Expectation maximization for 3D complex geometry modeling

Version 1.0.0 (125 KB) by Hui Yang

Expectation maximization and GMM for statistical estimation and modeling of the multimodal probability distribution function of melt pools

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Updated 8 Jan 2025

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This toolbox includes codes and the example to simulate the emission of photons for statistical estimation and modeling of the multimodal probability distribution function (PDF) of melt pools that are sensed and measured in the Laser powder bed fusion (LPBF) process. LPBF is a key technology of additive manufacturing that enables the fabrication of metal parts with complex geometry through a multi-layer process. Multimodal PDFs provide new characterization of meltpool morphology and geometry that are eminent indicators for manufacturing process stability and part quality.

Author: Runsang Liu and Hui Yang

Affiliation:

The Pennsylvania State University

310 Leohard Building, University Park, PA

Email: yanghui@gmail.com

If you find this toolbox useful, please cite the following paper:

[1] R. Liu and H. Yang. (2023). Multimodal probabilistic modeling of melt pool geometry variations in additive manufacturing. Additive Manufacturing, Vol. 61, p.103375. DOI: 10.1016/j.addma.2022.103375

Cite As

Hui Yang (2025). Expectation maximization for 3D complex geometry modeling (https://www.mathworks.com/matlabcentral/fileexchange/178769-expectation-maximization-for-3d-complex-geometry-modeling), MATLAB Central File Exchange. Retrieved January 26, 2025.

Liu, Runsang, and Hui Yang. “Multimodal Probabilistic Modeling of Melt Pool Geometry Variations in Additive Manufacturing.” Additive Manufacturing, vol. 61, Elsevier BV, Jan. 2023, p. 103375, doi:10.1016/j.addma.2022.103375.

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MATLAB Release Compatibility

Created with R2015b

Compatible with R2015b to R2025a

Platform Compatibility

Windows macOS Linux

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Version	Published	Release Notes
1.0.0	8 Jan 2025		Download

MLA	Liu, Runsang, and Hui Yang. “Multimodal Probabilistic Modeling of Melt Pool Geometry Variations in Additive Manufacturing.” Additive Manufacturing, vol. 61, Elsevier BV, Jan. 2023, p. 103375, doi:10.1016/j.addma.2022.103375.
APA	Liu, R., & Yang, H. (2023). Multimodal probabilistic modeling of melt pool geometry variations in additive manufacturing. Additive Manufacturing, 61, 103375. Elsevier BV. Retrieved from http://dx.doi.org/10.1016/j.addma.2022.103375
BibTeX	@article{Liu_2023, title={Multimodal probabilistic modeling of melt pool geometry variations in additive manufacturing}, volume={61}, ISSN={2214-8604}, url={http://dx.doi.org/10.1016/j.addma.2022.103375}, DOI={10.1016/j.addma.2022.103375}, journal={Additive Manufacturing}, publisher={Elsevier BV}, author={Liu, Runsang and Yang, Hui}, year={2023}, month=jan, pages={103375} }