DIFFERENCE IN SURFACE FITTING WITH STANDARD AND MATRIX TOPOLOGY
Received: 18th July 2023 Revised: 01st November 2023, 16th November 2023, 24th November 2023 Accepted: 31st July 2023
DOI:
https://doi.org/10.20319/mijst.2024.10.4047Keywords:
Topology, NURBS, Hierarchical Spline, Surface FittingAbstract
This paper presents the impact of the surface topology of the scanned 3D object on parametric fitting. Whether it is a simple NURBS (Non-uniform rational B-spline) or a more complex hierarchical spline version, it is important to apply the fitting procedure. Here we describe the differences between fitting a surface with a given topology as a result of a 3D scanning system and a matrix topology of the surface, where the original surface is replaced by the result of a preset number of sections of the original geometry. We use the matrix and the free-form distribution. The former is more stable with respect to the distribution of the control point, the latter is numerically more suitable. In the future, we plan to adopt the free-form distribution to utilize the advantages of both distributions.
References
Ćurković, M., Ćurković, A., & Vučina, D. (2018). Novel re-parameterization for shape optimization and comparison with knot-based gradient fitting method. Computer Methods in Applied Mechanics and Engineering, 336, 304–332. https://doi.org/10.1016/j.cma.2018.03.018
Ćurković, M., & Vučina, D. (2014). 3D shape acquisition and integral compact representation using optical scanning and enhanced shape parameterization. Advanced Engineering Informatics, 28(2), 111–126. https://doi.org/10.1016/j.aei.2014.01.002
Ćurković, M., Vučina, D., & Ćurković, A. (2017). Enhanced 3D parameterization for integrated shape synthesis by fitting parameter values to point sets. Integrated Computer-Aided Engineering, 24, 241–260. https://doi.org/10.3233/ICA-170541
Giannelli, C., Jüttler, B., Kleiss, S. K., Mantzaflaris, A., Simeon, B., & Špeh, J. (2016). THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 299, 337–365. https://doi.org/10.1016/j.cma.2015.11.002
Hong Qin. (1995). D-NURBS: Dynamic non-uniform rational B-splines, Ph.D. Dissertation.
Lee, A., Moreton, H., & Hoppe, H. (2000). Displaced subdivision surfaces. Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques - SIGGRAPH ’00, 85–94. https://doi.org/10.1145/344779.344829
Li, X., He, F., Cai, X., Zhang, D., & Chen, Y. (2013). A method for topological entity matching in the integration of heterogeneous CAD systems. Integrated Computer-Aided Engineering, 20(1), 15–30. https://doi.org/10.3233/ICA-120416
Marinić-Kragić, I., Vučina, D., & Ćurković, M. (2016). Efficient shape parameterization method for multidisciplinary global optimization and application to integrated ship hull shape optimization workflow. CAD Computer Aided Design, 80. https://doi.org/10.1016/j.cad.2016.08.001
Siqueira, H., Santana, C., Macedo, M., Figueiredo, E., Gokhale, A., & Bastos-Filho, C. (2020). Simplified binary cat swarm optimization. Integrated Computer-Aided Engineering, 28(1), 35–50. https://doi.org/10.3233/ICA-200618
Su, K., Chen, W., Lei, N., Zhang, J., Qian, K., & Gu, X. (2017). Volume preserving mesh parameterization based on optimal mass transportation. Computer-Aided Design, 82, 42–56. https://doi.org/10.1016/j.cad.2016.05.020
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright of Published Articles
Author(s) retain the article copyright and publishing rights without any restrictions.
All published work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
