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A box spline calculus for computed tomography

Alireza Entezari, Michael Unser
2010 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
It is of relevance for imaging modalities such as X-ray computed tomography and 3-D cryo-electron microscopy.  ...  The proposed framework allows for a proper discretization of a variety of 2-D and 3-D tomographic reconstruction problems in a box spline basis.  ...  Prominent medical imaging examples are Xray computed tomography, emission tomography (PET and SPECT), and portal imaging for radio therapy.  ... 
doi:10.1109/isbi.2010.5490105 dblp:conf/isbi/EntezariU10 fatcat:67stwgonvfejnnwdgpzn3dnob4

A Box Spline Calculus for the Discretization of Computed Tomography Reconstruction Problems

A. Entezari, M. Nilchian, M. Unser
2012 IEEE Transactions on Medical Imaging  
It is of relevance for imaging modalities such as X-ray computed tomography and cryo-electron microscopy.  ...  The proposed framework allows for a proper discretization of a variety of tomographic reconstruction problems in a box spline basis.  ...  CONCLUSION We presented a box spline calculus for computed tomography.  ... 
doi:10.1109/tmi.2012.2191417 pmid:22453611 fatcat:bnotv4enhrau5l5u73aj3xjanu

First International Conference on Mathematical and numerical aspects of wave propagation phenomena

1991 Journal of Computational and Applied Mathematics  
an undergraduate Calculus course.  ...  In hindsight, it seems to be a logical meeting point between constructive mathematics and computing science. and Warehousing. Simulation in Automation and Robotics: Production Planning NIJ Scheduhnp:  ...  COMPUTER METHODS and ADVANCES in GEOMECHAN-ICS Date : 6-10 May, 1991. Other information : CAM-Newsletter 5, nr. 3. Contact address : Dr. G. Beer, CSIRO P.O. Box 63, St.  ... 
doi:10.1016/0377-0427(91)90053-m fatcat:55dnsbcyqvg7fceoksioy3ibci

Monte-Carlo Sure: A Black-Box Optimization of Regularization Parameters for General Denoising Algorithms

S. Ramani, T. Blu, M. Unser
2008 IEEE Transactions on Image Processing  
Our method is a black-box approach which solely uses the response of the denoising operator to additional input noise and does not ask for any information about its functional form.  ...  We demonstrate numerically that SURE computed using the new approach accurately predicts the true MSE for all the considered algorithms.  ...  ACKNOWLEDGMENT The authors would like to thank the anonymous reviewer for indicating relevant work [24] in the literature, and Dr. P. Thévénaz for proofreading this paper.  ... 
doi:10.1109/tip.2008.2001404 pmid:18701393 fatcat:jgblu2lm3vdj3pabkcahj6yccm

Newsletter on Computational and Applied Mathematics

1987 Journal of Computational and Applied Mathematics  
Implementation Development of algorithms and implementation of computer programs for automated inversion including computer tomography  ...  They should send a note to the editors containing a brief description of their programs and practical information for a potential user.  ... 
doi:10.1016/s0377-0427(87)80023-7 fatcat:h6ad2ooxfzazvcbw3xeoyq7v4m

Interactive distributed cloud-based web-server systems for the smart healthcare industry [article]

Almagul Baurzhanovna Kondybayeva
2020 arXiv   pre-print
A new method of numerical calculus is proposed for calculating the volume -- the method of spheres, as well as a proposal for paralleling the algorithm on graphic accelerators in a linearly homogeneous  ...  computing environment using the block decomposition methods.  ...  A new method of numerical calculus is proposed for calculating the volume -the method of spheres, as well as a proposal for paralleling the algorithm on graphic accelerators in a linearly homogeneous computing  ... 
arXiv:2005.01442v1 fatcat:wcdmjo2pbbemlltwbovr6pwlry

Newsletter on computational and applied mathematics

1987 Journal of Computational and Applied Mathematics  
They should send a note to the editors containing a brief description of their programs and practical information for a potential user.  ...  Aims and scope : The CAM-newsletter is a newletter intended for numerical analysts and applied mathematicians.  ...  Implementation Development of algorithms and implementation of computer programs for automated inversion including computer tomography  ... 
doi:10.1016/0377-0427(87)90186-5 fatcat:oyfmhxmq7vahdo7wzq4xki77ym

Fast wave computation via Fourier integral operators

Laurent Demanet, Lexing Ying
2012 Mathematics of Computation  
This paper presents a numerical method for "time upscaling" wave equations, i.e., performing time steps not limited by the Courant-Friedrichs-Lewy (CFL) condition.  ...  at random for the amplitudes.  ...  Within each box, we embed a local Cartesian grid and the function a λ (ξ) ξ −d a restricted to this box is approximated using a cubic spline.  ... 
doi:10.1090/s0025-5718-2012-02557-9 fatcat:uicdhcp5ebcbxm2ytpg46zrf7m

Seismic ray tracing and wavefront tracking in laterally heterogeneous media [chapter]

N. Rawlinson, J. Hauser, M. Sambridge
2008 Advances in Geophysics  
Illustration of how post-sweeping can correct for errors due to the use of an expanding box strategy for computing traveltimes.  ...  For a set of velocity values V i,j,k on a 3-D grid of points p i,j,k = (x i,j,k , y i,j,k , z i,j,k ), the B-spline for the ijkth volume element is B B B i,j,k (u, v, w) = 2 l=−1 2 m=−1 2 n=−1 b l (u)b  ... 
doi:10.1016/s0065-2687(07)49003-3 fatcat:fwz4p54zjbbuxopwp52k27jwme

SEISMIC TRAVELTIME TOMOGRAPHY OF THE CRUST AND LITHOSPHERE [chapter]

N. Rawlinson, M. Sambridge
2003 Advances in Geophysics  
ACKNOWLEDGMENTS We thank Fiona Darbyshire for kindly supplying Fig. 29 and Fig. 30 , and Frank Graeber for kindly supplying Fig. 35, Fig. 36, Fig. 37 and Fig. 38 .  ...  Greg Houseman is thanked for useful discussions on an early version of this work, and an anonymous referee is thanked for constructive comments on the original manuscript.  ...  Within each box, a ray path segment will have the geometry of a circular arc, and therefore has an analytic expression.  ... 
doi:10.1016/s0065-2687(03)46002-0 fatcat:3xrswjxcrrgfzo7b2mkrviilbq

A framework based on hidden Markov trees for multimodal PET/CT image co-segmentation

Houda Hanzouli-Ben Salah, Jerome Lapuyade-Lahorgue, Julien Bert, Didier Benoit, Philippe Lambin, Angela Van Baardwijk, Emmanuel Monfrini, Wojciech Pieczynski, Dimitris Visvikis, Mathieu Hatt
2017 Medical Physics (Lancaster)  
multimodality image processing and to evaluate this framework for single gross tumor target (GTV) delineation from both positron emission tomography (PET) and computed tomography (CT) images.  ...  Purpose: The purpose of this study was to investigate the use of a probabilistic quad-tree graph (hidden Markov tree, HMT) to provide fast computation, robustness and an interpretational framework for  ...  Emission Computed Tomography (SPECT) or UltraSound (US).  ... 
doi:10.1002/mp.12531 pmid:28837224 fatcat:gumf42zqqvhstlawiuawp2cali

Medical image compression and vector quantization

Sharon M. Perlmutter, Pamela C. Cosman, Chien-Wen Tseng, Richard A. Olshen, Robert M. Gray, King C.P. Li, Colleen J. Bergin
1998 Statistical Science  
In this paper, we describe a particular set of algorithms for clustering and show how they lead to codes which can be used to compress images.  ...  Finally, we report the methodology for how image compression was applied in a clinical setting, where the medical issue was the measurement of major blood vessels in the chest and the technology was magnetic  ...  Fig. 21 . 21 Box plots of F for levels. Fig. 22 . 22 Box plots of F for structures. Fig. 23 . 23 Box plots of F for interactions. Fig. 24 . 24 Box plots of F for residual mean squares.  ... 
doi:10.1214/ss/1028905972 fatcat:x6mcqs7r4rgn7cufehp4odweoa

Efficient combined SSIM- and landmark-driven image registration in a variational framework

J. Larrey-Ruiz, J. Morales-Sánchez, L. Larrey-Ruiz
2019 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería  
In particular, the registration of triple-phase 3D computed tomographies of the liver under injection of a contrast agent has been chosen for such a comparison.  ...  In this paper, we present a mathematical framework, based on the calculus of variations, for combining these two classes in order to benefit from the advantages of both strategies.  ...  According to the variational calculus, a necessary condition for a minimizer u of the joint energy functional (1) is that the first variation of J [u] in any direction (also known as the Gateaux derivative  ... 
doi:10.23967/j.rimni.2019.03.004 fatcat:gkmoq2s4lraejhxsfae22pyu24

Deformable models in medical image analysis: a survey

Tim McInerney, Demetri Terzopoulos
1996 Medical Image Analysis  
This article surveys deformable models, a promising and vigorously researched computer-assisted medical image analysis technique.  ...  Among model-based techniques, deformable models offer a unique and powerful approach to image analysis that combines geometry, physics, and approximation theory.  ...  TM is grateful for the financial support of an NSERC postgraduate scholarship. DT is a fellow of the Canadian Institute for Advanced Research.  ... 
doi:10.1016/s1361-8415(96)80007-7 pmid:9873923 fatcat:pb3ros6vcbdhte4ifj7xnbqnfe

Pulsed Field Ablation for Pulmonary Vein Isolation in Atrial Fibrillation

Vivek Y. Reddy, Petr Neuzil, Jacob S. Koruth, Jan Petru, Moritoshi Funosako, Hubert Cochet, Lucie Sediva, Milan Chovanec, Srinivas R. Dukkipati, Pierre Jais
2019 Journal of the American College of Cardiology  
During pulsed field ablation (PFA), subsecond electric fields create microscopic pores in cell membranes-a process called electroporation.  ...  magnetic resonance imaging CT = computed tomography ICE = intracardiac echocardiography coverage.  ...  After written informed consent, patients underwent pre-procedural computed tomography (CT) scanning of PV anat- omy.  ... 
doi:10.1016/j.jacc.2019.04.021 pmid:31085321 fatcat:jrgoo36turg25kvedrztluewxu
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