The Adaptive Hermite Fractal Tree (AHFT): a novel surgical 3D path planning approach with curvature and heading constraints

M Pinzi, S Galvan, F Rodriguez y Baena - International journal of …, 2019 - Springer
Purpose In the context of minimally invasive neurosurgery, steerable needles such as the
one developed within the Horizon2020-funded EDEN2020 project (Frasson et al. in Proc …

Computing Lagrangian coherent structures from their variational theory

M Farazmand, G Haller - Chaos: An Interdisciplinary Journal of …, 2012 - pubs.aip.org
Using the recently developed variational theory of hyperbolic Lagrangian coherent
structures (LCSs), we introduce a computational approach that renders attracting and …

A realtime curvature-smooth interpolation scheme and motion planning for CNC machining of short line segments

W Fan, CH Lee, JH Chen - International Journal of Machine Tools and …, 2015 - Elsevier
G01 codes generated by CAM (Computer Aided Manufacturing) system are the most
common form of tool path in CNC (Computer Numerical Control) machining. For the …

Map-based long term motion prediction for vehicles in traffic environments

D Petrich, T Dang, D Kasper, G Breuel… - 16th International IEEE …, 2013 - ieeexplore.ieee.org
Depending on driver intention and current motion state of vehicle, an infinite set of possible
future trajectories exists. In this paper we present a stochastic filter which is able to select a …

Computational design of cold bent glass façades

K Gavriil, R Guseinov, J Pérez, D Pellis… - ACM Transactions on …, 2020 - dl.acm.org
Cold bent glass is a promising and cost-efficient method for realizing doubly curved glass
façades. They are produced by attaching planar glass sheets to curved frames and must …

Construction of G1 planar Hermite interpolants with prescribed arc lengths

RT Farouki - Computer Aided Geometric Design, 2016 - Elsevier
The problem of constructing a plane polynomial curve with given end points and end
tangents, and a specified arc length, is addressed. The solution employs planar quintic …

Geometric construction of energy-minimizing Béezier curves

G Xu, GZ Wang, WY Chen - Science China Information Sciences, 2011 - Springer
Modeling energy-minimizing curves have many applications and are a basic problem of
Geometric Modeling. In this paper, we propose the method for geometric design of energy …

Planar cubic G1 and quintic G2 Hermite interpolations via curvature variation minimization

L Lu, C Jiang, Q Hu - Computers & Graphics, 2018 - Elsevier
Given two data points and the associated unit tangents, cubic G 1 Hermite interpolation is a
simple and efficient scheme to construct fair curves by optimizing certain energy functionals …

When to make a step? tackling the timing problem in multi-contact locomotion by topp-mpc

S Caron, QC Pham - 2017 IEEE-RAS 17th International …, 2017 - ieeexplore.ieee.org
We present a model predictive controller (MPC) for multi-contact locomotion where
predictive optimizations are realized by time-optimal path parameterization (TOPP). A key …

Enhanced tunicate swarm algorithm for optimizing shape of C2 RQI-spline curves

G Hu, J Zheng, X Ji, X Qin - Engineering Applications of Artificial …, 2023 - Elsevier
The shape optimization of interpolation curves is a crucial and intractable technique in
scientific visualization, data analysis, manufacturing and computer-aided design and is …