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An approach to construct a three-dimensional isogeometric model from μ-CT scan data with an application to the bridge of a violin

Marschke S, Wunderlich L, Ring W, Achterhold K, Pfeiffer F (2020)

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Publication Type: Journal article

Publication year: 2020

Journal

Book Volume: 78

Article Number: 101815

DOI: 10.1016/j.cagd.2020.101815

Abstract

We present an algorithm to build a ready to use isogeometric model from scan data gained by a μ-CT scan. Based on a three-dimensional multi-patch reference geometry, which includes the major topological features, we fit the outline, then the cross-section and finally the three-dimensional geometry. The key step is to fit the outline, where a non-linear least squares problem is solved with a Gauss-Newton approach presented by Borges and Pastva (2002). We extend this approach by a regularisation and a precise interpolation of selected data points. The resulting NURBS geometry is ready for applying isogeometric analysis tools for efficient numerical simulations. As a particular example we examine the scan data of a violin bridge and present the complete workflow from the μ-CT scan up to the numerical simulation based on isogeometric mortar methods. We illustrate the relevance of the constructed geometry with a vibro-acoustical application.

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How to cite

APA:

Marschke, S., Wunderlich, L., Ring, W., Achterhold, K., & Pfeiffer, F. (2020). An approach to construct a three-dimensional isogeometric model from μ-CT scan data with an application to the bridge of a violin. Computer Aided Geometric Design, 78. https://doi.org/10.1016/j.cagd.2020.101815

MLA:

Marschke, Sandra, et al. "An approach to construct a three-dimensional isogeometric model from μ-CT scan data with an application to the bridge of a violin." Computer Aided Geometric Design 78 (2020).

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