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Segmental Refinement: A Multigrid Technique for Data Locality
2016
SIAM Journal on Scientific Computing
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We investigate a domain decomposed multigrid technique, segmental refinement, for solving general nonlinear elliptic boundary value problems. ...
We present a communication complexity analysis that quantifies the communication costs ameliorated by segmental refinement and report performance results with up to 64K cores of a Cray XC30. ...
We would like to thank Achi Brandt for his generous guidance in developing these algorithms. This material is based upon work supported by the U. ...
doi:10.1137/140975127
fatcat:256xgrubnbbgfbskftytraro2a
A PRIORI LOCAL GRID REFINEMENT IN THE MULTIGRID METHOD
[chapter]
1984
Elliptic Problem Solvers
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e"l w .9", JW a", k.femn, . M,.," m ,., XIII, mm-cl,! ,rti", twocm, or w!.fce b, ,rd. rum, ,rnd"m'wk M9"uI, <,u(0,. 0, o,! ...
., r',a, -,1" CO""I,"I. w ,nml" I" ,c.kwmwn" recmmwrwy", o", or Iav.ar,rq b, ", Un"ed Stats! GOwmmmt o! ."" m" thoroc.f, Tha .mv.l qa w,.,.", .1 .utho" .xP,W $".1" do c+, -11" "", C9 ,et! ...
Hyman (6) may solve this difficulty, in which case the above multigrid local mesh refinement techniques --re~ixing a logically rectangular structure--may be ujed. ...
doi:10.1016/b978-0-12-100560-3.50034-2
fatcat:rj3mbdsyifhjjiwsm3cvqnej44
Interactive Multigrid Refinement for Deformable Image Registration
2013
BioMed Research International
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We can manually revise the transformed image locally in a hierarchical multigrid manner to make the transformed image register well with the reference image. ...
The resulting deformation controls the shape of the transformed image and produces a nice registration or improves the registration results of other registration methods. ...
The Framework of Interactive Multigrid Refinement Algorithm. ...
doi:10.1155/2013/532936
pmid:24232828
pmcid:PMC3819831
fatcat:huavmpwcb5d4npoxnivkcv7zi4
Adaptive Mesh Refinement and Adaptive Time Integration for Electrical Wave Propagation on the Purkinje System
2015
BioMed Research International
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A both space and time adaptive algorithm is presented for simulating electrical wave propagation in the Purkinje system of the heart. ...
At each timestep, by an operator splitting technique, the space-dependent but linear diffusion part and the nonlinear but space-independent reactions part in the partial differential equations are integrated ...
Next a locally refined fine grid is generated based on available coarse data. Then the algorithm integrates the system on the fine level grid with a small timestep. ...
doi:10.1155/2015/137482
pmid:26581455
pmcid:PMC4637156
fatcat:xqwzoqgw2zbu5bv5acnm6k5gym
Adaptive fuzzy segmentation of magnetic resonance images
1999
IEEE Transactions on Medical Imaging
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Because of the potential size of 3-D image data, we also describe a new faster multigrid-based algorithm for its implementation. ...
An algorithm is presented for the fuzzy segmentation of two-dimensional (2-D) and three-dimensional (3-D) multispectral magnetic resonance (MR) images that have been corrupted by intensity inhomogeneities ...
Priebe for their support in this work. ...
doi:10.1109/42.802752
pmid:10571379
fatcat:sim4gp7pazapzfw2aukyf5nnhm
Adaptive mesh refinement for simulation of thin film flows
2013
Meccanica (Milano. Print)
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The resulting nonlinear discrete equation is solved using a nonlinear full approximation storage multigrid algorithm with adaptive mesh refinement techniques. ...
We present a robust and accurate numerical method for simulating gravity-driven, thin-film flow problems. ...
Figure 2 shows a schematic diagram of blockstructured local refinement with a four level AMR method. A pointwise Gauss-Seidel relaxation scheme is used as the smoother in the multigrid method. ...
doi:10.1007/s11012-013-9788-6
fatcat:duwrnjvnn5hh3edz4ujoajztde
Topology-Aware Performance Optimization and Modeling of Adaptive Mesh Refinement Codes for Exascale
2016
2016 First International Workshop on Communication Optimizations in HPC (COMHPC)
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Mota Mapper generates multiobjective, network topology-aware box mappings, which we apply to optimize the data layout for the example multigrid solvers. ...
We introduce a topology-aware performance optimization and modeling workflow for AMR simulation that includes two new modeling tools, ProgrAMR and Mota Mapper, which interface with the BoxLib AMR framework ...
The technique we employ is a mainstay for any pure-functional programmer: the monad [25] . ...
doi:10.1109/comhpc.2016.008
dblp:conf/sc/ChanBKWBAB16
fatcat:g3moavjnpfcmfplyazisu2etaa
Sonar image segmentation using an unsupervised hierarchical MRF model
2000
IEEE Transactions on Image Processing
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For the estimation step, we use an iterative technique which combines a maximum likelihood approach (for noise model parameters) with a least-squares method (for MRF-based prior). ...
In order to model more precisely the local and global characteristics of image content at different scales, we introduce a hierarchical model involving a pyramidal label field. ...
ACKNOWLEDGMENT The authors thank Groupe d'Étude Sous Marine de l'Atlantique (GESMA), Brest, for having provided numerous real sonar pictures. ...
doi:10.1109/83.847834
pmid:18262959
fatcat:kz3ma6lv2rfedc25qduu2zcnpi
Nonlinear Registration and Template-Driven Segmentation
[chapter]
1999
Brain Warping
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This investigation was supported (in part) by a Postdoctoral Fellowship from the National Multiple Sclerosis Society (SW). ...
alignment of a model of anatomy with particular data for the purpose of segmentation (segmentation by registration). ...
Local transforms for each structure were then computed to refine the match. The final step involved manual editing of the VOI contours to maximize the match accuracy. ...
doi:10.1016/b978-012692535-7/50080-x
fatcat:yvg63jiblzgopdogu46evqtkqy
Dense estimation and object-based segmentation of the optical flow with robust techniques
1998
IEEE Transactions on Image Processing
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As for motion estimation, we minimize an objective function involving two robust terms. ...
We then propose an extension of the model by attaching to it a flexible object-based segmentation device based on deformable closed curves (different families of curve equipped with different kinds of ...
Machecourt for his help in setting up the segmentation part of this work. ...
doi:10.1109/83.668027
pmid:18276286
fatcat:yy7anqtk5jaodlxc6ufdfbh2ie
Multiscale Segmentation Techniques for Textile Images
[chapter]
2011
Image Segmentation
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prepare training data for training-based supervised image segmentation [7, 8] . ...
Introduction In this chapter we focus on image segmentation techniques for some very special imagestextile images. ...
Multiscale Segmentation Techniques for Textile Images, Image Segmentation, Dr. ...
doi:10.5772/14508
fatcat:c4k3kug7nzeztaghaydv4mhm7i
Multilevel Spectral Partitioning for Efficient Image Segmentation and Tracking
2005
2005 Seventh IEEE Workshops on Applications of Computer Vision (WACV/MOTION'05) - Volume 1
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Results are presented for image segmentation and tracking problems. ...
Within this framework, a coarse solution obtained with a standard eigensolver is propagated to increasingly fine problem instances and refined using subspace iterations. ...
This approach was applied to image segmentation problems using the normalized cut criterion [11] . The method yields an order of magnitude speed improvement over current sampling techniques. ...
doi:10.1109/acvmot.2005.83
dblp:conf/wacv/TolliverCB05
fatcat:lp7l3ynkdbap7hbbkbyb34sng4
Segmentation of brain 3D MR images using level sets and dense registration
2001
Medical Image Analysis
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This paper presents a strategy for the segmentation of brain from volumetric MR images which integrates 3D segmentation and 3D registration processes. ...
The registration is achieved through a robust multiresolution and multigrid minimization scheme. ...
Acknowledgements that a variational approach mixed with region-based analysis (statistical models) is particularly robust and sensitive. ...
doi:10.1016/s1361-8415(01)00039-1
pmid:11524225
fatcat:yhuqdsghxjdufbayakk7t3aipq
Quadratic Markovian Probability Fields for Image Binary Segmentation
2007
2007 IEEE 11th International Conference on Computer Vision
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In this work we present a new Markov Random Field model for image binary segmentation that computes the probability that each pixel belongs to a given class. ...
We performed a meticulous comparison (with state of the art methods: Graph Cut, Random Walker and GMMF) for the interactive image segmentation (based on trimaps). ...
The convergence is guaranteed to a local minima. See [21] for details. ...
doi:10.1109/iccv.2007.4409119
dblp:conf/iccv/RiveraM07
fatcat:rc4ixqlsyzgzdi6q7ru4go5qly
Adaptive mesh refinement for hyperbolic partial differential equations
1984
Journal of Computational Physics
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This is the same type of approach used by multigrid practitioners (Brandt, [1977] ), except that their data structure limits them to one refined region per row. ...
In this dissertation we present a numerical method based on local grid refinements in both space and time for efficiently solving equations whose solutions are locally irregular. ...
doi:10.1016/0021-9991(84)90073-1
fatcat:d5si4bed55fifojkmx2evrwiya
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