Structural Design Using Laplacian Shells
| dc.contributor.author | Ulu, Erva | en_US |
| dc.contributor.author | McCann, Jim | en_US |
| dc.contributor.author | Kara, Levent Burak | en_US |
| dc.contributor.editor | Bommes, David and Huang, Hui | en_US |
| dc.date.accessioned | 2019-07-11T06:19:16Z | |
| dc.date.available | 2019-07-11T06:19:16Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We introduce a method to design lightweight shell objects that are structurally robust under the external forces they may experience during use. Given an input 3D model and a general description of the external forces, our algorithm generates a structurally-sound minimum weight shell object. Our approach works by altering the local shell thickness repeatedly based on the stresses that develop inside the object. A key issue in shell design is that large thickness values might result in self-intersections on the inner boundary creating a significant computational challenge during optimization. To address this, we propose a shape parametrization based on the solution to the Laplace's equation that guarantees smooth and intersection-free shell boundaries. Combined with our gradient-free optimization algorithm, our method provides a practical solution to the structural design of hollow objects with a single inner cavity. We demonstrate our method on a variety of problems with arbitrary 3D models under complex force configurations and validate its performance with physical experiments. | en_US |
| dc.description.number | 5 | |
| dc.description.sectionheaders | Modeling and Deformation | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 38 | |
| dc.identifier.doi | 10.1111/cgf.13791 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 85-98 | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.13791 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf13791 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.subject | Computing methodologies | |
| dc.subject | Shape analysis | |
| dc.subject | Mesh models | |
| dc.subject | Applied computing | |
| dc.subject | Computer | |
| dc.subject | aided design | |
| dc.title | Structural Design Using Laplacian Shells | en_US |