A Novel Radial Basis Function Description of a Smooth Implicit Surface for Musculoskeletal Modelling
Volume 35, Issue 4 (2024), pp. 721–750
Pub. online: 16 October 2024
Type: Research Article
Open Access
Open Access
Received
1 June 2024
1 June 2024
Accepted
1 September 2024
1 September 2024
Published
16 October 2024
16 October 2024
Abstract
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.
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Biographies
Cervenka Martin
M. Červenka is a computer science doctoral student at West Bohemia University, Pilsen, Czech Republic. He earned his master’s in computer science from West Bohemia University, Pilsen, Czech Republic, in 2019. During this period, his research focused on muscle modelling approaches, radial basis function interpolation, and approximation techniques. He is affiliated with West Bohemia University and continues to be deeply engaged in applying radial basis functions in muscle modelling.
Kohout Josef
J. Kohout is an associate professor in computer science at West Bohemia University, Pilsen, Czech Republic. His expertise lies in the field of computer graphics and medical informatics. He possesses a skill set encompassing mesh processing, data visualisation, scientific visualisation, medical image processing, simulation, and more. Currently, his research is focused on diverse muscle modelling methodologies.
Lipus Bogdan
B. Lipuš is an assistant professor at the Faculty of Electrical Engineering and Computer Sciences, University of Maribor. Currently, he is a member of the Laboratory for Geospatial Modelling, Multimedia and Artificial Intelligence. His research interests include lidar data processing, remote sensing, data compression, computer graphics, computer-aided geometric design, and image reconstruction.
