An optimal transport approach to robust reconstruction and simplification of 2d shapes

F De Goes, D Cohen‐Steiner, P Alliez… - Computer Graphics …, 2011 - Wiley Online Library
We propose a robust 2D shape reconstruction and simplification algorithm which takes as
input a defect‐laden point set with noise and outliers. We introduce an optimal‐transport …

A graph-based method for fitting planar B-spline curves with intersections

P Bo, G Luo, K Wang - Journal of Computational Design and …, 2016 - academic.oup.com
The problem of fitting B-spline curves to planar point clouds is studied in this paper. A novel
method is proposed to deal with the most challenging case where multiple intersecting …

A new section line extraction method of ring forgings based on normal vector and L1-median

Y Zhang, X Wang, Q Li, F Yan - Measurement, 2021 - Elsevier
Ring forgings are widely used in industrial fields. It is an important way that the key
dimensions of ring forgings are obtained by laser scanning to ensure the processing quality …

Reconstruction of curves from point clouds using fuzzy logic and ant colony optimization

K Khanna, N Rajpal - Neurocomputing, 2015 - Elsevier
A new approach based on fuzzy logic and ant colony optimization is presented for the
reconstruction of curves from a set of unorganized points. Fuzzy clustering is used to reduce …

Using a multiobjective genetic algorithm for curve approximation

T Sabsch, C Braune, A Dockhorn… - 2017 IEEE symposium …, 2017 - ieeexplore.ieee.org
Fitting a parametric curve to unordered point cloud data is a frequently encountered problem
in areas, where raster data has to be vectorized, or advanced geometric descriptors of point …

Parametric curve reconstruction from point clouds using minimization techniques

OE Ruiz, C Cortés, M Aristizábal, DA Acosta… - … on Computer Graphics …, 2013 - scitepress.org
Curve reconstruction from noisy point samples is central to surface reconstruction and
therefore to reverse engineering, medical imaging, etc. Although Piecewise Linear (PL) …

Fitting multiple curves to point clouds with complicated topological structures

D Zhu, P Bo, Y Zhou, C Zhang… - … Conference on Computer …, 2013 - ieeexplore.ieee.org
We present an automatic method for fitting multiple B-spline curves to unorganized planar
points. The method works on point clouds which have complicated topological structures …

Input size independent efficient quality meshing of the interior of 2D point cloud data

N Singh, T Ray, C Parimi… - Journal of Computational …, 2019 - academic.oup.com
This paper describes a framework to generate an unstructured Delaunay mesh of a two-
dimensional domain whose boundary is specified by a point cloud data (PCD). The …

Ray-triangle collision detection to approximate objects with spheres

FA Madera, SD Laycock, CG Herrera - Proceedings of the IASTED …, 2013 - actapress.com
ABSTRACT A novel method to approximate objects with spheres is proposed. The algorithm
finds the object's shape defined by the base curve of the input object. The surrounding …

Sensitivity analysis in optimized parametric curve fitting

OE Ruiz, C Cortes, DA Acosta… - Engineering …, 2015 - emerald.com
Purpose–Curve fitting from unordered noisy point samples is needed for surface
reconstruction in many applications. In the literature, several approaches have been …