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Numerical analyses of the boundary effect of radial basis functions in 3D surface reconstruction

Xiangchao Zhang, Xiangqian Jiang
2008 Numerical Algorithms  
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

Stefano Porziani, Francesco Scarpitta, Emiliano Costa, Edoardo Ferrante, Biagio Capacchione, Michel Rochette, Marco Evangelos Biancolini
2019 Procedia Structural Integrity  
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

Mahmoud Shaqfa, Gary P.T. Choi, Katrin Beyer
2021 Powder Technology  
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

De-Yun Zhong, Li-Guan Wang, Ming-Tao Jia, Lin Bi, Ju Zhang
2019 Minerals  
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]

Mahmoud Shaqfa, Gary P. T. Choi, Katrin Beyer
2021 arXiv   pre-print
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

G. M. S. Bernardo, M. A. R. Loja
2017 International Journal of Advanced Structural Engineering  
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

Urszula Zajączkowska
2014 IAWA Journal  
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

Jure Slak, Gregor Kosec
2019 International Journal for Numerical Methods in Engineering  
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

Vitaly L. Galinsky, Lawrence R. Frank
2014 NeuroImage  
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

Kelvin K. L. Wong, Defeng Wang, Jacky K. L. Ko, Jagannath Mazumdar, Thu-Thao Le, Dhanjoo Ghista
2017 BioMedical Engineering OnLine  
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

Li Shen, Hany Farid, Mark A. McPeek
2009 Evolution  
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

M. E. Rupright, A. M. Abrahams, L. Rezzolla
1998 Physical Review D, Particles and fields  
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

Fatih Yaman, Valery G. Yakhno, Roland Potthast
2013 Mathematical Problems in Engineering  
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]

Yucheng Zhang, Anthony R. Pullen, Abhishek S. Maniyar
2021 arXiv   pre-print
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

Gianluca Mazzucco, Giovanna Xotta, Beatrice Pomaro, Valentina Salomoni, Flora Faleschini
2020 Zenodo  
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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