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This paper presents a new method to deal with thermomechanical topology optimisation (TO) problems based on a pseudo-density algorithm reformulated in the context of Non Uniform Rational Basis Spline (NURBS) entities. Specifically, a NURBS entity ...

• General method for thermomechanical topology optimisation problems.
• Density-based algorithm reformulated in NURBS hyper-surfaces framework.
• General problem formulation under mixed non-zero Neumann-Dirichlet boundary conditions.

This work presents a novel path planner, DE3D-NURBS, for 3D path planning considering the maximum and minimum climb/dive angle and the maximum curvature imposed by a robot, such as an autonomous fixed-wing aircraft. To deal with this constrained ...

• Res-U-net was proposed to extract the carrot crack ROI with the best performance.
• The data parameterization of NURBS was optimized by the multi-objective GA.
• The 3D model of carrot crack was obtained by methods of Res-U-net and GA-...

The removal of defects from fruit and vegetable is conducive to improving resource utilization and reducing environmental pollution. However, it has been neglected by researchers. In this study, a novel method based on the deep learning (DL) ...

With the help of the Cox-de Boor recursion formula and the recurrence relation of the Bernstein polynomials, two categories of recursive algorithms for calculating the conversion matrix from an arbitrary non-uniform B-spline basis to a Bernstein ...

• We propose two algorithms to compute the conversion matrix from B-spline basis functions to Bézier polynomials.
• One algorithm computes the entries of the conversion matrix directly by recursion.
• Another algorithm computes the ...

In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solutions for partial differential equations (PDEs) in case of arbitrary geometries while strongly enforcing ...

In this work, we study the effect of the geometry representation in the context of the IsoGeometric-Analysis-based Boundary Element Method (IGABEM) and we propose an algorithm for the construction of a physics-informed geometric representation ...

We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided design (CAD) models, more specifically non-uniform rational B-splines (NURBS). This new algorithm ...

The Least-Squares Progressive-Iterative Approximation (LSPIA) method offers a powerful and intuitive approach for data fitting. Non-Uniform Rational B-splines (NURBS) are a popular choice for approximation functions in data fitting, due to their ...

• We propose Full-LSPIA, a flexible and automatic fitting framework for LSPIA.
• We develop analytical gradient formulations for the weights and knots of NURBS.
• Full-LSPIA enhances the precision in NURBS approximation maintaining fixed ...

In this paper, a new isogeometric topology optimization (ITO) method based on the moving iso-surface threshold (MIST) method is proposed, and the corresponding MATLAB code is provided. The same nonuniform rational B-splines (NURBS) basis functions ...

In the field of geo-electromagnetic modeling, the unstructured tetrahedral mesh technique holds great potential for realistically simulating various complex geological structures. However, its practical application is limited by the difficulty in ...

• Open-source workflow for the geo-electromagnetic modeling of intricate structures.
• The 3D geomodelling accurately reconstructs topography, strata, caves and tunnels.
• Adaptive algorithm for extracting irregular 3D geological ...

A curved non-isoparametric Reissner–Mindlin shell element is developed for analyzing thin-walled structures. The standard kinematic description of the element requires the calculation of the director vector. To address this demand accurately, ...

In this paper, we propose the adaptive shape optimization algorithm based on the concept of Geometry Independent Field approximaTion paired with the Sequential Quadratic Programming method, applied to time-harmonic acoustics.

Non-Uniform Rational ...

• A generalization of IGA, Geometry Independent Field approximation (GIFT), is used.
• NURBS parameterize the geometry and PHT-splines approximate the sound pressure.
• Acoustic shape optimization is performed over NURBS control points ...

In the context of MOR techniques for parametrized PDEs, a novel computational method relying on NURBS-based geometric mappings and PGD-based space separated representations has recently been developed. Such approach has opened new perspectives to ...

• Fast computation of geometrically parametrized solutions of PDEs.
• NURBS-based geometric mappings and PGD-based space separated representations.
• Use of PGD in complex non-separable and non-simply-connected domains.
• NURBS control ...

Isogeometric topology optimization (ITO) uses the same mathematical representation to integrate design, analysis and optimization, with high efficiency and accuracy. However, due to the complex optimized structures, the automatic generation of an ...

We present ETER, an elastic tessellation framework for rendering large-scale NURBS models with pixel-accurate and crack-free quality at real-time frame rates. We propose a highly parallel adaptive tessellation algorithm to achieve pixel accuracy, ...

Deep learning is a popular approach for approximating the solutions to partial differential equations (PDEs) over different material parameters and boundary conditions. However, no work has yet been reported on learning PDE solutions ...

• A NURBS-based framework is introduced to extend usual NN/PINN to freeform domains.

Coordinate Measuring Machine (CMM) is widely used for the accurate profile deviation evaluation of free-form components. Sampling, measurement and evaluation of the measured data are the most important steps of the CMM measurement ...

• A two-stage methodology is proposed for profile error estimation of 2D free-form profiles inspected using CMM.

• A fast 3D parametric model of human calves based on NURBS was proposed.
• Feature ...

Accurate human body models are increasingly demanded by high-quality human-centered ergonomic applications, especially the design and manufacturing of compressive functional apparels. However, ...

• Sloshing in 3D tanks with porous structures is first analyzed by IGABEM.
• ...

An isogeometric boundary element method (IGABEM) is extended in this work to study liquid sloshing characteristics in various 3D tanks with arbitrary internal bottom-mounted porous structures. Unlike the classical boundary element ...

Topology optimization provides a powerful approach to structural design with its capability to find the optimal topology automatically. However, the optimal topologies achieved by the traditional density-based method are difficult to be ...