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Fast Asymmetric Fronts Propagation for Image Segmentation

Da Chen, Laurent D. Cohen
2017 Journal of Mathematical Imaging and Vision  
The numerical implementations are carried out by the Finsler variant of the fast marching method, leading to very efficient interactive segmentation schemes.  ...  We consider a Finsler metric with the Randers form, through which the asymmetry and anisotropy enhancements can be taken into account to prevent the fronts leaking problem during the fronts propagation  ...  Fast Marching Fronts Propagation Scheme The fast marching method estimates the geodesic distance map U s in a wave front propagation manner.  ... 
doi:10.1007/s10851-017-0776-7 fatcat:gbbys3ucsvdula6ku4s5hug4wu

Tubular Structure Segmentation Based on Minimal Path Method and Anisotropic Enhancement

Fethallah Benmansour, Laurent D. Cohen
2010 International Journal of Computer Vision  
The basic tools are minimal paths solved using the fast marching algorithm.  ...  The crucial step of our method is the definition of the local metrics to minimize. We have chosen to exploit the tubular structure of the vessels one wants to extract to built an anisotropic metric.  ...  Paper outline In section 2, we give some background on the minimal path method and Anisotropic Fast Marching.  ... 
doi:10.1007/s11263-010-0331-0 fatcat:p3rbxglsvjhapai36ckfm2adnm

A review of 3D vessel lumen segmentation techniques: Models, features and extraction schemes

David Lesage, Elsa D. Angelini, Isabelle Bloch, Gareth Funka-Lea
2009 Medical Image Analysis  
We structure our analysis along three axes: models, features and extraction schemes.  ...  Finally, we discuss how existing extraction schemes combine model and feature information to perform the segmentation task.  ...  (f) Anisotropic fast-marching with freezing. Illustration based on material from Lin and May (2003) .  ... 
doi:10.1016/j.media.2009.07.011 pmid:19818675 fatcat:rroixlliubb6nfmvlhahdqtniq

Robust semi-automated path extraction for visualising stenosis of the coronary arteries

Daniel Mueller, Anthony Maeder
2008 Computerized Medical Imaging and Graphics  
A key contribution is a novel Fast Marching minimal path cost function for vessel centreline extraction.  ...  Deschamps proposed two possible mechanisms for dealing with this issue: (1) alter the Fast Marching algorithm to freeze Trial points which have reached the boundary of the object, and/or (2) stop the front  ...  Marching minimal path technique with additive Gaussian noise of varying standard deviation σ n = [0, 10, 20] (Path).  ... 
doi:10.1016/j.compmedimag.2008.05.003 pmid:18603408 fatcat:my2qzk5ud5e3hjr7e4abr7cbea

Geodesic Methods in Computer Vision and Graphics

Gabriel Peyré
2009 Foundations and Trends in Computer Graphics and Vision  
geodesic distance is used to solve many problems of practical interest such as segmentation using geodesic balls and Voronoi regions, sampling points at regular geodesic distance or meshing a domain with  ...  The shortest paths for this Riemannian distance, the so-called geodesics, are also important because they follow salient curvilinear structures in the domain.  ...  It was used for finding a minimal path between two points with Fast Marching in [95] .  ... 
doi:10.1561/0600000029 fatcat:oe2kxm2lofff7gsqn4f7yraa4i

Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs [chapter]

Bertrand Peny, Gozde Unal, Greg Slabaugh, Tong Fang, Christopher Alvino
2006 Lecture Notes in Computer Science  
[2, 3] used a fast marching algorithm for segmenting tubular structures like vessels, incorporating geodesic distance of the points on the propagation path to the seed point as a freezing measure.  ...  Method The fast marching algorithm [9] is designed to compute the position of a propagating front with position varying speed given by the function F > 0.  ... 
doi:10.1007/11821045_36 fatcat:vzc27ceigbcjppl7bba67mugyq

3D distance fields: a survey of techniques and applications

M.W. Jones, J.A. Baerentzen, M. Sramek
2006 IEEE Transactions on Visualization and Computer Graphics  
The Fast Marching Method The fast marching method (FMM) [125] , [106] , [107] , [55] is a technique for computing the arrival time of a front (which we can think of as, e.g., a balloon) expanding  ...  If voxel is not frozen, freeze voxel compute unfrozen neighbors and insert them in priority queue We will refer to this simplified fast marching method as SFMMHA.  ... 
doi:10.1109/tvcg.2006.56 pmid:16805266 fatcat:yay3k23pcrczndx2ti4cqpnwu4

Da CHEN New Minimal Paths Models for Tubular Structure Extraction and Image Segmentation

Laurent Cohen, Laurent Cohen, Ron Kimmel, Remco Duits, Paris Dauphine, Jean-Marie Mirebeau, Uunniivveerrssiittøø Ppaarriiss, --Ssuud Ggrrøøggooiirree, Mmaallaannddaaiin Inria, Sophia Antipolis, Roberto Ardon, Da Chen (+2 others)
2016 unpublished
with a freezing scheme as described in Algorithm 5.C o m p a r i n g against the regular fast marching method, the freezing scheme-based method set the value of the latest Accepted point as 1 if this  ...  fast marching front propagation method with respect to an anisotropic dynamic Riemannian metric.  ...  Appendix A Proof of Finsler Elastica Minimal Paths Convergence This proof was obtained from a joint work (Chen et al., 2016a) with Dr. Jean-Marie Mirebeau.  ... 
fatcat:zopo4ohzlvb6rjim7cz7774j2e

Towards the Virtual Physiological Human [article]

Nadia Magnenat-Thalmann, Benjamin Gilles, Hervé Delingette, Andrea Giachetti, Marco Agus
2007 Eurographics State of the Art Reports  
We will focus on the computer graphics aspects involved in medical modelling/ simulation: deformable model-based segmentation, mesh optimisation, data fusion, interactive mechanical simulation, cost-efficient  ...  Three levels of complexity can be distinguished (geometry, function and control) where modelling and simulation methods take place.  ...  However, explicit schemes are simpler to compute and may not require the matrix inversion. [TWK87b] , computer graphics [TPBF87] and for modeling elastic tubular surface tissue [Meg96] .  ... 
doi:10.2312/egt.20071062 fatcat:iyybqfp4nnadhfkaeagp6qr63q

Biomedical Visualization [chapter]

Chris R. Johnson, Xavier Tricoche
2009 Advances in Biomedical Engineering  
In addition, the marching cubes method proposed a simple and efficient local triangulation scheme that uses a lookup table.  ...  Combined with a new fast visibility query and a robust normal estimation scheme, our method allows for the interactive interrogation of large data sets (e.g. the full NIH NLM Visible Female dataset (1GB  ... 
doi:10.1016/b978-0-444-53075-2.00006-x fatcat:ewd3kgeki5fthj55kfoce6bkcm

Keynote Lecturers [chapter]

2016 Challenges and Innovations in Geotechnics  
freez ing front.  ...  Transient signals were minimized from visualization by removing windows of high transient signals to carry out Fast Fourier Transform (FFT) to obtain Fourier spectra.  ... 
doi:10.1201/9781315374949-8 fatcat:3y3nrdy64vatdpfayxmvjzowki

On the applicability of models for outdoor sound

Karsten B. Rasmussen
1999 Journal of the Acoustical Society of America  
TUESDAY AFTERNOON, 16 MARCH 1999 ROOM H105, 4:15 TO 6:20 P.M.  ...  Absorption coefficient values used in the model have been adjusted using measured reverberation time data, and thus the results were obtained for the other acoustic parameters in the different octave bands  ...  Twodimensional statistical models are needed to capture the anisotropic nature of sediments with oriented features, while for seafloors with peaked forms, it is the phase information in the frequency domain  ... 
doi:10.1121/1.425063 fatcat:rx6rqlhfqras5gqdrobu6sl4vi

Ultrasonic splitting of oil‐in‐water emulsions

Ralf König, Ewald Benes, Martin Gröschl, Jens Hald
1999 Journal of the Acoustical Society of America  
TUESDAY AFTERNOON, 16 MARCH 1999 ROOM H105, 4:15 TO 6:20 P.M.  ...  Absorption coefficient values used in the model have been adjusted using measured reverberation time data, and thus the results were obtained for the other acoustic parameters in the different octave bands  ...  Twodimensional statistical models are needed to capture the anisotropic nature of sediments with oriented features, while for seafloors with peaked forms, it is the phase information in the frequency domain  ... 
doi:10.1121/1.424512 fatcat:vtwriesktjcihcne2wjrqgpuu4

The Growth, Structure, and Properties of Sea Ice [chapter]

W. F. Weeks, S. F. Ackley
1986 The Geophysics of Sea Ice  
Cox and Weeks develop a more complex model and utilize it via the application of a finite difference scheme to calculate the change in salinity that should occur in first-year ice.  ...  produced by recrystallization in an anisotropic stress field.  ... 
doi:10.1007/978-1-4899-5352-0_2 fatcat:hjhgnyqo4zbanipo6etj4hjtve

A design methodology for 2D sparse NDE arrays using an efficient implementation of refracted-ray TFM

Jerzy Dziewierz, Timothy Lardner, Anthony Gachagan
2013 2013 IEEE International Ultrasonics Symposium (IUS)  
One of these technologies takes advantage of the acoustic radiation forces associated with ultrasound standing wave fields to spatially pattern cells within collagen-based hydrogels.  ...  Sparse aperture S-sequence encoding with multi-element virtual source excitation can lead to high-SNR fast imaging with minimal distortion.  ...  Time-of-flight (TOF) calculations can be overcome by using the Fast Marching Method 1 , which is based on the solution of the Eikonal equation.  ... 
doi:10.1109/ultsym.2013.0035 fatcat:th5znfh7y5bklfdbmhb4u6iq2i
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