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Biomechanical simulations with dynamic muscle paths on NURBS surfaces
Author(s) -
Penner Johann,
Leyendecker Sigrid
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900230
Subject(s) - geodesic , work (physics) , shortest path problem , computer science , connection (principal bundle) , path (computing) , anatomy , mathematics , topology (electrical circuits) , geometry , engineering , combinatorics , theoretical computer science , biology , mechanical engineering , graph , programming language
In order to model the behaviour of muscles that work around the joints in musculoskeletal simulations, information about the muscle paths are needed. Typically, musculotendon paths, their lengths, and their force directions are modeled as the shortest connection wrapping around obstacles representing bones and adjacent tissue. In this work, the shortest path problem is described via constrained variational dynamics and is applied to a biomechanical example with muscle paths on non‐uniform rational B‐spline (NURBS) surfaces representing the wrapping obstacles. The results are compared with muscle paths from a G1‐continuous combination of geodesics [2,4,5].