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A Novel Radial Basis Function Description of a Smooth Implicit Surface for Musculoskeletal Modelling
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DOI：10.15388/24-INFOR571.png)
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Abstract
En 中文
As musculoskeletal illnesses continue to increase, practical computerised muscle modelling is crucial. This paper addresses this concern by proposing a mathematical model for a dynamic 3D geometrical surface representation of muscles using a Radial Basis Function (RBF) approximation technique. The objective is to obtain a smoother surface while minimising data use, contrasting it from classical polygonal (e.g. triangular) surface mesh models or volumetric (e.g. tetrahedral) mesh models. The paper uses RBF implicit surface description to describe static surface generation and dynamic surface deformations based on its spatial curvature preservation during the deformation. The novel method is tested on multiple data sets, and the experiments show promising results according to the introduced metrics.
Keywords:
radial basis function
muscle model
gradient descent
curvature
mean curvature
Gaussian RBF
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