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User-driven 3D mesh region targeting

Peter Karasev, James Malcolm, Marc Niethammer, Ron Kikinis, Allen Tannenbaum
2010 Medical Imaging 2010: Visualization, Image-Guided Procedures, and Modeling  
We refer to this user-driven procedure as targeting or selection interchangeably.  ...  A careful analysis of the geometric estimation process enables our geometric curve shortening to use a reliable smooth estimate of curvature and its gradient.  ...  Methods for Contour Selection Driven by Geometry Estimation The goal of curve evolution for sulci targeting/selection is shown in Fig. 1 .  ... 
doi:10.1117/12.845661 dblp:conf/miigp/KarasevMNKT10 fatcat:jgc6xp576fcqrmu3udcwpqpl7q

The normalized curve shortening flow and homothetic solutions

U. Abresch, J. Langer
1986 Journal of differential geometry  
Differential Geometry 23 (1986) , 69-96. [GaL] M. E. Gage and Y. Li, Evolving phase curve by curvature in relative geometries II , Duke Math. J. 75 (1994), 79-98. [MHGG 1] M. -H. Giga and Y.  ...  Gage, Evolving plane curve by curva ture in relative geometries, Duke Math . J. 72 (1993), 441-466. [GaH] M. E. Gage and R. Hamilton, The heat equation shrinking convex plane curves , J.  ...  Sethian, Level set methods, Evolving interfaces in geometry, fluid mechanics comuputer vision, and materials sciences, Cambridge Mono graphs on Applied and Computational Math ematics, 3 Cambridge University  ... 
doi:10.4310/jdg/1214440025 fatcat:22wr4g6vrrhopflbuoek3kaa4e

Energetics and symmetry of hohlraum targets driven by ion beam pulses with simple time shape

S. Atzeni, M. Temporal
1996 Fusion engineering and design  
Driven by Ex = 0.85-1.7 M J, they release Ef, s = 8-10 MJ.  ...  A fusion yield Efu S = 160-250 MJ is released by a capsule with fuel mass mDv = 3.3 mg, driven by a two-step pulse.  ...  In our study, we fix the converter geometry and position, and the capsule initial size; change the hohlraum area ratio a and aspect ratio z; and consider different time evolutions of the geometry.  ... 
doi:10.1016/s0920-3796(96)00520-0 fatcat:7qzmyysnjbbi5nxqavqkglmuyy

Introduction To The Special Issue On Partial Differential Equations And Geometry-driven Diffusion In Image Processing And Analysis

V. Caselles, J. Morel
1998 IEEE Transactions on Image Processing  
It should be noted that a number of the above approaches rely quite heavily on a large number of mathematical advances in differential geometry for curve evolution [12] and in viscosity solutions theory  ...  Introduction to the Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing and Analysis I. WHAT IS THIS SPECIAL ISSUE ABOUT?  ...  He works on differential geometry and geometric partial differential equations, both in theory and applications in computer vision and image analysis. Dr  ... 
doi:10.1109/tip.1998.661176 pmid:18276246 fatcat:vniq7umxlbbl3lwc5z5gytxm6m

Page 7754 of Mathematical Reviews Vol. , Issue 99k [page]

1999 Mathematical Reviews  
In this paper, the author considers the motion of convex and embedded plane curves under curvature-driven evolution equa- tions. Here a moving curve is described by a family of embeddings x, C — R?  ...  The paper contains what are as of now the most complete results in the direction of convex plane curve evolution.  ... 

Development of 3‐DCurved Fracture Swarms in Shale Rock Driven by Rapid Fluid Pressure Buildup: Insights from Numerical Modeling

Sanbai Li, Dongxiao Zhang
2021 Geophysical Research Letters  
We also elucidate the mechanical mechanisms that determine the evolution of three-dimensional curved fracture swarms.  ...  In this study, we introduce a novel numerical approach to model the evolution of fracture swarms with three-dimensional nonplanar geometries.  ... 
doi:10.1029/2021gl092638 fatcat:wy7l6zk2ajbfxaoxddtkkhbbcq

Numerical investigation of Richtmyer-Meshkov instability driven by cylindrical shocks

Baolin Tian, Dexun Fu, Yanwen Ma
2006 Acta Mechanica Sinica  
The nonlinear effect manifests more evidently in cylindrical geometry.  ...  In this paper, a numerical method with high order accuracy and high resolution was developed to simulate the Richtmyer-Meshkov(RM) instability driven by cylindrical shock waves.  ...  However, the nonlinear effect in curved geometry manifests more evidently than in planar geometry.  ... 
doi:10.1007/s10409-005-0083-1 fatcat:nmpb2zmsyzdj3atg7lu6idyyei

Endocytic proteins drive vesicle growth via instability in high membrane tension environment

Nikhil Walani, Jennifer Torres, Ashutosh Agrawal
2015 Proceedings of the National Academy of Sciences of the United States of America  
In addition, we present a new counterintuitive role of BAR depolymerization in regulating the shape evolution of vesicles.  ...  Going beyond the membrane geometry, we put forth a new stress-based perspective for the onset of vesicle scission and predict the shapes and composition of detached vesicles.  ...  Fig. 5 . 5 BAR-driven shape evolution of a vesicle. (A) Areal density and surface area of the BAR proteins (blue curve).  ... 
doi:10.1073/pnas.1418491112 pmid:25775509 pmcid:PMC4378438 fatcat:yjkjq24o5vhkbkwiovazjimec4

Theoretical Model for Cellular Shapes Driven by Protrusive and Adhesive Forces

Doron Kabaso, Roie Shlomovitz, Kathrin Schloen, Theresia Stradal, Nir S. Gov, Dimitrios Vavylonis
2011 PLoS Computational Biology  
We find that shapes driven by adhesion or by actin polymerization (lamellipodia) have very different morphologies, as observed in cells.  ...  Here we calculate the evolution of a two dimensional cell contour beyond the linear regime and determine the final steady-state shapes arising within the model.  ...  Shape evolution driven by adhesion (A actin~0 ,aw0) In Fig. 2a,b we plot the evolution of the system driven by the adhesion forces, for the flat and round geometries respectively.  ... 
doi:10.1371/journal.pcbi.1001127 pmid:21573201 pmcid:PMC3088653 fatcat:rkmo4l3hqnbcdgkwrk6a4qkv5e

Deionization Shock Driven by Electroconvection in a Circular Channel [article]

Zhibo Gu, Bingrui Xu, Peng Huo, Shmuel M. Rubinstein, Martin Z. Bazant, Daosheng Deng
2019 arXiv   pre-print
The spatiotemporal evolution of the salt concentration is directly visualized, revealing the propagation of a deionization shock wave driven by bulk electroconvection up to millimeter scales.  ...  The remarkable generality of deionization shocks under over-limiting current could be used to manipulate ion transport in complex geometries for desalination and water treatment.  ...  Propagation of EC-driven DS is limited by Ohmic current Spatiotemporal evolution of concentration (R1 = 100 µm).  ... 
arXiv:1901.10648v1 fatcat:n4oekbw6qbcubbxdluvwwhdevu

Bar-Induced Shocks and the Nature of Regions of Violent Star Formation

A. D. Chernin
1996 International Astronomical Union Colloquium  
Evolution of the curved shocks can lead to effective compression of the interstellar gas which produces favorable conditions for violent star formation in the vicinity of bars.  ...  The shock fronts may be curved, especially near the bar edges.  ...  While there are no "standard" solutions for shocks of such a geometry, some indications concerning their structure and evolution can be driven from general gas dynamics concepts using two gas dynamical  ... 
doi:10.1017/s0252921100050156 fatcat:k2mig6it2jfnzjdutf2rj4qizy

Evolution of Two-Dimensional Wormlike Nanoclusters on Metal Surfaces

Woei Wu Pai, John F. Wendelken, C. R. Stoldt, P. A. Thiel, J. W. Evans, Da-Jiang Liu
2001 Physical Review Letters  
A pinch-off phenomenon is discovered in the evolution of 2D wormlike nanoclusters formed in homoepitaxial adlayers.  ...  Continuum modeling of such evolution accurately describes experimental observations, particularly if one incorporates the anisotropy in step-edge line tension.  ...  A geometry driven pinch-off phenomenon, which is a signature of the periphery diffusion mechanism, is observed.  ... 
doi:10.1103/physrevlett.86.3088 pmid:11290114 fatcat:scvl262slnbszecc3ekdsceife

Combined evolution of level sets and B-spline curves for imaging

M. Fuchs, B. Jüttler, O. Scherzer, H. Yang
2008 Computing and Visualization in Science  
The evolution of the explicit B-spline curve is driven by the Mumford-Shah functional. We are mainly concerned with the segmentation of images using active contours.  ...  The concurrent evolution of spline curves enables us to identify geometries of dimension 1 which would be lost using only the level set approach.  ...  The additional evolution of curves driven by the speed function adds the advantages of an explicit representation to those of the level set evolution.  ... 
doi:10.1007/s00791-008-0110-4 fatcat:hdz5slpktfchvblwmy2hxdooa4

Page 308 of Journal of Engineering Mathematics Vol. 45, Issue 3-4 [page]

2003 Journal of Engineering Mathematics  
Fluid Mech. 406 (2000) 309-335 I Kreyszig, Differential Geometry. New York: Dover (1991) 352pp S. D. R. Wilson and A. F.  ...  Homsy, On the derivation of evolution equations for interfacial waves. Chem. Eneng. Comm. 2 (1976) 57 M. Cheng and H.-C.  ... 

New Developments in String Gravity and String Cosmology.A Summary Report [article]

Norma G. Sanchez
2002 arXiv   pre-print
New Developments in String Gravity and String Cosmology are reported: 1-String driven cosmology and its Predictions. 2-The primordial gravitational wave background in string cosmology. 3-Non-singular string  ...  and the String Phase of de Sitter space-time, 5-Hawking Radiation in String Theory and the String Phase of Black Holes. 6-New Dual Relation between Quantum Field Theory regimes and String regimes in Curved  ...  At a more fundamental level, this model is by its construction close to the standard cosmological evolution, and it is driven selfconsistently by the evolution of the string equation of state itself.  ... 
arXiv:hep-th/0209016v1 fatcat:q5pm7q3rt5b2zectdtqnc6cqae
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