Continuous Representation based Internal Self-supporting Structure via Ellipsoid Hollowing for 3D Printing

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dc.contributor.authorWang, Shengfaen_US
dc.contributor.authorYang, Junen_US
dc.contributor.authorHu, Jiangbeien_US
dc.contributor.authorLei, Naen_US
dc.contributor.authorLuo, Zhongxuanen_US
dc.contributor.authorLiu, Ligangen_US
dc.contributor.editorChen, Renjieen_US
dc.contributor.editorRitschel, Tobiasen_US
dc.contributor.editorWhiting, Emilyen_US
dc.date.accessioned2024-10-13T18:04:11Z
dc.date.available2024-10-13T18:04:11Z
dc.date.issued2024
dc.description.abstractHollowing is an effective way to achieve lightweight objectives by removing material from the interior volume while maintaining feasible mechanical properties. However, hollowed models often necessitate the use of additional support materials to prevent collapse during the printing process, which can substantially negate the benefits of weight reduction. We introduce a framework for designing and optimizing self-supporting infill cavities, which are represented and optimized directly using continuous functions based on ellipsoids. Ellipsoids are favored as filling structures due to their advantageous properties, including their self-supporting nature, precise mathematical definability, variable controllability, and stress concentration mitigation capabilities. Thanks to the explicit definability, we formulate the creation of self-supporting infill cavities as a structural stiffness optimization problem using function representations. The utilization of function representation eliminates the necessity for remeshing to depict structures and shapes, thereby enabling the direct computation of integrals and gradients on the functions. Based on the representations, we propose an efficient optimization strategy to determine the shapes, positions, and topology of the infill cavities, with the goal of achieving multiple objectives, including minimizing material cost, maximizing structural stiffness, and ensuring self-supporting. We perform various experiments to validate the effectiveness and convergence of our approach. Moreover, we demonstrate the self-supporting and stability of the optimized structures through actual 3D printing trials and real mechanical testing.en_US
dc.description.sectionheadersGeometric Processing II
dc.description.seriesinformationPacific Graphics Conference Papers and Posters
dc.identifier.doi10.2312/pg.20241291
dc.identifier.isbn978-3-03868-250-9
dc.identifier.pages12 pages
dc.identifier.urihttps://doi.org/10.2312/pg.20241291
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/pg20241291
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Computing methodologies → Shape analysis; Mesh geometry models; Parametric curve and surface models
dc.subjectComputing methodologies → Shape analysis
dc.subjectMesh geometry models
dc.subjectParametric curve and surface models
dc.titleContinuous Representation based Internal Self-supporting Structure via Ellipsoid Hollowing for 3D Printingen_US
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