Design and fabrication by example

Schulz, Adriana; Shamir, Ariel; Levin, David; Sitthi‐Amorn, Pitchaya; Matusik, Wojciech

doi:10.1145/2601097.2601127

Cited by 80 publications

(59 citation statements)

References 38 publications

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“…Static soundness has been explored in the context of 3D printing [Langlois et al 2016;Prévost et al 2013;, furniture [Umetani et al 2012], gridshell structures [Pietroni et al 2015], and selfsupporting surfaces [Block and Ochsendorf 2007;de Goes et al 2013;Panozzo et al 2013;Vouga et al 2012]. To reduce manufacturing cost, researchers looked at the use of o -the-shelf parts [Schulz et al 2014], simpli cation of geometric components [Liu et al 2006;Tang et al 2016], and construction using repetitive elements [Fu et al 2010;Huard et al 2014;. In line with these two themes, we study the design of statically sound space structures of minimal volume to reduce production cost.…”

Section: Previous Workmentioning

confidence: 99%

Design and volume optimization of space structures

et al. 2017

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Fig. 1. Le : A statically sound space structure designed and optimized with our framework, motivated by the real architectural project shown in Figure 2. Right: The space structure is constructed with six types of customized beams to minimize the total volume of the material used for beams while maintaining moderate manufacturing complexity. Here, a ho er color indicates a larger beam cross-section area. Our framework automatically determines the optimal cross-section areas of the six types of beams as well as the assignment of beam types.We study the design and optimization of statically sound and materially e cient space structures constructed by connected beams. We propose a systematic computational framework for the design of space structures that incorporates static soundness, approximation of reference surfaces, boundary alignment, and geometric regularity. To tackle this challenging problem, we rst jointly optimize node positions and connectivity through a nonlinear continuous optimization algorithm. Next, with xed nodes and connectivity, we formulate the assignment of beam cross sections as a mixed-integer programming problem with a bilinear objective function and quadratic constraints. We solve this problem with a novel and practical alternating direction method based on linear programming relaxation. The capability and e ciency of the algorithms and the computational framework are validated by a variety of examples and comparisons.

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Section: Previous Workmentioning

confidence: 99%

Design and volume optimization of space structures

et al. 2017

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“…Typically, these approaches optimize object properties to meet a specific functional goal, and often consist of a mix of interactionand numerical optimization-based approaches. Recent work, for example, investigated the design of plush toys [Mori and Igarashi 2007], furniture [Saul et al 2011;Umetani et al 2012;Lau et al 2011;Schulz et al 2014], clothes [Umetani et al 2011], inflatable structures [Skouras et al 2014], wire meshes ], mechanical objects [Koo et al 2014;Zhu et al 2012;Coros et al 2013], and masonry structures [Whiting et al 2012;Vouga et al 2012].…”

Section: Related Workmentioning

confidence: 99%

“…Following the ideas in [Schulz et al 2014], both functional parts and free-form body frames in the database are parametric, represented by a feasible parameter set and a linear mapping function that returns different geometries for different parameter configurations. The use of parametric shapes allows geometric variations while guaranteeing that all shape manipulations preserve structure and manufacturability.…”

Section: Part Databasementioning

confidence: 99%

Computational multicopter design

Du¹,

Schulz²,

Zhu³

et al. 2016

ACM Trans. Graph.

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Figure 1: We provide an interactive system for users to design, optimize and fabricate multicopters. We explore the design space to allow multicopter design with free-form geometry and nonstandard motor positions and directions. Based on user-specified metrics, our system optimizes the copter geometry and suggests a valid controller. Left: a multicopter example with free-form geometry, various motor heights and different propeller sizes. Middle: a pentacopter with optimized motor positions and orientations, allowing 30% increase in payload. Right: a classic hexacopter with three pairs of coaxial propellers. AbstractWe present an interactive system for computational design, optimization, and fabrication of multicopters. Our computational approach allows non-experts to design, explore, and evaluate a wide range of different multicopters. We provide users with an intuitive interface for assembling a multicopter from a collection of components (e.g., propellers, motors, and carbon fiber rods). Our algorithm interactively optimizes shape and controller parameters of the current design to ensure its proper operation. In addition, we allow incorporating a variety of other metrics (such as payload, battery usage, size, and cost) into the design process and exploring tradeoffs between them. We show the efficacy of our method and system by designing, optimizing, fabricating, and operating multicopters with complex geometries and propeller configurations. We also demonstrate the ability of our optimization algorithm to improve the multicopter performance under different metrics.

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“…Umetani et al [2012] develop an interactive system to assist exploration and design of geometrically and physically valid plank-based furniture. A growing body of recent works [Saul et al 2011;Schmidt and Ratto 2013;Schulz et al 2014;Koo et al 2014] propose data-or user-driven approaches to design fabricatable furniture. The key motivation for most of these works is to automate the design process and reduce human effort.…”

Section: Related Workmentioning

confidence: 99%

Foldabilizing furniture

Alhashim

et al. 2015

ACM Trans. Graph.

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We introduce the foldabilization problem for space-saving furniture design. Namely, given a 3D object representing a piece of furniture, our goal is to apply a minimum amount of modification to the object so that it can be folded to save space -the object is thus foldabilized. We focus on one instance of the problem where folding is with respect to a prescribed folding direction and allowed object modifications include hinge insertion and part shrinking.We develop an automatic algorithm for foldabilization by formulating and solving a nested optimization problem operating at two granularity levels of the input shape. Specifically, the input shape is first partitioned into a set of integral folding units. For each unit, we construct a graph which encodes conflict relations, e.g., collisions, between foldings implied by various patch foldabilizations within the unit. Finding a minimum-cost foldabilization with a conflictfree folding is an instance of the maximum-weight independent set problem. In the outer loop of the optimization, we process the folding units in an optimized ordering where the units are sorted based on estimated foldabilization costs. We show numerous foldabilization results computed at interactive speed and 3D-print physical prototypes of these results to demonstrate manufacturability.

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Design and fabrication by example

Cited by 80 publications

References 38 publications

Design and volume optimization of space structures

Design and volume optimization of space structures

Computational multicopter design

Foldabilizing furniture

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