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Using the Bezier Curve and Particle Swarm Optimization in Trajectory Planning for Overhead Cranes to Suppress the Payloads' Residual Swing

Huasen Liu, Wenming Cheng
2018 Mathematical Problems in Engineering  
The dynamic equation for an overhead crane is discredited, and a five-order Bezier curve is generated as the trolley's displacement.  ...  This paper proposes a trajectory planning approach which uses the Bezier curve and particle swarm optimizer (PSO-BC) to limit the residual swing of a payload.  ...  Acknowledgments The authors are enormously grateful for the support of the National Natural Science Foundation of China (Grants no. 51175442 and no. 51205328) and the applied basic research projects of  ... 
doi:10.1155/2018/3129067 fatcat:isbcu5islzho5autjayyyyf5mu

De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application [article]

Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz
2024 arXiv   pre-print
For decades, de Casteljau's algorithm has been used as a fundamental building block in curve and surface design and has found a wide range of applications in fields such as scientific computing, and discrete  ...  With increasing interest in nonlinear data science, its constructive approach has been shown to provide a principled way to generalize parametric smooth curves to manifolds.  ...  Several traditional applications of Bézier curves can also be found for their manifoldvalued generalizations: They have been used, e.g., for curve modeling (Morera et al., 2008; Sharp and Crane, 2020;  ... 
arXiv:2402.07550v1 fatcat:eir3quzdkncylirsafcvylzicy

Shape from sensors: Curve networks on surfaces from 3D orientations

Tibor Stanko, Stefanie Hahmann, Georges-Pierre Bonneau, Nathalie Saguin-Sprynski
2017 Computers & graphics  
We test the performance of the method using two types of acquisition devices: a standard smartphone, and a custom-made device.  ...  Abstract We present a novel framework for acquisition and reconstruction of 3D curves using orientations provided by inertial sensors.  ...  Definitions and input data Given a smooth connected 2-manifold surface S ⊂ E 3 , we consider a collection Γ of G 1 smooth curves embedded on S (Γ is therefore a topological subspace of S).  ... 
doi:10.1016/j.cag.2017.05.013 fatcat:zrkglkvgajhrxda3hyflmax2oy

Post-processing and visualization techniques for isogeometric analysis results

Annette Stahl, Trond Kvamsdal, Christian Schellewald
2017 Computer Methods in Applied Mechanics and Engineering  
This is achieved by facilitating the same mathematical function space used for geometry and analysis also for post-processing and visualization purposes.  ...  Isogeometric Analysis (IGA) introduced in 2005 by Hughes et al. (2005) [1] exploits one mathematical basis representation for computer aided design (CAD), geometry and analysis during the entire engineering  ...  The authors thank in particular Kjetil Johannessen and Mukesh Kumar for many fruitful discussions and suggestions that have improved the manuscript.  ... 
doi:10.1016/j.cma.2016.10.040 fatcat:if2uyoutlzhuxislqse2ujzvsy

Hex-Mesh Generation and Processing: a Survey [article]

Nico Pietroni, Marcel Campen, Alla Sheffer, Gianmarco Cherchi, David Bommes, Xifeng Gao, Riccardo Scateni, Franck Ledoux, Jean-Francois Remacle, Marco Livesu
2022 arXiv   pre-print
In this article, we provide a detailed survey of techniques for hexahedral mesh generation.  ...  We cover the whole spectrum of alternative approaches to mesh generation, as well as post processing algorithms for connectivity editing and mesh optimization.  ...  Zhang and colleagues [2007] exploit the particular shape of the vascular structure to devise a method that uses the curve skeleton as a basis for the meshing.  ... 
arXiv:2202.12670v1 fatcat:ze2zfkgxhrgjnp2jm77wvgwvim

Repulsive Curves [article]

Christopher Yu, Henrik Schumacher, Keenan Crane
2020 arXiv   pre-print
In contrast to local collision detection strategies used in, e.g., physical simulation, this energy considers interactions between all pairs of points, and is hence useful for global shape optimization  ...  The energy is easily integrated with a variety of constraints and penalties (e.g., inextensibility, or obstacle avoidance), which we use for applications including curve packing, knot untangling, graph  ...  Self-Avoiding Splines Beyond standard Bézier input, sophisticated tools have been developed for drawing spline curves-but do not consider the basic constraint of ensuring that curves do not cross themselves  ... 
arXiv:2006.07859v1 fatcat:ruutz53ywrgandzkix3u4h5xia

NeuralTailor: Reconstructing Sewing Pattern Structures from 3D Point Clouds of Garments [article]

Maria Korosteleva, Sung-Hee Lee
2022 arXiv   pre-print
We propose to use a garment sewing pattern, a realistic and compact garment descriptor, to facilitate the intrinsic garment shape estimation.  ...  Another major challenge is a high diversity of shapes and designs in the domain.  ...  We model a panel as a sequence of edges -smooth segments of a closed piece-wise curve -with every edge being either a straight line or a quadratic Bezier spline, similarly to their representation in the  ... 
arXiv:2201.13063v1 fatcat:v47zzy5ukvf4bd2c6xkav2y2sa

2021 Index IEEE/ASME Transactions on Mechatronics Vol. 26

2021 IEEE/ASME transactions on mechatronics  
The Author Index contains the primary entry for each item, listed under the first author's name.  ...  ., +, TMECH Feb. 2021 66-77 Optimal Design and Implementation of a Novel Two-Dimensional Electromagnetic Navigation System That Allows Focused Heating of Magnetic Nanoparticles.  ...  ., +, TMECH Oct. 2021 2664-2675 Optimal Design and Implementation of a Novel Two-Dimensional Electromagnetic Navigation System That Allows Focused Heating of Magnetic Nanoparticles.  ... 
doi:10.1109/tmech.2022.3141226 fatcat:xzamfdzhofblrdegiw7iqkjffq

On Aronsson Equation and Deterministic Optimal Control

Pierpaolo Soravia
2008 Applied Mathematics and Optimization  
The methodology uses a Piecewise Linear (PWL) approximation of the Ordinary Differential Equations (ODEs) vector field which describes the dynamics of a system parameterized by the control inputs in order  ...  Optimal strategy for each player is obtained using Maximum Principle and is also recognized as Stackelberg equilibrium.  ...  The method is illustrated by the adaptive optimal control of the classical inverted pendulum and a crane system.  ... 
doi:10.1007/s00245-008-9048-7 fatcat:kihxqtczfzdn5pbmvsd42axbk4

B/Surf: Interactive Bézier Splines on Surfaces [article]

Claudio Mancinelli, Giacomo Nazzaro, Fabio Pellacini, Enrico Puppo
2021 arXiv   pre-print
smoothness.  ...  For both schemes, we present algorithms for curve tracing, point evaluation, and point insertion.  ...  CONCLUDING REMARKS We propose methods for interactively drawing and editing of Bézier curves on meshes of millions of triangles, without any limitation on the curve shape and extension of control polygons  ... 
arXiv:2102.05921v2 fatcat:mnrnfl2kuvcdzctin6tjv52cqa

A Comparative Study of Real-Time Implementable Cooperative Aerial Manipulation Systems [article]

Stamatina C. Barakou, Costas S. Tzafestas, Kimon P. Valavanis
2024 arXiv   pre-print
Moreover, the survey provides a guide to develop the next generation of prototype systems based on preferred characteristics, functionality, operability and application domain.  ...  The outcome of the survey allows for understanding the motivation and rationale to develop such systems, their applicability and implementability in diverse applications and also challenges that need to  ...  International Conference on Unmanned Aircraft Systems (ICUAS).  ... 
arXiv:2403.14347v1 fatcat:lyeetjf25jghzh7rq2obdmpc5y

Modeling, Simulation, and Vision-/MPC-Based Control of a PowerCube Serial Robot

Jörg Fehr, Patrick Schmid, Georg Schneider, Peter Eberhard
2020 Applied Sciences  
A semi-automatic trajectory planning is used to perform two meaningful experimental studies in which the advantages and restrictions of the proposed (vision-based) linear time-varying MPC scheme are pointed  ...  A model predictive control (MPC) scheme for a Schunk PowerCube robot is derived in a structured step-by-step procedure.  ...  law for the considered rotary units.  ... 
doi:10.3390/app10207270 fatcat:2qgvujdf3ffgldul226qcu7jne

A Survey of Algorithms for Geodesic Paths and Distances [article]

Keenan Crane, Marco Livesu, Enrico Puppo, Yipeng Qin
2020 arXiv   pre-print
Numerical computation of shortest paths or geodesics on curved domains, as well as the associated geodesic distance, arises in a broad range of applications across digital geometry processing, scientific  ...  In spite of the difficulty of this problem, recent literature has developed a wide variety of sophisticated methods that enable rapid queries of geodesic information, even on relatively large models.  ...  These two problems interact of course: for instance, one can use the exact polyhedral distance to approximate the true smooth Fig. 1 .  ... 
arXiv:2007.10430v1 fatcat:3agdtrziqrhyjnr3tceltdkidm

SKETCHBOOK

Luísa Mendes Tavares, Danielle Spada Tavares
2018 Boletim da Aproged  
A alta tecnologia e a popularização das ferramentas digitais contribuíram para que os alunos cada vez mais conhecessem e aproveitassem essas técnicas.  ...  O artigo discute a instrumentalização de um recém-chegado ao ensino superior em design, a partir do estudo de caso de práticas didáticas utilizadas na disciplina Laboratório de Criação da Universidade  ...  Using the example of a sphere, the problem is clearly visible (Fig. 1 ). A sphere is defined as a cropped tetragonal Bezier patch where two opposite sides are reduced to a 0 length curve.  ... 
doi:10.24840/2184-4933_2018-0034_0017 fatcat:bp2zm4r5vnaele3dqzt6xz7zny

Robotic origami folding

Devin J. Balkcom, Matthew T. Mason
2008 The international journal of robotics research  
Origami, the human art of paper sculpture, is a fresh challenge for the field of robotic manipulation, and provides a concrete example for many difficult and general manipulation problems.  ...  This thesis will present some initial results, including the world's first origami-folding robot, some new theorems about foldability, definition of a simple class of origami for which I have designed  ...  The authors were able to use their system to virtually fold a crane and a paper airplane.  ... 
doi:10.1177/0278364908090235 fatcat:bydgftiwona3xcp4j2eknt4uhy
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