As-rigid-as-possible volume tracking for time-varying surfaces

Dvorak, Jan; Káčereková, Zuzana; Vaněček, Petr; Hruda, Lukáš; Váša, Libor

doi:10.1016/j.cag.2021.10.015

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As-rigid-as-possible Surface Modelling1

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2022

2024

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Cited by 6 publications

(1 citation statement)

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“…Wang et al [23] investigated ARAP but chose not to use it due to nonsmooth shapes and spikes in results. ARAP has also found application in time-varying meshes by Dvorak et al [24].…”

Section: As-rigid-as-possible Surface Modellingmentioning

confidence: 99%

A novel radial basis function description of a smooth implicit surface for musculoskeletal modelling

Cervenka,

Kohout,

Lipus

2024

Preprint

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As musculoskeletal illnesses continue to increase, useful 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 novel method is tested on multiple data sets, and the experiments show good results according to the introduced metrics.

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“…Wang et al [23] investigated ARAP but chose not to use it due to nonsmooth shapes and spikes in results. ARAP has also found application in time-varying meshes by Dvorak et al [24].…”

Section: As-rigid-as-possible Surface Modellingmentioning

confidence: 99%