Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics
Result description
We introduce implementations of several conic fitting algorithms in Geometric algebra for conics. Particularly, we incorporate additional conditions into the optimisation problem, such as centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. We provide mathematical formulation together with the implementation in MATLAB. Finally, we present examples on a sample dataset and offer possible use of the algorithms.
Keywords
Conic fitGeometric algebraClifford algebraCentre positionAxial alignment
The result's identifiers
Result code in IS VaVaI
Result on the web
https://link.springer.com/chapter/10.1007/978-3-030-89029-2_48#aboutcontent
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics
Original language description
We introduce implementations of several conic fitting algorithms in Geometric algebra for conics. Particularly, we incorporate additional conditions into the optimisation problem, such as centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. We provide mathematical formulation together with the implementation in MATLAB. Finally, we present examples on a sample dataset and offer possible use of the algorithms.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Advances in Computer Graphics
ISBN
978-3-030-89028-5
ISSN
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e-ISSN
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Number of pages
13
Pages from-to
645-657
Publisher name
Springer, Cham
Place of publication
Switzerland
Event location
Geneva
Event date
Sep 6, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
OECD FORD
Applied mathematics
Year of implementation
2021