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Smooth and Discrete Cone-Nets

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Bibliographic Details
Main Authors: Martin, Kilian, Christian, Müller, Jonas, Tervooren
Format: Book
Language:English
Published: Springer 2023
Subjects:
Cone-nets
corresponding conjugate curve network
Online Access:https://link.springer.com/article/10.1007/s00025-023-01884-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7497
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spelling oai:localhost:PNK-74972023-04-04T07:40:06Z Smooth and Discrete Cone-Nets Martin, Kilian Christian, Müller Jonas, Tervooren Cone-nets corresponding conjugate curve network CC BY Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential contact with the surface. The corresponding conjugate curve network is projectively invariant and is characterized by the existence of particular transformations. We study properties of that transformation theory and illustrate how several known surface classes appear within our framework. We present cone-nets in the classical smooth setting of differential geometry as well as in the context of a consistent discretization with counterparts to all relevant statements and notions of the smooth setting. 2023-04-04T07:40:06Z 2023-04-04T07:40:06Z 2023 Book https://link.springer.com/article/10.1007/s00025-023-01884-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7497 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Cone-nets
corresponding conjugate curve network
spellingShingle Cone-nets
corresponding conjugate curve network
Martin, Kilian
Christian, Müller
Jonas, Tervooren
Smooth and Discrete Cone-Nets
description CC BY
format Book
author Martin, Kilian
Christian, Müller
Jonas, Tervooren
author_facet Martin, Kilian
Christian, Müller
Jonas, Tervooren
author_sort Martin, Kilian
title Smooth and Discrete Cone-Nets
title_short Smooth and Discrete Cone-Nets
title_full Smooth and Discrete Cone-Nets
title_fullStr Smooth and Discrete Cone-Nets
title_full_unstemmed Smooth and Discrete Cone-Nets
title_sort smooth and discrete cone-nets
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00025-023-01884-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7497
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score 8.891787

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