-
1
-
-
21344449262
-
Optimal geometry in equilibrium and growth
-
Symposium in Honor of B. Mandelbrot
-
F. Almgren and J.E. Taylor, Optimal geometry in equilibrium and growth. Fractals 3 (1995) 713-723. Symposium in Honor of B. Mandelbrot.
-
(1995)
Fractals
, vol.3
, pp. 713-723
-
-
Almgren, F.1
Taylor, J.E.2
-
4
-
-
33746157912
-
Gradient Flows in Metric Spaces and in the Space of Probability Measures
-
Birkhäuser Verlag, Basel
-
L. Ambrosio, N. Gigli and G. Savaré, Gradient Flows in Metric Spaces and in the Space of Probability Measures. Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2005).
-
(2005)
Lectures in Mathematics ETH Zürich
-
-
Ambrosio, L.1
Gigli, N.2
Savaré, G.3
-
5
-
-
55049122195
-
Parametric approximation of Willmore flow and related geometric evolution equations
-
J.W. Barrett, H. Garcke and R. Nürnberg, Parametric approximation of Willmore flow and related geometric evolution equations. SIAM J. Sci. Comput. 31 (2008) 225-253.
-
(2008)
SIAM J. Sci. Comput.
, vol.31
, pp. 225-253
-
-
Barrett, J.W.1
Garcke, H.2
Nürnberg, R.3
-
6
-
-
0038374781
-
Existence of minimizing willmore surfaces of prescribed genus
-
M. Bauer and E. Kuwert, Existence of minimizing Willmore surfaces of prescribed genus. Int. Math. Res. Not. 10 (2003) 553-576. (Pubitemid 36536054)
-
(2003)
International Mathematics Research Notices
, Issue.10
, pp. 553-576
-
-
Bauer, M.1
Kuwert, E.2
-
7
-
-
0242331729
-
Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
-
DOI 10.1038/nature02013
-
T. Baumgart, S.T. Hess and W.W. Webb, Image coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature 425 (2003) 821-824. (Pubitemid 37351463)
-
(2003)
Nature
, vol.425
, Issue.6960
, pp. 821-824
-
-
Baumgart, T.1
Hess, S.T.2
Webb, W.W.3
-
8
-
-
0039387708
-
Anisotropic motion by mean curvature in the context of Finsler geometry
-
G. Bellettini and M. Paolini, Anisotropic motion by mean curvature in the context of Finsler geometry. Hokkaido Math. J. 25 (1996) 537-566.
-
(1996)
Hokkaido Math. J.
, vol.25
, pp. 537-566
-
-
Bellettini, G.1
Paolini, M.2
-
10
-
-
0016118199
-
A vector thermodynamics for anisotropic surfaces. II. Curved and facetted surfaces
-
J.W. Cahn and D.W. Hoffman, A vector thermodynamics for anisotropic surfaces. II. Curved and facetted surfaces. Acta Metall. 22 (1974) 1205-1214.
-
(1974)
Acta Metall.
, vol.22
, pp. 1205-1214
-
-
Cahn, J.W.1
Hoffman, D.W.2
-
13
-
-
34247531351
-
Diffusion of liquid domains in lipid bilayer membranes
-
DOI 10.1021/jp0702088
-
P. Cicuta, S.L. Keller and S.L. Veatch, Diffusion of liquid domains in lipid bilayer membranes. J. Phys. Chem. B 111 (2007) 3328-3331. (Pubitemid 46652682)
-
(2007)
Journal of Physical Chemistry B
, vol.111
, Issue.13
, pp. 3328-3331
-
-
Cicuta, P.1
Keller, S.L.2
Veatch, S.L.3
-
14
-
-
2342475802
-
A finite element method for surface restoration with smooth boundary conditions
-
U. Clarenz, U. Diewald, G. Dziuk, M. Rumpf and R. Rusu, A finite element method for surface restoration with smooth boundary conditions. Comput. Aided Geom. Des. 21 (2004) 427-445.
-
(2004)
Comput. Aided Geom. Des.
, vol.21
, pp. 427-445
-
-
Clarenz, U.1
Diewald, U.2
Dziuk, G.3
Rumpf, M.4
Rusu, R.5
-
16
-
-
0032907795
-
Spontaneous curvature of fluid vesicles induced by trans-bilayer sugar asymmetry
-
DOI 10.1007/s002490050197
-
H.G. Döbereiner, O. Selchow and R. Lipowsky, Spontaneous curvature of fluid vesicles induced by trans-bilayer sugar asymmetry. Eur. Biophys. J. 28 (1999) 174-178. (Pubitemid 29225615)
-
(1999)
European Biophysics Journal
, vol.28
, Issue.2
, pp. 174-178
-
-
Dobereiner, H.-G.1
Selchow, O.2
Lipowsky, R.3
-
17
-
-
55149086752
-
A variational shape optimization approach for image segmentation with a Mumford-Shah functional
-
G. Doǧan, P. Morin and R.H. Nochetto, A variational shape optimization approach for image segmentation with a Mumford-Shah functional. SIAM J. Sci. Comput. 30 (2008) 3028-3049.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, pp. 3028-3049
-
-
Doǧan, G.1
Morin, P.2
Nochetto, R.H.3
-
18
-
-
34447274993
-
Discrete gradient flows for shape optimization and applications
-
DOI 10.1016/j.cma.2006.10.046, PII S0045782507001156
-
G. Doǧan, P. Morin, R.H. Nochetto and M. Verani, Discrete gradient flows for shape optimization and applications. Comput. Meth. Appl. Mech. Eng. 196 (2007) 3898-3914. (Pubitemid 47039025)
-
(2007)
Computer Methods in Applied Mechanics and Engineering
, vol.196
, Issue.37-40 SPEC. ISSUE
, pp. 3898-3914
-
-
Dogan, G.1
Morin, P.2
Nochetto, R.H.3
Verani, M.4
-
19
-
-
78651581571
-
Higher-order feature-preserving geometric regularization
-
M. Droske and M. Bertozzi, Higher-order feature-preserving geometric regularization. SIAM J. Imaging Sci. 3 (2010) 21-51.
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, pp. 21-51
-
-
Droske, M.1
Bertozzi, M.2
-
20
-
-
54249170447
-
Computational parametric Willmore flow
-
G. Dziuk, Computational parametric Willmore flow. Numer. Math. 111 (2008) 55-80.
-
(2008)
Numer. Math.
, vol.111
, pp. 55-80
-
-
Dziuk, G.1
-
22
-
-
77954144568
-
Modeling and computation of two phase geometric biomembranes using surface finite elements
-
C.M. Elliott and B. Stinner, Modeling and computation of two phase geometric biomembranes using surface finite elements. J. Comput. Phys. 229 (2010) 6585-6612.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 6585-6612
-
-
Elliott, C.M.1
Stinner, B.2
-
23
-
-
84943997802
-
Elastic properties of lipid bilayers - Theory and possible experiments
-
W. Helfrich, Elastic properties of lipid bilayers-theory and possible experiments. Zeitschrift Fur Naturforschung C-A J. Biosc. 28 (1973) 693.
-
(1973)
Zeitschrift fur Naturforschung C-A J. Biosc.
, vol.28
, pp. 693
-
-
Helfrich, W.1
-
24
-
-
2542438832
-
A second order shape optimization approach for image segmentation
-
M. Hintermüller and W. Ring, A second order shape optimization approach for image segmentation. SIAM J. Appl. Math. 64 (2003/04) 442-467.
-
(2003)
SIAM J. Appl. Math.
, vol.64
, pp. 442-467
-
-
Hintermüller, M.1
Ring, W.2
-
25
-
-
17544385421
-
An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
-
Special issue on mathematics and image analysis
-
M. Hintermüller and W. Ring, An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. J. Math. Imaging and Vision 20 (2004) 19-42. Special issue on mathematics and image analysis.
-
(2004)
J. Math. Imaging and Vision
, vol.20
, pp. 19-42
-
-
Hintermüller, M.1
Ring, W.2
-
26
-
-
0037534552
-
The equations of mechanical equilibrium of a model membrane
-
J.T. Jenkins, The equations of mechanical equilibrium of a model membrane. SIAM J. Appl. Math. 32 (1977) 755-764.
-
(1977)
SIAM J. Appl. Math.
, vol.32
, pp. 755-764
-
-
Jenkins, J.T.1
-
27
-
-
0003931047
-
-
Technical Report 3021, INRIA
-
R. Keriven and O. Faugeras, Variational principles, surface evolution, PDEs, level set methods and the stereo problem. Technical Report 3021, INRIA (1996).
-
(1996)
Variational Principles, Surface Evolution, PDEs, Level Set Methods and the Stereo Problem
-
-
Keriven, R.1
Faugeras, O.2
-
28
-
-
0032028276
-
Variational principles, surface evolution, PDE's, level set methods, and the stereo problem
-
PII S1057714998017485
-
R. Keriven and O. Faugeras, Variational principles, surface evolution, PDEs, level set methods and the stereo problem. IEEE Trans. Image Process. 7 (1998) 336-344. (Pubitemid 128745351)
-
(1998)
IEEE Transactions on Image Processing
, vol.7
, Issue.3
, pp. 336-344
-
-
Faugeras, O.1
Keriven, R.2
-
29
-
-
0038266749
-
Regularized Laplacian zero crossings as optimal edge integrators
-
R. Kimmel and A.M. Bruckstein, Regularized Laplacian zero crossings as optimal edge integrators. IJCV 53 (2003) 225-243.
-
(2003)
IJCV
, vol.53
, pp. 225-243
-
-
Kimmel, R.1
Bruckstein, A.M.2
-
30
-
-
0035289434
-
The Willmore flow with small initial energy
-
E. Kuwert and R. Schätzle, The Willmore flow with small initial energy. J. Differential Geom. 57 (2001) 409-441. (Pubitemid 33572474)
-
(2001)
Journal of Differential Geometry
, vol.57
, Issue.3
, pp. 409-441
-
-
Kuwert, E.1
Schatzle, R.2
-
31
-
-
0038779042
-
Gradient flow for the Willmore functional
-
E. Kuwert and R. Schätzle, Gradient flow for the Willmore functional. Comm. Anal. Geom. 10 (2002) 307-339.
-
(2002)
Comm. Anal. Geom.
, vol.10
, pp. 307-339
-
-
Kuwert, E.1
Schätzle, R.2
-
32
-
-
15744389246
-
Removability of point singularities of Willmore surfaces
-
E. Kuwert and R. Schätzle, Removability of point singularities of Willmore surfaces. Ann. Math. 160 (2004) 315-357. (Pubitemid 40419355)
-
(2004)
Annals of Mathematics
, vol.160
, Issue.1
, pp. 315-357
-
-
Kuwert, E.1
Schatzle, R.2
-
33
-
-
0001610210
-
Elastic properties of surfactant monolayers at liquid-liquid interfaces: A molecular dynamics study
-
M. Laradji and O.G. Mouritsen, Elastic properties of surfactant monolayers at liquid-liquid interfaces: A molecular dynamics study. J. Chem. Phys. 112 (2000) 8621-8630.
-
(2000)
J. Chem. Phys.
, vol.112
, pp. 8621-8630
-
-
Laradji, M.1
Mouritsen, O.G.2
-
35
-
-
33749855208
-
Phase-field models for anisotropic interfaces
-
G.B. McFadden, A.A. Wheeler, R.J. Braun, S.R. Coriell and R.F. Sekerka, Phase-field models for anisotropic interfaces. Phys. Rev. E 48 (1993) 2016-2024.
-
(1993)
Phys. Rev. e
, vol.48
, pp. 2016-2024
-
-
McFadden, G.B.1
Wheeler, A.A.2
Braun, R.J.3
Coriell, S.R.4
Sekerka, R.F.5
-
36
-
-
0012356447
-
Phase separation dynamics in mixtures containing surfactants
-
J. Melenkevitz and S.H. Javadpour, Phase separation dynamics in mixtures containing surfactants. J. Chem. Phys. 107 (1997) 623-629. (Pubitemid 127564388)
-
(1997)
Journal of Chemical Physics
, vol.107
, Issue.2
, pp. 623-629
-
-
Melenkevitz, J.1
Javadpour, S.H.2
-
37
-
-
25444527546
-
An algorithm for the elastic flow of surfaces
-
R. Rusu, An algorithm for the elastic flow of surfaces. Interfaces and Free Boundaries 7 (2005) 229-239. (Pubitemid 41360374)
-
(2005)
Interfaces and Free Boundaries
, vol.7
, Issue.3
, pp. 229-239
-
-
Rusu, R.E.1
-
38
-
-
0030735760
-
Configurations of fluid membranes and vesicles
-
U. Seifert, Configurations of fluid membranes and vesicles. Adv. Phys. 46 (1997) 13-137. (Pubitemid 127535649)
-
(1997)
Advances in Physics
, vol.46
, Issue.1
, pp. 13-137
-
-
Seifert, U.1
-
39
-
-
0000526405
-
Existence of surfaces minimizing the Willmore functional
-
L. Simon, Existence of surfaces minimizing the Willmore functional. Comm. Anal. Geom. 1 (1993) 281-326.
-
(1993)
Comm. Anal. Geom.
, vol.1
, pp. 281-326
-
-
Simon, L.1
-
40
-
-
0011599168
-
The Willmore flow near spheres
-
G. Simonett, The Willmore flow near spheres. Differential Integral Equations 14 (2001) 1005-1014. (Pubitemid 33278185)
-
(2001)
Differential and integral equations
, vol.14
, Issue.8
, pp. 1005-1014
-
-
Simonett, G.1
-
43
-
-
84966261517
-
Crystalline variational problems
-
J.E. Taylor, Crystalline variational problems. Bull. Amer. Math. Soc. 84 (1978) 568-588.
-
(1978)
Bull. Amer. Math. Soc.
, vol.84
, pp. 568-588
-
-
Taylor, J.E.1
-
44
-
-
0026899706
-
Mean curvature and weighted mean curvature
-
J.E. Taylor, Mean curvature and weighted mean curvature. Acta Metall. Mater. 40 (1992) 1475-1485.
-
(1992)
Acta Metall. Mater.
, vol.40
, pp. 1475-1485
-
-
Taylor, J.E.1
-
45
-
-
21844495223
-
Linking anisotropic sharp and diffuse surface motion laws via gradient flows
-
J.E. Taylor and J.W. Cahn, Linking anisotropic sharp and diffuse surface motion laws via gradient flows. J. Stat. Phys. 77 (1994) 183-197.
-
(1994)
J. Stat. Phys.
, vol.77
, pp. 183-197
-
-
Taylor, J.E.1
Cahn, J.W.2
-
46
-
-
0000757584
-
Diffuse interfaces with sharp corners and facets: Phase field models with strongly anisotropic surfaces
-
PII S0167278997001772
-
J.E. Taylor and J.W. Cahn, Diffuse interfaces with sharp corners and facets: Phase field modeling of strongly anisotropic surfaces. Physica D 112 (1998) 381-411. (Pubitemid 128676478)
-
(1998)
Physica D: Nonlinear Phenomena
, vol.112
, Issue.3-4
, pp. 381-411
-
-
Taylor, J.E.1
Cahn, J.W.2
-
47
-
-
0242385346
-
Separation of Liquid Phases in Giant Vesicles of Ternary Mixtures of Phospholipids and Cholesterol
-
S.L. Veatch and S.L. Keller, Separation of liquid phases in giant vesicles of ternary mixtures of phospholipids and cholesterol. Biophys. J. 85 (2003) 3074-3083. (Pubitemid 37345795)
-
(2003)
Biophysical Journal
, vol.85
, Issue.5
, pp. 3074-3083
-
-
Veatch, S.L.1
Keller, S.L.2
-
48
-
-
0000747861
-
A ξ-vector formulation of anisotropic phase-field models: 3D asymptotics
-
A.A. Wheeler and G.B. McFadden, A ξ -vector formulation of anisotropic phase-field models: 3D asymptotics. Eur. J. Appl. Math. 7 (1996) 367-381. (Pubitemid 126416023)
-
(1996)
European Journal of Applied Mathematics
, vol.7
, Issue.4
, pp. 367-381
-
-
Wheeler, A.A.1
McFadden, G.B.2
|