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Clifford-Valued Fractal Interpolation

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Applied Analysis, Optimization and Soft Computing (ICNAAO 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 419))

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Abstract

In this short note, we merge the areas of hypercomplex algebras with that of fractal interpolation and approximation. The outcome is a new holistic methodology that allows the modeling of phenomena exhibiting a complex self-referential geometry and which require for their description an underlying algebraic structure.

https://www-m15.ma.tum.de/Allgemeines/PeterMassopust.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Munich, Boltzmannstr. 3, 85748, Garching b. Munich, Germany

    Peter R. Massopust

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  1. Peter R. Massopust
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Correspondence to Peter R. Massopust .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

    Tanmoy Som

  2. Department of Mathematical Sciences, Indian Institute of Technology, BHU, Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  3. Research Chair of Graduate Studies, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  4. Faculty of Mathematics and Computer Sci., Babes-Bolyai University, Cluj-Napoca, Romania

    Adrian Petrusel

  5. Department of Mathematics, Banaras Hindu University, Varanasi, India

    Dayaram Sahu

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Massopust, P.R. (2023). Clifford-Valued Fractal Interpolation. In: Som, T., Ghosh, D., Castillo, O., Petrusel, A., Sahu, D. (eds) Applied Analysis, Optimization and Soft Computing. ICNAAO 2021. Springer Proceedings in Mathematics & Statistics, vol 419. Springer, Singapore. https://doi.org/10.1007/978-981-99-0597-3_4

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