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Circular spline fitting using an evolution process

Xinghua Song, Martin Aigner, Falai Chen, Bert Jüttler
2009 Journal of Computational and Applied Mathematics  
We propose a new method to approximate a given set of ordered data points by a spatial circular spline curve. At first an initial circular spline curve is generated by biarc interpolation.  ...  Then an evolution process based on a least-squares approximation is applied to the curve. During the evolution process, the circular spline curve converges dynamically to a stable shape.  ...  The work of Xinghua Song was partially supported by the China scholarship council. Falai Chen was supported by One Hundred Talent Project of CAS and by the 111 Project (No. B07033).  ... 
doi:10.1016/j.cam.2009.03.002 fatcat:7dxpejumdbby3crr3cznfniq5a

Semantic Evaluation and Deformation of Curves Based on Aesthetic Criteria

Franca Giannini, Erika Montani, Marina Monti, Jean-Philippe Pernot
2011 Computer-Aided Design and Applications  
The work grounds on the innovative approach suggested by the FIORES-II project for the intent-driven modeling tools for direct shape modification and on the multi-layered architecture proposed by the Network  ...  In particular the paper proposes the use of meaningful aesthetic features for the evaluation of planar curve signature and for their intent-driven direct modification.  ...  In general, the creation of new curvature extremes and inflection points is almost frequent, and therefore the name of the curve is changed.  ... 
doi:10.3722/cadaps.2011.449-464 fatcat:74gvphpfiberxg6r7xq3vepnwy

Surface morphology evolution in stressed solids: Surface diffusion controlled crack initiation

W.H. Yang, D.J. Srolovitz
1994 Journal of the mechanics and physics of solids  
We present a nonlinear analysis of the temporal evolution of the surface morphology of a stressed solid based on a general parametric description of the surface shape.  ...  Comparison of these results with predictions of linear elastic fracture mechanics shows that the critical length is in excellent agreement with the classical Griffith fracture criterion, with no adjustable  ...  Surface morphology evolution in stressed solids 1553 In this paper, we present the results of a numerical study of the full nonlinear surface morphology evolution driven by stress-assisted surface diffusion  ... 
doi:10.1016/0022-5096(94)90087-6 fatcat:itbtbvxbxzbihozesdjih6zyci

The role of membrane viscosity in the dynamics of fluid membranes [article]

Marino Arroyo, Antonio DeSimone, Luca Heltai
2010 arXiv   pre-print
When these two dissipation mechanisms are put in competition, we find that for small vesicles the membrane dissipation dominates, with a relaxation time that scales as the size of the vesicle to the power  ...  Programme (FP7/2007-2013)/ERC grant agreement nr 240487, the Ministerio de Ciencia e Innovación (DPI2007-61054) and the support received through the prize "ICREA Academia" for excellence in research, funded by  ...  of the B-Spline curve at instant t.  ... 
arXiv:1007.4934v1 fatcat:jcdzcf3j65cdfodc4zewxahwuy

Significance of cutoff in meandering river dynamics

C. Camporeale, E. Perucca, L. Ridolfi
2008 Journal of Geophysical Research  
The dynamical role is due to the propagation of a noise wave that is triggered by cutoff events.  ...  The geometrical role limits the spatial evolution of the meanders, sporadically eliminating portions of the river planimetry.  ...  the river geometry, induced by the cutoff, generates noise in the dynamics of evolution of the curve.  ... 
doi:10.1029/2006jf000694 fatcat:4vuurpnflzgvbhy75kvnhpaqaq

Memetic Simulated Annealing for Data Approximation with Local-Support Curves

Carlos Loucera, Andrés Iglesias, Akemi Gálvez
2017 Procedia Computer Science  
Unfortunately, the high dependence of nonlinear interactions among the numerous parameters makes spline fitting a very complicated problem.  ...  This approach is further combined with the centripetal parameterization and the Bayesian information criterion to compute all free variables of the curve reconstruction problem with B-splines.  ...  Acknowledgments This work has been supported by the Spanish Ministry of Economy and Competitiveness (MINECO) under grants TEC2013-47141-C4-R (RACHEL) and #TIN2012-30768 (Computer Science National Program  ... 
doi:10.1016/j.procs.2017.05.048 fatcat:d77xn2ldane55k2fkojvzofylm

Construction of minimal subdivision surface with a given boundary

Qing Pan, Guoliang Xu
2011 Computer-Aided Design  
In this paper, we construct minimal subdivision surfaces with given boundaries using the mean curvature flow, a second order geometric partial differential equation.  ...  This equation is solved by a finite element method where the finite element space is spanned by the limit functions of the extended Loop's subdivision scheme.  ...  In this paper, our intension is to construct minimal subdivision surfaces with piecewise B-spline curve boundaries. There is no limitation on the number of spline pieces.  ... 
doi:10.1016/j.cad.2010.12.013 fatcat:vfiwe3ccbbghjn3fgmsl7tysfa

Evolution of T-spline level sets for meshing non-uniformly sampled and incomplete data

Huaiping Yang, Bert Jüttler
2008 The Visual Computer  
Firstly, we construct an implicit representation of a smooth (C 2 in our case) surface, by using an evolution process of T-spline level sets, such that the implicit surface captures the topology and outline  ...  Finally, we present an additional evolution process, which combines data-driven velocities and featurepreserving bilateral filters, in order to reproduce sharp features.  ...  The first author was supported by a Marie Curie Incoming International Fellowship of the European commission (project 022073 ISIS).  ... 
doi:10.1007/s00371-008-0222-3 fatcat:ojyw7yf4z5blvjfqm6c66ubaxm

Functional relationships between denudation and hillslope form and relief

Joshua J. Roering, J. Taylor Perron, James W. Kirchner
2007 Earth and Planetary Science Letters  
Here, we use a previously proposed nonlinear model for sediment transport on hillslopes to formulate 1-D dimensionless functions for hillslope morphology as well as a generalized expression relating steady-state  ...  These results should be useful for inferring rates of hillslope denudation and sediment flux from topography, or for coarse-scale landscape evolution simulations, in that first-order hillslope properties  ...  Acknowledgments JJR was supported by NSF EAR-0309975. JTP was supported by a National Science Foundation Graduate Research Fellowship and a Reginald A. Daly Postdoctoral Fellowship.  ... 
doi:10.1016/j.epsl.2007.09.035 fatcat:nuetpbl4qffxxj7zkn3y2cbbbu

Smooth Curve Fitting of Mobile Robot Trajectories using Differential Evolution

Victor Parque, Tomoyuki Miyashita
2020 IEEE Access  
In this paper, we propose an approach to suggest smooth paths from observed robot trajectories by optimizing fitting and smoothness criteria using Differential Evolution with distinct modes of initialization  ...  schemes such as Rank-Based Differential Evolution (RBDE), Adaptive Differential Evolution with External Archive (JADE) and Strategy Adaptation Differential Evolution (SADE).  ...  Also, once curves minimizing the criterion in Eq. 8 are computed, it becomes possible to generate compounded smooth paths with C 0 continuity by joining the curvature profiles of Bézier paths and by matching  ... 
doi:10.1109/access.2020.2991003 fatcat:7po6x37na5bhxgv23x5q5xxfoa

Song discrimination learning in zebra finches induces highly divergent responses to novel songs

M. N Verzijden, E. Etman, C. van Heijningen, M. van der Linden, C. ten Cate
2007 Proceedings of the Royal Society of London. Biological Sciences  
We examined generalization patterns by presenting novel songs with more or fewer repeated elements (experiment 1), or with the odd element earlier or later in the repeated element sequence (experiment  ...  The generalization curves obtained from (i) control birds, (ii) experimental birds in experiment 1, and (iii) experimental birds in experiment 2 showed large and systematic differences from each other.  ...  The study was supported by grant 803-30-044 from NWO. The Leiden University Animal Experiments Committee approved the experimental protocols and animal care was according to institutional guidelines.  ... 
doi:10.1098/rspb.2006.3728 pmid:17148259 pmcid:PMC1685846 fatcat:wdz5bzuuxvaahmnm4mftqsxdji

Curvature Processing Dynamics in Macaque Area V4

Jeffrey M. Yau, Anitha Pasupathy, Scott L. Brincat, Charles E. Connor
2012 Cerebral Cortex  
We contrasted 2 hypotheses: 1) that V4 curvature tuning evolves from tuning for simpler elements, analogous to PIT shape synthesis and 2) that V4 curvature tuning emerges immediately, based on purely feedforward  ...  Here, we analyzed curvature processing dynamics in area V4, which provides feedforward inputs to PIT.  ...  We characterized the evolution of orientation-driven response modulation for each neuron by conducting ANOVA at each time point.  ... 
doi:10.1093/cercor/bhs004 pmid:22298729 pmcid:PMC3513958 fatcat:lorqpsdidzhnlb7ujtw3tk3tqu

Page 7783 of Mathematical Reviews Vol. , Issue 97M [page]

1997 Mathematical Reviews  
respect to time and space.” 97m:65188 65M99 35K55 65D17 Mikula, Karol (SK-STU; Bratislava) Solution of nonlinear curvature driven evolution of plane convex curves.  ...  On the other hand, the collocation method is applied to the heat equation with cubic splines as the basis functions.  ... 

Effects of smoothing and regridding in numerical meander migration models

Alessandra Crosato
2007 Water Resources Research  
These were derived by applying different degrees of simplification to the basic equations for water flow and sediment motion of shallow curved channels.  ...  This becomes evident from a series of computational tests performed in order to compare two different methods of error reduction in the computed local channel curvature: cubic spline interpolations versus  ...  This research is granted by the Water Research Centre Delft. The author wishes to thank Huib de Vriend, Marco Toffolon, and Erik Mosselman for their valuable comments.  ... 
doi:10.1029/2006wr005087 fatcat:xniut3n5gfd4zhjjr4lbu7srea

Tracking Level Set Representation Driven by a Stochastic Dynamics [chapter]

Christophe Avenel, Etienne Mémin, Patrick Pérez
2012 Lecture Notes in Computer Science  
The corresponding filters, called particle filters, are very general in the sense they enable coping with nonlinear dynamics and nonlinear measurement with additive eventually non-Gaussian noises.  ...  Specific noise models lead to the traditional level set evolution law based on mean curvature motions, while other forms lead to new evolution laws with different smoothing behaviors.  ...  This representation has the great advantage to formulate the curve evolution within an Eulerian framework which avoids the definition of splitting/merging stratagem of Lagrangian splines curve representations  ... 
doi:10.1007/978-3-642-27413-8_8 fatcat:dbucbirbjjamdlvm5iizgn7xry
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