Spline Interpolation on the Special Orthogonal Group SO(n)

Ines Adouani and Chafik Samir ()
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Ines Adouani: University of Sousse, Higher Institute of Applied Sciences and Technology of Sousse (ISSAT)
Chafik Samir: University of Clermont Auvergne (UCA)

Chapter Chapter 4 in Regression and Fitting on Manifold-valued Data, 2024, pp 49-63 from Springer

Abstract: 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.

Date: 2024
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DOI: 10.1007/978-3-031-61712-6_4

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