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Regression and Fitting on Manifold-valued Data

This book introduces in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds. The methodology has important and varied applications in machine learning, medicine, robotics, biology, computer vision, human biometrics,...

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Detalles Bibliográficos
Autores principales: Adouani, Ines (Autor), Samir, Chafik (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Lenguaje:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edición:1st ed. 2024.
Materias:
Mathematics > Data processing.
Image processing > Digital techniques.
Computer vision.
Engineering mathematics.
Computational Mathematics and Numerical Analysis.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Engineering Mathematics.
Acceso en línea:https://doi.org/10.1007/978-3-031-61712-6
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Tabla de Contenidos:
  • Introduction
  • Spline Interpolation and Fitting in R𝒏
  • Spline Interpolation on the Sphere S𝒏
  • Spline Interpolation on the Special Orthogonal Group 𝑺𝑶(𝒏)
  • Spline Interpolation on Stiefel and Grassmann manifolds
  • Spline Interpolation on the Manifold of Probability Measures
  • Spline Interpolation on the Manifold of Probability Density Functions
  • Spline Interpolation on Shape Space
  • Spline Interpolation on Other Riemannian Manifolds.

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