1. Closed space‐filling curves with controlled orientation for 3D printing.
- Author
-
Bedel, A., Coudert‐Osmont, Y., Martínez, J., Nishat, R. I., Whitesides, S., and Lefebvre, S.
- Subjects
THREE-dimensional printing ,DISTRIBUTION (Probability theory) ,HAMILTONIAN graph theory ,STOCHASTIC processes ,COMPUTER-aided design - Abstract
We explore the optimization of closed space‐filling curves under orientation objectives. By solidifying material along the closed curve, solid layers of 3D prints can be manufactured in a single continuous extrusion motion. The control over orientation enables the deposition to align with specific directions in different areas, or to produce a locally uniform distribution of orientations, patterning the solidified volume in a precisely controlled manner. Our optimization framework proceeds in two steps. First, we cast a combinatorial problem, optimizing Hamiltonian cycles within a specially constructed graph. We rely on a stochastic optimization process based on local operators that modify a cycle while preserving its Hamiltonian property. Second, we use the result to initialize a geometric optimizer that improves the smoothness and uniform coverage of the cycle while further optimizing for alignment and orientation objectives. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF