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Hermite Parametric Bicubic Patch Defined by the Tensor Product

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Computational Science and Its Applications – ICCSA 2022 (ICCSA 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13376))

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Abstract

Bicubic parametric plates are essential for many geometric applications, especially for CAD/CAM systems used in the automotive industry, mechanical and civil engineering applications. Usually the Hermite, Bézier, Coons or NURBS plates are used. There is always a problem to explain how the Hermit bicubic plate is constructed. This contribution describes a novel formal approach to Hermite bi-cubic plate construction using the tensor product.

Research supported by the University of West Bohemia - Institutional research support.

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Acknowledgement

The author would like to thank colleagues at the University of West Bohemia for hints provided, to students and colleagues at the University of West Bohemia, Plzen and VSB-Technical University, Ostrava for their recent suggestions, to anonymous reviewers for their critical comments and recommendations that improved this paper significantly.

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Authors and Affiliations

  1. Faculty of Applied Sciences, Department of Computer Science and Engineering, University of West Bohemia, 301 00, Pilsen, Czech Republic

    Vaclav Skala

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  1. Vaclav Skala
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Correspondence to Vaclav Skala .

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Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Universidad de Málaga, Malaga, Spain

    Eligius M. T. Hendrix

  4. Monash University, Clayton, VIC, Australia

    David Taniar

  5. Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

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Skala, V. (2022). Hermite Parametric Bicubic Patch Defined by the Tensor Product. In: Gervasi, O., Murgante, B., Hendrix, E.M.T., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2022. ICCSA 2022. Lecture Notes in Computer Science, vol 13376. Springer, Cham. https://doi.org/10.1007/978-3-031-10450-3_18

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  • DOI: https://doi.org/10.1007/978-3-031-10450-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-10449-7

  • Online ISBN: 978-3-031-10450-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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