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3D printing and other layer manufacturing processes are challenged by dimensional accuracy. Several techniques are used to validate and calibrate dimensional accuracy through the complete building envelope. The validation process involves…

Algebraic Geometry · Mathematics 2019-08-15 Andre F. van der Merwe , Janko Boehm , Magdaleen S. Marais

An end-to-end hardware-software pipeline is introduced to automatize ergonomics assessment in industrial workplaces. The proposed modular solution can interoperate with commercial systems throughout the ergonomics assessment phases involved…

A comprehensive toolkit is developed for regression analysis of directional data based on a flexible class of angular Gaussian distributions. Informative testing procedures for isotropy and covariate effects on the directional response are…

Methodology · Statistics 2024-08-07 Zehao Yu , Xianzheng Huang

We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation along initially aligned curved boundaries and internal…

Numerical Analysis · Mathematics 2021-05-27 Patrick Knupp , Tzanio Kolev , Ketan Mittal , Vladimir Z. Tomov

Electromagnetic metasurfaces have attracted significant interest recently due to their low profile and advantageous applications. Practically, many metasurface designs start with a set of constraints for the radiated far-field, such as…

Materials Science · Physics 2022-04-04 Stewart Pearson , Parinaz Naseri , Sean V. Hum

This paper aims to develop an efficient adaptive finite element method for the second-order elliptic problem. Although the theory for adaptive finite element methods based on residual-type a posteriori error estimator and bisection…

Numerical Analysis · Mathematics 2025-03-24 Jingjing Xiao , Ying Liu , Nianyu Yi

Bin picking is an important building block for many robotic systems, in logistics, production or in household use-cases. In recent years, machine learning methods for the prediction of 6-DoF grasps on diverse and unknown objects have shown…

Achieving quantum-limited motional control of optically trapped particles beyond the sub-micrometer scale is an outstanding problem in levitated optomechanics. A key obstacle is solving the light scattering problem and identifying particle…

Optics · Physics 2025-07-15 Moosung Lee , Benjamin A. Stickler , Thomas Pertsch , Sungkun Hong

In this paper, a new approach to solve the cubic B-spline curve fitting problem is presented based on a meta-heuristic algorithm called " dolphin echolocation ". The method minimizes the proximity error value of the selected nodes that…

Graphics · Computer Science 2017-01-17 Hasan Ali Akyürek , Erkan Ülker , Barış Koçer

The computational fabrication pipeline for 3D printing is much like a compiler - users design models in Computer Aided Design (CAD) tools that are lowered to polygon meshes to be ultimately compiled to machine code by 3D slicers. For…

Programming Languages · Computer Science 2025-09-03 Yumeng He , Chandrakana Nandi , Sreepathi Pai

We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to each subdivided control mesh are utilized to represent the…

Numerical Analysis · Mathematics 2019-11-06 Qing Pan , Timon Rabczuk , Gang Xu , Chong Chen

Purpose: Accurate detection and 6D pose estimation of surgical instruments are crucial for many computer-assisted interventions. However, supervised methods lack flexibility for new or unseen tools and require extensive annotated data. This…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Jonas Hein , Lilian Calvet , Matthias Seibold , Siyu Tang , Marc Pollefeys , Philipp Fürnstahl

The growing need for creating surfaces with specific wetting properties, such as superhyrdophobic behavior, asks for novel methods for their efficient design. In this work, a fast computational method for the evaluation of patterned…

Applied Physics · Physics 2019-01-31 V. Krokos , G. Pashos , A. N. Spyropoulos , G. Kokkoris , A. G. Papathanasiou , A. G. Boudouvis

For high (angular) resolution electron backscatter diffraction (HR-EBSD), the selection of a reference diffraction pattern (EBSP0) significantly affects the precision of the calculated strain and rotation maps. This effect was demonstrated…

Materials Science · Physics 2023-02-21 Abdalrhaman Koko , Vivian Tong , Angus J. Wilkinson , T. James Marrow

For large-scale data fitting, the least-squares progressive iterative approximation is a widely used method in many applied domains because of its intuitive geometric meaning and efficiency. In this work, we present a randomized progressive…

Numerical Analysis · Mathematics 2024-03-20 Nian-Ci Wu , Chengzhi Liu

The convergence analysis for least-squares finite element methods led to various adaptive mesh-refinement strategies: Collective marking algorithms driven by the built-in a posteriori error estimator or an alternative explicit…

Numerical Analysis · Mathematics 2023-09-18 Philipp Bringmann

The paper focuses on the accuracy improvement of geometric and elasto-static calibration of industrial robots. It proposes industry-oriented performance measures for the calibration experiment design. They are based on the concept of…

Robotics · Computer Science 2012-11-27 Yier Wu , Alexandr Klimchik , Anatol Pashkevich , Stéphane Caro , Benoît Furet

This manuscript provides a collection of new methods for the automated detection of non-overlapping ellipses from edge points. The methods introduce new developments in: (i) robust Monte Carlo-based ellipse fitting to 2-dimensional (2D)…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Reza Maalek , Derek Lichti

In this paper, we introduce a multiscale framework based on adaptive edge basis functions to solve second-order linear elliptic PDEs with rough coefficients. One of the main results is that we prove the proposed multiscale method achieves…

Numerical Analysis · Mathematics 2021-08-19 Yifan Chen , Thomas Y. Hou , Yixuan Wang

Given a set of 2-dimensional (2-D) scattering points, which are usually obtained from the edge detection process, the aim of ellipse fitting is to construct an elliptic equation that best fits the collected observations. However, some of…

Image and Video Processing · Electrical Eng. & Systems 2018-06-04 Hao Wang , Chi-Sing Leung , Hing Cheung So , Junli Liang , Ruibin Feng , Zifa Han