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Approximating complex curves with simple parametric curves is widely used in CAGD, CG, and CNC. This paper presents an algorithm to compute a certified approximation to a given parametric space curve with cubic B-spline curves. By…

Computational Geometry · Computer Science 2012-03-05 Liyong Shen , Chunming Yuan , Xiao-Shan Gao

This paper presents a smooth trajectory generation method for a four-degree-of-freedom parallel kinematic milling robot. The proposed approach integrates B-spline and Quaternion interpolation techniques to manage decoupled position and…

Robotics · Computer Science 2026-02-20 Sina Akhbari , Mehran Mahboubkhah

Shape optimization is a challenging task in many engineering fields, since the numerical solutions of parametric system may be computationally expensive. This work presents a novel optimization procedure based on reduced order modeling,…

Numerical Analysis · Mathematics 2018-11-07 Nicola Demo , Marco Tezzele , Gianluca Gustin , Gianpiero Lavini , Gianluigi Rozza

We propose Bidirectional Shape Correspondence (BSC) as a possible improvement on the famous shape contexts (SC) framework. Our proposals derive from the observation that the SC framework enforces a one-to-one correspondence between sample…

Computer Vision and Pattern Recognition · Computer Science 2014-12-23 Abdulrahman Oladipupo Ibraheem

This paper addresses the optimization problem of minimizing non-convex continuous functions, which is relevant in the context of high-dimensional machine learning applications characterized by over-parametrization. We analyze a randomized…

Machine Learning · Computer Science 2025-02-28 Jim Zhao , Aurelien Lucchi , Nikita Doikov

This paper presents a scalable online algorithm to generate safe and kinematically feasible trajectories for quadrotor swarms. Existing approaches rely on linearizing Euclidean distance-based collision constraints and on axis-wise…

Robotics · Computer Science 2023-03-10 Vivek K. Adajania , Siqi Zhou , Arun Kumar Singh , Angela P. Schoellig

We developed and provide AnalyticLC, a novel analytic method and code implementation for dynamical modeling of planetary systems, including non-coplanar interactions, based on a disturbing function expansion to fourth order in…

Earth and Planetary Astrophysics · Physics 2022-02-02 Yair Judkovsky , Aviv Ofir , Oded Aharonson

Mastering dexterous robotic manipulation of deformable objects is vital for overcoming the limitations of parallel grippers in real-world applications. Current trajectory optimisation approaches often struggle to solve such tasks due to the…

Robotics · Computer Science 2024-03-20 Jun Yamada , Shaohong Zhong , Jack Collins , Ingmar Posner

Planetary bodies such as asteroids, comets, and planetary moons are high-value science targets as they hold important information about the formation and evolution of our solar system. However, due to their low-gravity, variable sizes and…

Instrumentation and Methods for Astrophysics · Physics 2019-01-15 Ravi Teja Nallapu , Jekan Thangavelautham

We develop a convolutional regularized least squares ($\texttt{CRLS}$) framework for reduced-order modeling of transonic flows with shocks. Conventional proper orthogonal decomposition (POD) based reduced models are attractive because of…

Fluid Dynamics · Physics 2025-11-27 Muhammad Bilal , Ashwin Renganathan

Recent studies of optimization methods and GNC of spacecraft near small bodies focusing on descent, landing, rendezvous, etc., with key safety constraints such as line-of-sight conic zones and soft landings have shown promising results;…

Optimization and Control · Mathematics 2020-05-22 Steven van Leeuwen

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

In this work, we develop a new method to design energy minimum low-thrust missions (L2-minimization). In the Circular Restricted Three Body Problem, the knowledge of invariant manifolds helps us initialize an indirect method solving a…

Optimization and Control · Mathematics 2016-07-04 Maxime Chupin , Thomas Haberkorn , Emmanuel Trélat

This paper presents a computationally efficient model predictive control formulation that uses an integral Chebyshev collocation method to enable rapid operations of autonomous agents. By posing the finite-horizon optimal control problem…

Robotics · Computer Science 2025-03-26 Deep Parikh , Thomas L. Ahrens , Manoranjan Majji

In this paper, an optimization-based framework for generating estimation-aware trajectories is presented. In this setup, measurement (output) uncertainties are state-dependent and set-valued. Enveloping ellipsoids are employed to…

Optimization and Control · Mathematics 2025-05-13 Aditya Deole , Mehran Mesbahi

Adaptive cubic regularization methods for solving nonconvex problems need the efficient computation of the trial step, involving the minimization of a cubic model. We propose a new approach in which this model is minimized in a low…

Optimization and Control · Mathematics 2024-12-02 Stefania Bellavia , Davide Palitta , Margherita Porcelli , Valeria Simoncini

In this work, we present the results of a ship propeller design optimization campaign carried out in the framework of the research project PRELICA, funded by the Friuli Venezia Giulia regional government. The main idea of this work is to…

Computational Engineering, Finance, and Science · Computer Science 2019-05-24 Andrea Mola , Marco Tezzele , Mahmoud Gadalla , Federica Valdenazzi , Davide Grassi , Roberta Padovan , Gianluigi Rozza

Computer experiments with quantitative and qualitative inputs are widely used to study many scientific and engineering processes. Much of the existing work has focused on design and modeling or process optimization for such experiments.…

Methodology · Statistics 2025-04-30 A. Shahrokhian , X. Deng , C. D. Lin , P. Ranjan , L. Xu

With the development of human space exploration, the space environment is gradually filled with abandoned satellite debris and unknown micrometeorites, which will seriously affect capture motion of space robot. Hence, a novel fast…

Robotics · Computer Science 2021-09-02 Wen Yan , Yicheng Liu

This paper presents a novel spline-based meshing technique that allows for usage of boundary-conforming meshes for unsteady flow and temperature simulations in co-rotating twin-screw extruders. Spline-based descriptions of arbitrary screw…

Numerical Analysis · Mathematics 2020-02-19 Jochen Hinz , Jan Helmig , Matthias Möller , Stefanie Elgeti
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