This repository accompanies the SCF 2019 paper "Volumetric Michell Trusses for Parametric Design & Fabrication".

The code takes in as input a) a 3D tetrahedral mesh, and b) Dirichlet (fixed points) and Neumann (static loads) boundary conditions, and produces a 3D truss structure whose elements follow the stress field induced by the given boundary conditions.

The solution involves solving for a global R³-valued parametrization on the input mesh, whose isolines are traced to generate the resulting truss. In effect, it means that the truss is composed of end-to-end curves from three mutually-orthogonal familes of curves. Please look at the paper for details. https://doi.org/10.1145/3328939.3328999 or watch the SCF 2019 presentation: https://www.youtube.com/watch?v=Ndh_BBQNhoY.

Simply clone the repository to install.

git clone https://github.com/rarora7777/VolumetricTruss

The provided MATLAB code depends on the following packages.

1. GAUSS
2. gptoolbox
3. MATLAB. We have primarily tested with the versions R2018a and R2018b.

The code has been tested on Windows with MSVC2015 and MSVC2017 and on Mac OS with clang.

This code is available under the MIT license.

Please see exampleUsage.m for example usage. Use batchResults.m to generate all the results provided in the paper.

If you utilize this code or dataset for a publication, please cite

@inproceedings{Arora:michell:scf:2019,
 author = {Arora, Rahul and Jacobson, Alec and Langlois, Timothy R. and Huang, Yijiang 
 and Mueller, Caitlin and Matusik, Wojciech and Shamir, Ariel and 
 Singh, Karan and Levin, David I.W.},
 title = {Volumetric Michell Trusses for Parametric Design \& Fabrication},
 booktitle = {Proceedings of the 3rd ACM Symposium on Computation Fabrication},
 series = {SCF '19},
 year = {2019},
 location = {Pittsburgh, PA, USA},
 numpages = {13},
 publisher = {ACM},
 address = {New York, NY, USA}
}