaternions

Název v anglickém jazyce

Plane Space Representation in Context of Mode-Based Symmetry Plane Detection

Popis výsledku anglicky

This paper describes various representations of the space of planes. The main focus is on the plane space representation in the symmetry plane detection in E3 where many candidate planes for many pairs of points of the given object are created and then the most often candidate is found as a mode in the candidate space, so-called Mode-based approach. The result depends on the representation used in the mode-seeking process. The most important aspect is how well distances in the space correspond to similarities of the actual planes with respect to the input object. So, we describe various usable distance functions and compare them both theoretically and practically. The results suggest that, when using the Mode-based approach, representing planes by reflection transformations is the best way but other simpler representations are applicable as well. On the other hand, representations using 3D dual spaces are not very appropriate. Furthermore, we introduce a novel way of representing the reflection transformations using dual quaternions

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Computational Science – ICCS 2020

ISBN

978-3-030-50425-0

ISSN

0302-9743

e-ISSN

—

Počet stran výsledku

15

Strana od-do

509-523

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Amsterdam, Nizozemsko

Datum konání akce

3. 6. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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