2019 Sixth Indian Control Conference (ICC) 2019
DOI: 10.1109/icc47138.2019.9123182
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Optimal tool path planning for 3D printing with spatio-temporal and thermal constraints

Abstract: In this paper, we address the problem of synthesizing optimal path plans in 2D subject to spatio-temporal and thermal constraints. Our solution consists of reducing the path planning problem to a Mixed Integer Linear Programming (MILP) problem. The challenge is in encoding the "implication" constraints in the path planning problem using only conjunctions that are permitted by the MILP formulation. Our experimental analysis using an implementation of the encoding in a Python toolbox demonstrates the feasibility… Show more

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Cited by 5 publications
(5 citation statements)
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References 28 publications
(29 reference statements)
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“…The liquid crystal spinning of silks was modelled by using nematodynamics, nematostatics, and interfacial thermodynamics, and the resulting semi-quantitative prediction was consistent with the birefringence observed in the native spinning gland [ 55 ]. 3D printing is one of the more recent developments in LCE manufacturing, and it has a variety of advantages, including the ability to construct a wide range of geometries, as well as precise spatial deposition and temporal control [ 56 ]. In many ways, this technique shares similarities with silk-spinning.…”
Section: Biomedical Advances Inspired By Lcesmentioning
confidence: 99%
“…The liquid crystal spinning of silks was modelled by using nematodynamics, nematostatics, and interfacial thermodynamics, and the resulting semi-quantitative prediction was consistent with the birefringence observed in the native spinning gland [ 55 ]. 3D printing is one of the more recent developments in LCE manufacturing, and it has a variety of advantages, including the ability to construct a wide range of geometries, as well as precise spatial deposition and temporal control [ 56 ]. In many ways, this technique shares similarities with silk-spinning.…”
Section: Biomedical Advances Inspired By Lcesmentioning
confidence: 99%
“…Another problem studied in automated planning is the complete Coverage Path-Planning (CPP) problem, where the objective is to find an optimal or quasi-optimal path that covers every area in the region (we call such a path a complete coverage path of the region). This problem has many practical applications, such as: a) robotic vacuum-cleaning ( Viet et al., 2013 ; Yakoubi and Laskri, 2016 ; Edwards and Sörme, 2018 ; Liu et al., 2018 ); b) underwater autonomous vehicles (AUVs) ( Zhu et al., 2019 ; Han et al., 2020 ; Yordanova and Gips, 2020 ); c) 3d printing using fused deposition modeling ( Lechowicz et al., 2016 ; Afzal et al., 2019 ; Gupta, 2021 ); d) window washer robots ( Farsi et al., 1994 ; Dr.; John Dhanaseely and Srinivasan, 2021 ); e) disinfection of regions ( Conroy et al., 2021 ; Nasirian et al., 2021 ; Vazquez-Carmona et al., 2022 ); f) minesweeping ( Healey, 2001 ; Williams, 2010 ; Ðakulovic and Petrovic, 2012 ); g) agriculture and farming ( Oksanen and Visala, 2009 ; Jin, 2010 ; Santos et al., 2020 ); h) surveillance drones ( Ahmadzadeh et al., 2008 ; Modares et al., 2017 ; Vasquez-Gomez et al., 2018 ); i) search and rescue aerial drones ( Hayat et al., 2020 ; Ai et al., 2021 ; Cho et al., 2021 ). …”
Section: Introductionmentioning
confidence: 99%
“…c) 3d printing using fused deposition modeling ( Lechowicz et al., 2016 ; Afzal et al., 2019 ; Gupta, 2021 );…”
Section: Introductionmentioning
confidence: 99%
“…Steuben et al use level sets of fields over the geometry to determine toolpaths for additive manufacturing but does not provide a framework for explicitly optimizing an objective function 22 . Afzal et al devise a mixed integer linear program for path planning, but impose linear constraints on the temperature field rather than attempting to optimize functions of it 23 …”
Section: Introductionmentioning
confidence: 99%
“…22 Afzal et al devise a mixed integer linear program for path planning, but impose linear constraints on the temperature field rather than attempting to optimize functions of it. 23 In the Numerical Experiments Section (Section 5), we will pose the problem of determining a high-quality scan strategy as a HTSP, transform it into an E-GTSP, and compute the solution in different settings using an E-GTSP solver as a demonstration of the transformation we introduce here.…”
Section: Introductionmentioning
confidence: 99%