Non-linear least squares fitting of Bézier surfaces to unstructured point clouds

Algorithms for linear and non-linear least squares fitting of Bézier surfaces to unstructured point clouds are derived from first principles. The presented derivation includes the analytical form of the partial derivatives that are required for minimising the objective functions, these have been com...

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Bibliographic Details
Main Authors: Joseph Lifton, Tong Liu, John McBride
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021190?viewType=HTML