Fitting B-spline curves to point clouds by curvature-based squared distance minimization

W Wang, H Pottmann, Y Liu - ACM Transactions on Graphics (ToG), 2006 - dl.acm.org
Computing a curve to approximate data points is a problem encountered frequently in many
applications in computer graphics, computer vision, CAD/CAM, and image processing. We …

A State‐of‐the‐Art Computer Vision Adopting Non‐Euclidean Deep‐Learning Models

SH Chowdhury, MR Sany, MH Ahamed… - … Journal of Intelligent …, 2023 - Wiley Online Library
A distance metric known as non‐Euclidean distance deviates from the laws of Euclidean
geometry, which is the geometry that governs most physical spaces. It is utilized when …

Industrial geometry: recent advances and applications in CAD

H Pottmann, S Leopoldseder, M Hofer, T Steiner… - Computer-Aided …, 2005 - Elsevier
Industrial Geometry aims at unifying existing and develo** new methods and algorithms
for a variety of application areas with a strong geometric component. These include CAD …

Efficient particle swarm optimization approach for data fitting with free knot B-splines

A Gálvez, A Iglesias - Computer-Aided Design, 2011 - Elsevier
Data fitting through B-splines improves dramatically if the knots are treated as free variables.
However, in that case the approximation problem becomes a very difficult continuous …

A new iterative mutually coupled hybrid GA–PSO approach for curve fitting in manufacturing

A Gálvez, A Iglesias - Applied Soft Computing, 2013 - Elsevier
Fitting data points to curves (usually referred to as curve reconstruction) is a major issue in
computer-aided design/manufacturing (CAD/CAM). This problem appears recurrently in …

Kappa (κ): Analysis of Curvature in Biological Image Data using B-splines

H Mary, GJ Brouhard - BioRxiv, 2019 - biorxiv.org
Curvature is a central morphological feature of tissues, cells, and sub-cellular structures. A
challenge for computational biology is to measure the curvature of these structures from …

Adaptive knot placement using a GMM-based continuous optimization algorithm in B-spline curve approximation

X Zhao, C Zhang, B Yang, P Li - Computer-Aided Design, 2011 - Elsevier
One of the key problems in using B-splines successfully to approximate an object contour is
to determine good knots. In this paper, the knots of a parametric B-spline curve were treated …

Shape reconstruction using Boolean operations in electrical impedance tomography

D Liu, D Gu, D Smyl, J Deng… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
In this work, we propose a new shape reconstruction framework rooted in the concept of
Boolean operations for electrical impedance tomography (EIT). Within the framework, the …

Elitist clonal selection algorithm for optimal choice of free knots in B-spline data fitting

A Gálvez, A Iglesias, A Avila, C Otero, R Arias… - Applied Soft …, 2015 - Elsevier
Data fitting with B-splines is a challenging problem in reverse engineering for CAD/CAM,
virtual reality, data visualization, and many other fields. It is well-known that the fitting …

New memetic self-adaptive firefly algorithm for continuous optimisation

A Gálvez, A Iglesias - International Journal of Bio-Inspired …, 2016 - inderscienceonline.com
The firefly algorithm is a recent nature-inspired algorithm that is receiving increasing
attention from the scientific community during the last few years. One of its most promising …