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Spline Interpolation on the Special Orthogonal Group SO(n)

In: Regression and Fitting on Manifold-valued Data

Author

Listed:
  • Ines Adouani

    (University of Sousse, Higher Institute of Applied Sciences and Technology of Sousse (ISSAT))

  • Chafik Samir

    (University of Clermont Auvergne (UCA))

Abstract

In the preceding chapter, we developed and scrutinized a methodology for curve fitting to data on the sphere. The spherical manifold proved advantageous due to its inherent visualizability, enabling an intuitive understanding of the proposed algorithm. While $$\mathbb {S}^{2}$$ S 2 served as an excellent preliminary example to assess the concepts, the need to extend the work to more intricate manifolds becomes imperative to substantiate the complexity of the approach.

Suggested Citation

  • Ines Adouani & Chafik Samir, 2024. "Spline Interpolation on the Special Orthogonal Group SO(n)," Springer Books, in: Regression and Fitting on Manifold-valued Data, chapter 0, pages 49-63, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-61712-6_4
    DOI: 10.1007/978-3-031-61712-6_4
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