Smoothing surfaces using reflection lines for families of splines
Computer-Aided Design - Special issue on the shape of surfaces
On Three-Dimensional Surface Reconstruction Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized implicit functions for computer graphics
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Parameter optimization in approximating curves and surfaces to measurement data
Computer Aided Geometric Design
Near-optimal triangulation of a point set by simulated annealing
SAC '92 Proceedings of the 1992 ACM/SIGAPP symposium on Applied computing: technological challenges of the 1990's
ACM Transactions on Graphics (TOG)
Variational design of smooth B-spline surfaces
Topics in surface modeling
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
The NURBS book
Implicit reconstruction of solids from cloud point sets
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Automatic reconstruction of surfaces and scalar fields from 3D scans
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Surface fitting with hierarchical splines
ACM Transactions on Graphics (TOG)
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Arbitrary topology shape reconstruction from planar cross sections
Graphical Models and Image Processing
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Some characterizations of families of surfaces using functional equations
ACM Transactions on Graphics (TOG)
A fast surface-based procedure for object reconstruction from 3D scattered points
Computer Vision and Image Understanding
Advances in genetic programming
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Swarm intelligence
Advanced surface fitting techniques
Computer Aided Geometric Design
Evolving adaptive pheromone path planning mechanisms
Proceedings of the first international joint conference on Autonomous agents and multiagent systems: part 1
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
IEEE Transactions on Visualization and Computer Graphics
Extending Neural Networks for B-Spline Surface Reconstruction
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
A New Artificial Intelligence Paradigm for Computer-Aided Geometric Design
AISC '00 Revised Papers from the International Conference on Artificial Intelligence and Symbolic Computation
Surface construction by fitting unorganized curves
Graphical Models
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Single View Reconstruction of Curved Surfaces
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Fundamentals of Computational Swarm Intelligence
Fundamentals of Computational Swarm Intelligence
On the design of optimisers for surface reconstruction
Proceedings of the 9th annual conference on Genetic and evolutionary computation
Multi-strategy ensemble particle swarm optimization for dynamic optimization
Information Sciences: an International Journal
Automatic knot adjustment using an artificial immune system for B-spline curve approximation
Information Sciences: an International Journal
Particle swarm optimization with preference order ranking for multi-objective optimization
Information Sciences: an International Journal
A hybrid coevolutionary algorithm for designing fuzzy classifiers
Information Sciences: an International Journal
A novel approach for multi-agent-based Intelligent Manufacturing System
Information Sciences: an International Journal
Industrial geometry: recent advances and applications in CAD
Computer-Aided Design
Functional networks for B-spline surface reconstruction
Future Generation Computer Systems
ICCSA'07 Proceedings of the 2007 international conference on Computational science and Its applications - Volume Part II
A swarm intelligence approach to the quadratic minimum spanning tree problem
Information Sciences: an International Journal
Information Sciences: an International Journal
Cellular particle swarm optimization
Information Sciences: an International Journal
Swarm algorithms with chaotic jumps applied to noisy optimization problems
Information Sciences: an International Journal
Swarm intelligence based routing protocol for wireless sensor networks: Survey and future directions
Information Sciences: an International Journal
Self-adaptive learning based particle swarm optimization
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
A refactoring method for cache-efficient swarm intelligence algorithms
Information Sciences: an International Journal
An application of swarm intelligence to distributed image retrieval
Information Sciences: an International Journal
Optimizing least-significant-bit substitution using cat swarm optimization strategy
Information Sciences: an International Journal
Estimation of particle swarm distribution algorithms: Combining the benefits of PSO and EDAs
Information Sciences: an International Journal
Smoothing of curves and surfaces
Computer Aided Geometric Design
Editorial: Special issue: Swarm intelligence and its applications
Information Sciences: an International Journal
IGA-based point cloud fitting using B-spline surfaces for reverse engineering
Information Sciences: an International Journal
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This work investigates the use of particle swarm optimization (PSO) to recover the shape of a surface from clouds of (either organized or scattered) noisy 3D data points, a challenging problem that appears recurrently in a wide range of applications such as CAD design, data visualization, virtual reality, medical imaging and movie industries. In this paper, we apply a PSO approach in order to reconstruct a non-uniform rational B-spline (NURBS) surface of a certain order from a given set of 3D data points. In this case, surface reconstruction consists of two main tasks: (1) surface parameterization and (2) surface fitting. Both tasks are critical but also troublesome, leading to a high-dimensional non-linear optimization problem. Our method allows us to obtain all relevant surface data (i.e., parametric values of data points, knot vectors, control points and their weights) in a shot and no pre-/post-processing is required. Furthermore, it yields very good results even in presence of problematic features, such as multi-branches, high-genus or self-intersections. Seven examples including open, semiclosed, closed, zero-genus, high-genus surfaces and real-world scanned objects, described in free-form, parametric and implicit forms illustrate the good performance of our approach and its superiority over previous approaches in terms of accuracy and generality.