Connected fermat spirals for layered fabrication

Zhao, Haisen; Gu, Fanglin; Huang, Qixing; Saavedra, Jorge; Chen, Yong; Tu, Changhe; Beneš, Bedřich; Zhang, Hao; Cohen–Or, Daniel; Chen, Baoquan

doi:10.1145/2897824.2925958

Cited by 100 publications

(65 citation statements)

References 28 publications

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“…With the ever-increasing popularity of consumer 3D printers, much research has been devoted to address geometric and physical modeling problems for computational fabrication, including the toolpath generation [8]. In this section, we review techniques related to the optimization of mechanical properties.…”

Section: Related Workmentioning

confidence: 99%

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Aage

Westermann

et al. 2018

IEEE Trans. Visual. Comput. Graphics

391

198

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Porous structures such as trabecular bone are widely seen in nature. These structures are lightweight and exhibit strong mechanical properties. In this paper, we present a method to generate bone-like porous structures as lightweight infill for additive manufacturing. Our method builds upon and extends voxel-wise topology optimization. In particular, for the purpose of generating sparse yet stable structures distributed in the interior of a given shape, we propose upper bounds on the localized material volume in the proximity of each voxel in the design domain. We then aggregate the local per-voxel constraints by their p-norm into an equivalent global constraint, in order to facilitate an efficient optimization process. Implemented on a high-resolution topology optimization framework, our results demonstrate mechanically optimized, detailed porous structures which mimic those found in nature. We further show variants of the optimized structures subject to different design specifications, and we analyze the optimality and robustness of the obtained structures.

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Section: Related Workmentioning

confidence: 99%

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Aage

Westermann

et al. 2018

IEEE Trans. Visual. Comput. Graphics

391

198

View full text Add to dashboard Cite

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“…Then it determines a feasible printing order and orientation to avoid collisions while encouraging smoothness, enabling wireframe printing for a large class of shapes. Zhao et al [ZGH*16] give special attention to continuous printing. Using the proposed method, a tool‐path is planned for printing any connected component with one curve, based on Fermat spirals.…”

Section: Optimization Of the Manufacturing Processmentioning

confidence: 99%

“…On each slice, the shape is typically represented by closed curves (or contours ), or a 2D grid. This representation does not offer accuracy, conciseness or ease of processing, and is usable strictly for guiding the printing process, as can be deduced by its usage [RCM*14, HL14, MIG*14, DHL14, WCT*15, BAU15, ZGH*16].…”

Section: Underlying Representation Analysismentioning

confidence: 99%

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State of the Art in Methods and Representations for Fabrication-Aware Design

Bermano

Funkhouser

Rusinkiewicz

2017

Computer Graphics Forum

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Computational manufacturing technologies such as 3D printing hold the potential for creating objects with previously undreamed‐of combinations of functionality and physical properties. Human designers, however, typically cannot exploit the full geometric (and often material) complexity of which these devices are capable. This STAR examines recent systems developed by the computer graphics community in which designers specify higher‐level goals ranging from structural integrity and deformation to appearance and aesthetics, with the final detailed shape and manufacturing instructions emerging as the result of computation. It summarizes frameworks for interaction, simulation, and optimization, as well as documents the range of general objectives and domain‐specific goals that have been considered. An important unifying thread in this analysis is that different underlying geometric and physical representations are necessary for different tasks: we document over a dozen classes of representations that have been used for fabrication‐aware design in the literature. We analyze how these classes possess obvious advantages for some needs, but have also been used in creative manners to facilitate unexpected problem solutions.

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“…Since the mappings minimize isometric distortion, the mapped curves tend to exhibit low curvature and low variation of distance between windings. Inspired by [Zhao et al 2016], we connect the spirals on the different cylinders into a single, long curve using Fermat spirals (see inset). The shape is then cut along the computed curve to create a single, possibly bifurcated, but not yet developable, ribbon-like surface.…”

Section: Introductionmentioning

confidence: 99%

Shape representation by zippables

2018

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3D model single spiraling curve segmentation developable shape zippable bunny Fig. 1. The pipeline of our approach. Starting from a 3D model, the user decomposes the shape into topological cylinders. Our algorithm automatically produces a single continuous curve on the shape that spirals along the cylinders. It proceeds to cut the shape along the curve and creates a developable surface that can be trivially unfolded into a single 2D shape -the so called zippable. Based on the flattening, plans for laser cutting it from fabric are generated. Finally, we attach a zipper with a single slider to the boundary of the zippable. Zipping it up reproduces a faithful approximation of the input model.Fabrication from developable parts is the basis for arts such as papercraft and needlework, as well as modern architecture and CAD in general, and it has inspired much research. We observe that the assembly of complex 3D shapes created by existing methods often requires first fabricating many small parts and then carefully following instructions to assemble them together. Despite its significance, this error prone and tedious process is generally neglected in the discussion. We present the concept of zippablessingle, two dimensional, branching, ribbon-like pieces of fabric that can be quickly zipped up without any instructions to form 3D objects. Our inspiration comes from the socalled zipit bags [zipit 2017], which are made of a single, long ribbon with a zipper around its boundary. In order to "assemble" the bag, one simply needs to zip up the ribbon. Our method operates in the same fashion, but it can be used to approximate a wide variety of shapes. Given a 3D model, our algorithm produces plans for a single 2D shape that can be laser cut in few parts from fabric or paper. A zipper can then be attached along the boundary by sewing, or by gluing using a custom-built fastening rig. We show physical and virtual results that demonstrate the capabilities of our method and the ease with which shapes can be assembled.

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Connected fermat spirals for layered fabrication

Cited by 100 publications

References 28 publications

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures

State of the Art in Methods and Representations for Fabrication-Aware Design

Shape representation by zippables

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