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Density Matrix Generation for 3D Printing

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A system for creating a rectangular-cuboid periodic matrix for rendering a variable density 3D print is described. This is important for applications where the interior of manufactured objects require less material or weight while still maintaining strength. The matrix elements are grown from a line-based skeleton lattice using a "Line Dilation Algorithm". The method is computationally efficient allowing the design of large matrices to match the resolution and aspect ratio of the 3D printer. A voxel-based halftone model uses the resulting threshold arrays, allowing continuously varying densities. While the method is quite general, the very strong tetrahedral-octahedral lattice is detailed; rendering this triangular structure is made possible by reducing it to a simple rectangular period. Also, rendering constraints preserve structural integrity for multiscale lattices by guaranteeing strut-to-strut connectivity.
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Document Type: Research Article

Publication date: November 1, 2017

More about this publication?
  • For more than 30 years, IS&T's series of digital printing conferences have been the leading forum for discussion of advances and new directions in 2D and 3D printing technologies. A comprehensive, industry-wide conference that brings together industry and academia, this meeting includes all aspects of the hardware, materials, software, images, and applications associated with digital printing systems?particularly those involved with additive manufacturing and fabrication?including bio-printing, printed electronics, page-wide, drop-on-demand, desktop and continuous ink jet, toner-based systems, and production digital printing, as well as the engineering capability, optimization, and science involved in these fields. In 2016, the conference changed its name formally to Printing for Fabrication to better reflect the content of the meeting and the evolving technology of printing.

    Please note: For purposes of its Digital Library content, IS&T defines Open Access as papers that will be downloadable in their entirety for free in perpetuity. Copyright restrictions on papers vary; see individual paper for details.

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