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Numerical analyses of the boundary effect of radial basis functions in 3D surface reconstruction
2008
Numerical Algorithms
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Surface reconstruction is very important for surface characterization and graph processing. Radial basis function has now become a popular method to reconstruct 3D surfaces from scattered data. ...
The factors that influence the boundary behaviour are analyzed quantitatively via numerical experiments. ...
All the boundary points are moved outside to form a new circle, which are added as new centres for radial basis function reconstruction. (1) (2) (4) (5) (6) Figure 1 . ...
doi:10.1007/s11075-008-9185-8
fatcat:shmfpsl4oja53gppgq76hxvuh4
CAE - Update of CAE models on actual manufactured shapes
2019
Procedia Structural Integrity
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Engineering fields with high technological contents involve manufacturing requirements in which the control of the margins of tolerance, as well as the verification of the manufactured components, has ...
Abstract Engineering fields with high technological contents involve manufacturing requirements in which the control of the margins of tolerance, as well as the verification of the manufactured components ...
Mesh adaption based on radial basis functions Radial basis functions (RBF) are considered one of the most effective algorithms in solving problems related to mesh morphing (Jakobsson and Amoignon (2007 ...
doi:10.1016/j.prostr.2020.02.069
fatcat:7bwh5w6i6vakho7ufyeouswrfi
Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches
2021
Powder Technology
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Abstract We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the morphology of scanned genus-0 rough surface patches with open edges. ...
J o u r n a l P r e -p r o o f Journal Pre-proof J o u r n a l P r e -p r o o f Journal Pre-proof Abstract We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the morphology ...
This work was supported in part by the National Science
Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could ...
doi:10.1016/j.powtec.2021.07.081
fatcat:n6qcohs3ozflzdqm7ypd4wps4m
Orebody Modeling from Non-Parallel Cross Sections with Geometry Constraints
2019
Minerals
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In this paper, we present an improved approach to the surface reconstruction of orebody from sets of interpreted cross sections that allows for shape control with geometry constraints. ...
As both of the processes of interpolation and iso-surface extraction are improved, the performance of this method is excellent. ...
The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results. ...
doi:10.3390/min9040229
fatcat:7xdkepigunfjngw3womkgycely
Spherical Cap Harmonic Analysis (SCHA) for Characterising the Morphology of Rough Surface Patches
[article]
2021
arXiv
pre-print
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We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the morphology of scanned genus-0 rough surface patches with open edges. ...
By windowing the spectral domain, we limit the bandwidth of wavelengths included in a reconstructed surface geometry. ...
This work was supported in part by the National Science Foundation under Grant No. DMS-2002103 (to G.P.T.C.). ...
arXiv:2107.14629v1
fatcat:7hrjkkrtrjfe7jibzo32zybqze
Reconstruction and analysis of hybrid composite shells using meshless methods
2017
International Journal of Advanced Structural Engineering
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However, combining the task of surface reconstruction and the implementation of a structural analysis model is not a trivial task. ...
In these cases, the research effort to find an efficient approach to fit laser scanning point clouds, to the desired surface, has been increasing, leading to the possibility of modelling as-built/as-is ...
Acknowledgements The authors wish to acknowledge the financial support given by FCT/MEC through Project PTDC/ATP-AQI/5355/ 2012 and Project LAETA-UID/EMS/50022/2013. ...
doi:10.1007/s40091-017-0152-2
fatcat:aup53p5k3jdwpaycrhznndawom
Regeneration of Scots pine stem after wounding
2014
IAWA Journal
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Stem regeneration after wounding was studied in 110-year-old trees of Pinus sylvestris L. over a period of 30 years. the changes of cambial surface are shown as 3D models. ...
the most effective mechanism for the tree stem regeneration to restore its biomechanical and transport functions. this could be considered as an illustration of Wolff's law that the shape of an organ follows ...
DIScUSSION the present study shows that the history of the stem regeneration process inscribed in the wood structure can be effectively reconstructed by numerical 3D models using the programs ArcGIS and ...
doi:10.1163/22941932-00000065
fatcat:crw27ukzjfdmtkrcqalp2zwzay
Adaptive radial basis function‐generated finite differences method for contact problems
2019
International Journal for Numerical Methods in Engineering
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2018 pre-print arXiv:1811.10368v1 fatcat:fwmkcw3qjnezllfsqiromd73feOther Versions
This paper proposes an original adaptive refinement framework using Radial Basis Functions-generated Finite Differences method. ...
In the last case, generality of the proposed approach is demonstrated by solving a 3-D Boussinesq's problem of the concentrated normal traction acting on an isotropic half-space. ...
ACKNOWLEDGEMENTS The ...
doi:10.1002/nme.6067
fatcat:vt6dvawyoffxfigep2x4vog57i
Automated segmentation and shape characterization of volumetric data
2014
NeuroImage
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Characterization of complex shapes embedded within volumetric data is an important step in a wide range of applications. ...
of subsequent surface fitting algorithms. ...
All MRI scans used in Section 7 were supported by NIH grant R01 AA13419, PI: Tapert. ...
doi:10.1016/j.neuroimage.2014.01.053
pmid:24521852
pmcid:PMC4324567
fatcat:gz3z4ynnxveyrmssaybq4tafwm
Computational medical imaging and hemodynamics framework for functional analysis and assessment of cardiovascular structures
2017
BioMedical Engineering OnLine
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This article reviews the state-of-the-art medical imaging and high fidelity multi-physics computational analyses that together enable reconstruction of cardiovascular structures and hemodynamic flow patterns ...
However, functional information of cardiovascular flow, which can in fact be used to support the diagnosis of many cardiovascular diseases with a myriad of hemodynamics performance indicators, remains ...
multi-scale modelling by
coupling (1D-3D NS and IFS)
Quality check of boundary mesh
Define trial and test function
(function space)
Branch of fluid mechanics that uses
numerical analysis and algorithms ...
doi:10.1186/s12938-017-0326-y
pmid:28327144
pmcid:PMC5359907
fatcat:d4yd3q5eq5gozh5qrbc4d724qa
MODELING THREE-DIMENSIONAL MORPHOLOGICAL STRUCTURES USING SPHERICAL HARMONICS
2009
Evolution
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These new algorithms allow for the numerical characterization of a much larger class of 3D models. ...
The revolution in quantitative morphometric analyses over the past 20 years has brought tremendous rigor to the quantification and comparison of many types of morphological structures, particularly those ...
Software coded in Matlab (The Mathworks, Inc., Natick, MA) is available from the authors on request (E-mail: mark.mcpeek@dartmouth.edu). ...
doi:10.1111/j.1558-5646.2008.00557.x
pmid:19154365
pmcid:PMC2936781
fatcat:sy65f4jskbam7phnaqe3hxhcwy
Cauchy-perturbative matching and outer boundary conditions: Methods and tests
1998
Physical Review D, Particles and fields
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This module implements the perturbative matching approach in connection with a generic three-dimensional numerical relativity simulation. ...
We present a new method of extracting gravitational radiation from three-dimensional numerical relativity codes and providing outer boundary conditions. ...
As a result, the numerical module can reconstruct the values of K ij and ∂ t K ij on a 2-surface of arbitrary shape, or any collection of points outside of E. ...
doi:10.1103/physrevd.58.044005
fatcat:7f2a2gsdyjdolcyl3e7fyphmbm
Recent Theory and Applications on Inverse Problems
2013
Mathematical Problems in Engineering
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Acknowledgment The guest editors would like to deeply thank all the authors, the reviewers, the editorial board of the Mathematical Problems in Engineering journal, and all the staff involved in the preparation ...
of this issue. ...
Nara aims to propose a numerical algebraic reconstruction algorithm for finding number and locations of neural currents from the knowledge of measured magnetic field data in 3D, which has an application ...
doi:10.1155/2013/303154
fatcat:wyjsyrsnyfhgbcqoqoeiydcw2q
Joint analyses of 2D CMB lensing and 3D galaxy clustering in spherical Fourier-Bessel basis
[article]
2021
arXiv
pre-print
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To model the full use of the 3D information of galaxy clustering, we forecast f_ NL measurements using the decomposition in the spherical Fourier-Bessel (SFB) basis, which can be naturally cross-correlated ...
In the meantime, such a decomposition would also enable us to constrain the growth rate of structure, a probe of gravity, through the redshift-space distortion (RSD). ...
The numerical computations in this work were performed in part using the NYU Greene High Performance Computing cluster. ...
arXiv:2110.00872v1
fatcat:o3f2gvc4wfawhoha25hrbhbz4m
Meso-scale modeling of concrete with recycled aggregates
2020
Zenodo
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Scope of this work is to analyse the challenging aspects of recycled aggregates modeling in concrete mixtures and to define a procedure to cope with them. ...
Particularly, numerical analyses dealing with the mechanical behaviour of concrete mixtures made of natural and recycled aggregates are here performed at the mesoscale level, distinguishing between concrete ...
ICEA -University of Padova, for providing the 3D laser scanner equipment and for their advice and valuable comments during this research. ...
doi:10.5281/zenodo.4059443
fatcat:z4adswgtzbb7djgiortyqv3inq
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