Shape interior modeling and mass property optimization using ray-reps

Jun Wu; Lou Kramer; Rüdiger Westermann

doi:10.1016/j.cag.2016.05.003

Shape interior modeling and mass property optimization using ray-reps

Jun Wu
, Lou Kramer
, Rüdiger Westermann

Informatics 15 - Chair of Computer Graphics and Visualization

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We present a novel method for the modeling and optimization of the material distribution inside 3D shapes, such that their 3D printed replicas satisfy prescribed constraints regarding mass properties. In particular, we introduce an extension of ray-representation to shape interior modeling, and prove this parametrization covers the optimal interior regarding static and rotational stability criteria. This compact formulation thoroughly reduces the number of design variables compared to the general volumetric element-wise formulation. We demonstrate the effectiveness of our reduced formulation for optimizing shapes that stably float in liquids or spin around a prescribed axis.

Original language	English
Pages (from-to)	66-72
Number of pages	7
Journal	Computers and Graphics (Pergamon)
Volume	58
DOIs	https://doi.org/10.1016/j.cag.2016.05.003
State	Published - 1 Aug 2016

Keywords

3D printing
Mass properties
Ray-reps
Shape optimization

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10.1016/j.cag.2016.05.003

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title = "Shape interior modeling and mass property optimization using ray-reps",

abstract = "We present a novel method for the modeling and optimization of the material distribution inside 3D shapes, such that their 3D printed replicas satisfy prescribed constraints regarding mass properties. In particular, we introduce an extension of ray-representation to shape interior modeling, and prove this parametrization covers the optimal interior regarding static and rotational stability criteria. This compact formulation thoroughly reduces the number of design variables compared to the general volumetric element-wise formulation. We demonstrate the effectiveness of our reduced formulation for optimizing shapes that stably float in liquids or spin around a prescribed axis.",

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author = "Jun Wu and Lou Kramer and R{\"u}diger Westermann",

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AU - Kramer, Lou

AU - Westermann, Rüdiger

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N2 - We present a novel method for the modeling and optimization of the material distribution inside 3D shapes, such that their 3D printed replicas satisfy prescribed constraints regarding mass properties. In particular, we introduce an extension of ray-representation to shape interior modeling, and prove this parametrization covers the optimal interior regarding static and rotational stability criteria. This compact formulation thoroughly reduces the number of design variables compared to the general volumetric element-wise formulation. We demonstrate the effectiveness of our reduced formulation for optimizing shapes that stably float in liquids or spin around a prescribed axis.

AB - We present a novel method for the modeling and optimization of the material distribution inside 3D shapes, such that their 3D printed replicas satisfy prescribed constraints regarding mass properties. In particular, we introduce an extension of ray-representation to shape interior modeling, and prove this parametrization covers the optimal interior regarding static and rotational stability criteria. This compact formulation thoroughly reduces the number of design variables compared to the general volumetric element-wise formulation. We demonstrate the effectiveness of our reduced formulation for optimizing shapes that stably float in liquids or spin around a prescribed axis.

KW - 3D printing

KW - Mass properties

KW - Ray-reps

KW - Shape optimization

UR - https://www.scopus.com/pages/publications/84971597418

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EP - 72

JO - Computers and Graphics (Pergamon)

JF - Computers and Graphics (Pergamon)

ER -

Shape interior modeling and mass property optimization using ray-reps

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Keywords

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