-
1
-
-
0018480694
-
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
-
S. M. ALLEN & J. W. CAHN, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta Metall. 27, 1085-1095, 1979.
-
(1979)
Acta Metall.
, vol.27
, pp. 1085-1095
-
-
Allen, S.M.1
Cahn, J.W.2
-
2
-
-
0000005125
-
Axiomes et equations fondamentales du traitement d'images
-
L. ALVAREZ, F. GUICHARD, P. L. LIONS & J. M. MOREL, Axiomes et equations fondamentales du traitement d'images, C. R. Acad. Sci. Paris 315, 135-138, 1992.
-
(1992)
C. R. Acad. Sci. Paris
, vol.315
, pp. 135-138
-
-
Alvarez, L.1
Guichard, F.2
Lions, P.L.3
Morel, J.M.4
-
3
-
-
33747812053
-
-
Report #9216, CEREMADE, Université Paris Dauphine
-
L. ALVAREZ, F. GUICHARD, P. L. LIONS & J. M. MOREL, Axioms and fundamental equations of image processing, Report #9216, CEREMADE, Université Paris Dauphine, 1992; Arch. Rational Mech. Anal. 123, 200-257, 1993.
-
(1992)
Axioms and Fundamental Equations of Image Processing
-
-
Alvarez, L.1
Guichard, F.2
Lions, P.L.3
Morel, J.M.4
-
4
-
-
33747812053
-
-
L. ALVAREZ, F. GUICHARD, P. L. LIONS & J. M. MOREL, Axioms and fundamental equations of image processing, Report #9216, CEREMADE, Université Paris Dauphine, 1992; Arch. Rational Mech. Anal. 123, 200-257, 1993.
-
(1993)
Arch. Rational Mech. Anal.
, vol.123
, pp. 200-257
-
-
-
5
-
-
0001752835
-
Axiomatisation et nouveaux operateurs de la morphologie mathematique
-
L. ALVAREZ, F. GUICHARD, P. L. LIONS & J. M. MOREL, Axiomatisation et nouveaux operateurs de la morphologie mathematique, C. R. Acad. Sci. Paris 315, 265-268, 1992.
-
(1992)
C. R. Acad. Sci. Paris
, vol.315
, pp. 265-268
-
-
Alvarez, L.1
Guichard, F.2
Lions, P.L.3
Morel, J.M.4
-
6
-
-
0026883886
-
Image selective smoothing and edge detection by nonlinear diffusion
-
L. ALVAREZ, P. L. LIONS & J. M. MOREL, Image selective smoothing and edge detection by nonlinear diffusion, SIAM J. Num. Anal. 29, 845-866, 1992.
-
(1992)
SIAM J. Num. Anal.
, vol.29
, pp. 845-866
-
-
Alvarez, L.1
Lions, P.L.2
Morel, J.M.3
-
9
-
-
84972503988
-
On the formation of singularities in the curve shortening flow
-
S. ANGENENT, On the formation of singularities in the curve shortening flow, J. Diff. Geom. 33, 601-633, 1991.
-
(1991)
J. Diff. Geom.
, vol.33
, pp. 601-633
-
-
Angenent, S.1
-
10
-
-
33847303953
-
Multiphase thermomechanics with interfacial structure, 2: Evolution of an isothermal surface
-
S. ANGENENT & M. E. GURTIN, Multiphase thermomechanics with interfacial structure, 2: Evolution of an isothermal surface, Arch. Rational Mech. Anal. 108, 323-391, 1989.
-
(1989)
Arch. Rational Mech. Anal.
, vol.108
, pp. 323-391
-
-
Angenent, S.1
Gurtin, M.E.2
-
11
-
-
0001656433
-
The equations for large vibrations of strings
-
S. S. ANTMAN, The equations for large vibrations of strings, Amer. Math. Monthly 87, 359-370, 1980.
-
(1980)
Amer. Math. Monthly
, vol.87
, pp. 359-370
-
-
Antman, S.S.1
-
14
-
-
44949278065
-
Motion by mean curvature as a singular limit of Ginzburg-Landau dynamics
-
L. BRONSARD & R. V. KOHN, Motion by mean curvature as a singular limit of Ginzburg-Landau dynamics, J. Diff. Eqs. 90, 211-237, 1991.
-
(1991)
J. Diff. Eqs.
, vol.90
, pp. 211-237
-
-
Bronsard, L.1
Kohn, R.V.2
-
15
-
-
21344488703
-
On three phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation
-
L. BRONSARD & F. REITICH, On three phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation. Arch. Rational Mech. Anal. 124, 355-379, 1993.
-
(1993)
Arch. Rational Mech. Anal.
, vol.124
, pp. 355-379
-
-
Bronsard, L.1
Reitich, F.2
-
16
-
-
33646973938
-
Stefan and Hele-Shaw type models as asymptotic limits of phase field equations
-
G. CAGINALP, Stefan and Hele-Shaw type models as asymptotic limits of phase field equations, Phys. Rev. A 39, 887-896, 1989.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 887-896
-
-
Caginalp, G.1
-
17
-
-
0004307848
-
-
Technical Report #9210, CEREMADE, Université Paris Dauphine
-
V. CASELLES, F. CATTE, T. COLL & F. DIBOS, A geometric model for active contours in image processing, Technical Report #9210, CEREMADE, Université Paris Dauphine, 1992.
-
(1992)
A Geometric Model for Active Contours in Image Processing
-
-
Caselles, V.1
Catte, F.2
Coll, T.3
Dibos, F.4
-
18
-
-
0039810279
-
-
Technical Report, Department of Math. and Comp. Sciences, University of Illes Balears, 07071 Palma de Mallorca, Spain, March
-
V. CASELLES & C. SBERT, What is the best causal scale-space for 3D images?, Technical Report, Department of Math. and Comp. Sciences, University of Illes Balears, 07071 Palma de Mallorca, Spain, March 1994.
-
(1994)
What Is the Best Causal Scale-space for 3D Images?
-
-
Caselles, V.1
Sbert, C.2
-
19
-
-
84972499852
-
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
-
Y.-G. CHEN, Y. GIGA & S. GOTO, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Diff. Geom. 33, 749-786, 1991.
-
(1991)
J. Diff. Geom.
, vol.33
, pp. 749-786
-
-
Chen, Y.-G.1
Giga, Y.2
Goto, S.3
-
20
-
-
84972529405
-
Deforming convex hypersurfaces by the nth root of the gaussian curvature
-
B. CHOW, Deforming convex hypersurfaces by the nth root of the Gaussian curvature, J. Diff. Geom. 22, 117-138, 1985.
-
(1985)
J. Diff. Geom.
, vol.22
, pp. 117-138
-
-
Chow, B.1
-
21
-
-
84972560830
-
The maximum principle for semicontinuous functions
-
M. G. CRANDALL & H. ISHII, The maximum principle for semicontinuous functions, Diff. Integral Eqs. 3, 1001-1014, 1990.
-
(1990)
Diff. Integral Eqs.
, vol.3
, pp. 1001-1014
-
-
Crandall, M.G.1
Ishii, H.2
-
22
-
-
84967708673
-
Users guide to viscosity solutions of second order partial differential equations
-
M. G. CRANDALL, H. ISHII & P.-L. LIONS, Users guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27, 1-67, 1992.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
25
-
-
0003310610
-
The curve shortening flow
-
A. CHORIN & A. MAJDA, Editors, Springer-Verlag
-
C. L. EPSTEIN & M. GAGE, The curve shortening flow, in Wave Motion: Theory, Modeling, and Computation, A. CHORIN & A. MAJDA, Editors, Springer-Verlag, 1987.
-
(1987)
Wave Motion: Theory, Modeling, and Computation
-
-
Epstein, C.L.1
Gage, M.2
-
26
-
-
84972518016
-
Motion of level sets by mean curvature, i
-
L. C. EVANS & J. SPRUCK, Motion of level sets by mean curvature, I, J. Diff. Geom. 33, 635-681, 1991.
-
(1991)
J. Diff. Geom.
, vol.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
27
-
-
84990617538
-
Phase transitions and generalized motion by mean curvature
-
L. C. EVANS, H. M. SONER & P. E. SOUGANIDIS, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math. 45, 1097-1123, 1992.
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, pp. 1097-1123
-
-
Evans, L.C.1
Soner, H.M.2
Souganidis, P.E.3
-
28
-
-
0000500198
-
Curve shortening makes convex curves circular
-
M. GAGE, Curve shortening makes convex curves circular, Invent. Math. 76, 357-364, 1984.
-
(1984)
Invent. Math.
, vol.76
, pp. 357-364
-
-
Gage, M.1
-
29
-
-
84963023423
-
The heat equation shrinking convex plane curves
-
M. GAGE & R. S. HAMILTON, The heat equation shrinking convex plane curves, J. Diff. Geom. 23, 69-96, 1986.
-
(1986)
J. Diff. Geom.
, vol.23
, pp. 69-96
-
-
Gage, M.1
Hamilton, R.S.2
-
31
-
-
84972495800
-
Flow of nonconvex hypersurfaces into spheres
-
C. GERHARDT, Flow of nonconvex hypersurfaces into spheres, J. Diff. Geom. 32, 299-314, 1990.
-
(1990)
J. Diff. Geom.
, vol.32
, pp. 299-314
-
-
Gerhardt, C.1
-
32
-
-
84972561019
-
A short note on the evolution of a surface by its mean curvature
-
M. GRAYSON. A short note on the evolution of a surface by its mean curvature, Duke Math. J. 58, 555-558, 1989.
-
(1989)
Duke Math. J.
, vol.58
, pp. 555-558
-
-
Grayson, M.1
-
33
-
-
84972528479
-
The heat equation shrinks embedded plane curves to round points
-
M. GRAYSON, The heat equation shrinks embedded plane curves to round points, J. Diff. Geom. 26, 285-314, 1987.
-
(1987)
J. Diff. Geom.
, vol.26
, pp. 285-314
-
-
Grayson, M.1
-
34
-
-
0002993003
-
Shortening embedded curves
-
M. GRAYSON, Shortening embedded curves, Ann. Math 129, 71-111, 1989.
-
(1989)
Ann. Math
, vol.129
, pp. 71-111
-
-
Grayson, M.1
-
35
-
-
0039810274
-
-
A. GUPTA, L. VON KUROWSKI, A. SINGH, D. GEIGER, C.-C. LIANG, M.-Y. CHIU, L. P. ADLER, M. HAACKE & D. L. WILSON, Cardiac MRI analysis: segmentation of myocardial boundaries using deformable models preprint
-
A. GUPTA, L. VON KUROWSKI, A. SINGH, D. GEIGER, C.-C. LIANG, M.-Y. CHIU, L. P. ADLER, M. HAACKE & D. L. WILSON, Cardiac MRI analysis: segmentation of myocardial boundaries using deformable models preprint.
-
-
-
-
36
-
-
0001448409
-
Toward a non-equilibrium thermodynamics of two-phase materials
-
M. E. GURTIN, Toward a non-equilibrium thermodynamics of two-phase materials, Arch. Rational Mech. Anal. 100, 275-312, 1988.
-
(1988)
Arch. Rational Mech. Anal.
, vol.100
, pp. 275-312
-
-
Gurtin, M.E.1
-
37
-
-
0344818886
-
Multiphase thermomechanics with interfacial structure, 1: Heat conduction and the capillary balance law
-
M. GURTIN, Multiphase thermomechanics with interfacial structure, 1: Heat conduction and the capillary balance law, Arch. Rational Mech. Anal., 104, 185-221, 1988.
-
(1988)
Arch. Rational Mech. Anal.
, vol.104
, pp. 185-221
-
-
Gurtin, M.1
-
38
-
-
84972507688
-
Flow by mean curvature of convex surfaces into spheres
-
G. HUISKEN, Flow by mean curvature of convex surfaces into spheres, J. Diff. Geom. 20, 237-266, 1984.
-
(1984)
J. Diff. Geom.
, vol.20
, pp. 237-266
-
-
Huisken, G.1
-
39
-
-
0002635872
-
Generalized flow of sets by mean curvature on a manifold
-
T. ILMANEN, Generalized flow of sets by mean curvature on a manifold, Indiana Univ. Math. J. 41, 671-705, 1992.
-
(1992)
Indiana Univ. Math. J.
, vol.41
, pp. 671-705
-
-
Ilmanen, T.1
-
41
-
-
0029215266
-
Gradient flows and geometric active contours
-
S. KICHENASSAMY, A. KUMAR, P. J. OLVER, A. TANNENBAUM & A. YEZZI, Gradient flows and geometric active contours, Proceedings of the Fifth International Conference on Computer Vision, 810-816, 1995.
-
(1995)
Proceedings of the Fifth International Conference on Computer Vision
, pp. 810-816
-
-
Kichenassamy, S.1
Kumar, A.2
Olver, P.J.3
Tannenbaum, A.4
Yezzi, A.5
-
42
-
-
85008023190
-
Toward a computational theory of shape: An overview
-
Springer-Verlag
-
B. B. KIMIA, A. TANNENBAUM & S. W. ZUCKER, Toward a computational theory of shape: An overview, Lecture Notes in Computer Science 427, 402-407, Springer-Verlag, 1990
-
(1990)
Lecture Notes in Computer Science
, vol.427
, pp. 402-407
-
-
Kimia, B.B.1
Tannenbaum, A.2
Zucker, S.W.3
-
43
-
-
84997227931
-
Shapes, shocks and deformations, I
-
to appear in
-
B. B. KIMIA, A. TANNENBAUM & S. W. ZUCKER, Shapes, shocks and deformations, I, to appear in Int. J. Computer Vision.
-
Int. J. Computer Vision
-
-
Kimia, B.B.1
Tannenbaum, A.2
Zucker, S.W.3
-
44
-
-
0004707344
-
On the evolution of curves via a function of curvature, I: The classical case
-
B. B. KIMIA, A. TANNENBAUM & S. W. ZUCKER, On the evolution of curves via a function of curvature, I: the classical case, J. Math. Anal. Appls. 163, 438-458, 1992.
-
(1992)
J. Math. Anal. Appls.
, vol.163
, pp. 438-458
-
-
Kimia, B.B.1
Tannenbaum, A.2
Zucker, S.W.3
-
48
-
-
0029255247
-
Shape modeling with front propagation: A level set approach
-
R. MALLADI, J. SETHIAN & B. VEMURI, Shape modeling with front propagation: a level set approach, IEEE Trans. Pattern Anal. Machine Intell. 17, 158-175, 1995.
-
(1995)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.17
, pp. 158-175
-
-
Malladi, R.1
Sethian, J.2
Vemuri, B.3
-
49
-
-
0026903040
-
A theory of multiscale, curvature-based shape representation for planar curves
-
F. MOKHATARIAN & A. MACKWORTH. A theory of multiscale, curvature-based shape representation for planar curves. IEEE Trans. Pattern Anal. Machine Intell. 14, 789-805, 1992.
-
(1992)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.14
, pp. 789-805
-
-
Mokhatarian, F.1
Mackworth, A.2
-
51
-
-
0001318159
-
Evolution géométrique d'interfaces
-
P. DE MOTTONI & M. SCHATZMAN, Evolution géométrique d'interfaces, C. R. Acad. Sci. Paris, sér. I, Math. 309, 453-458, 1989.
-
(1989)
C. R. Acad. Sci. Paris, Sér. I, Math.
, vol.309
, pp. 453-458
-
-
De Mottoni, P.1
Schatzman, M.2
-
52
-
-
21544450961
-
Theory of thermal grooving
-
W. W. MULLINS, Theory of thermal grooving, J. Appl. Phys. 28, 333-339, 1957.
-
(1957)
J. Appl. Phys.
, vol.28
, pp. 333-339
-
-
Mullins, W.W.1
-
55
-
-
0011484422
-
Geometric invariant evolution of surfaces and volumetric smoothing
-
to appear in
-
P. J. OLVER, G. SAPIRO & A. TANNENBAUM, Geometric invariant evolution of surfaces and volumetric smoothing, to appear in SIAM J. Math. Anal., 1994.
-
(1994)
SIAM J. Math. Anal.
-
-
Olver, P.J.1
Sapiro, G.2
Tannenbaum, A.3
-
56
-
-
0021413939
-
Riemann solvers, the entropy condition, and difference approximations
-
S. OSHER, Riemann solvers, the entropy condition, and difference approximations, SIAM J. Numer. Anal. 21, 217-235, 1984.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 217-235
-
-
Osher, S.1
-
57
-
-
44749084234
-
Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. J. OSHER & J. A. SETHIAN, Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comp. Phys. 79, 12-49, 1988.
-
(1988)
J. Comp. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.J.1
Sethian, J.A.2
-
58
-
-
0025474774
-
Feature-oriented image enhancement using shock filters
-
S. OSHER & L. I. RUDIN, Feature-oriented image enhancement using shock filters, SIAM J. Num. Anal. 27, 919-940, 1990.
-
(1990)
SIAM J. Num. Anal.
, vol.27
, pp. 919-940
-
-
Osher, S.1
Rudin, L.I.2
-
61
-
-
0000334408
-
Fast reaction, slow diffusion, and curve shortening
-
J. RUBINSTEIN, P. STERNBERG & J. B. KELLER, Fast reaction, slow diffusion, and curve shortening. SIAM J. Appl. Math. 49, 116-133, 1989.
-
(1989)
SIAM J. Appl. Math.
, vol.49
, pp. 116-133
-
-
Rubinstein, J.1
Sternberg, P.2
Keller, J.B.3
-
63
-
-
0001041397
-
On invariant curve evolution and image analysis
-
G. SAPIRO & A. TANNENBAUM, On invariant curve evolution and image analysis, Indiana Univ. Math. J. 42, 985-1009, 1993.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 985-1009
-
-
Sapiro, G.1
Tannenbaum, A.2
-
65
-
-
34250118137
-
Curvature and the evolution of fronts
-
J. A. SETHIAN, Curvature and the evolution of fronts, Comm. Math. Phys. 101, 487-499, 1985.
-
(1985)
Comm. Math. Phys.
, vol.101
, pp. 487-499
-
-
Sethian, J.A.1
-
66
-
-
0001335838
-
A review of recent numerical algorithms for hypersurfaces moving with curvature dependent speed
-
J. A. SETHIAN, A review of recent numerical algorithms for hypersurfaces moving with curvature dependent speed, J. Diff. Geom. 31, 131-161, 1989.
-
(1989)
J. Diff. Geom.
, vol.31
, pp. 131-161
-
-
Sethian, J.A.1
-
67
-
-
0000655661
-
Crystal growth and dendritic solidification
-
J. A. SETHIAN & J. STRAIN, Crystal growth and dendritic solidification, J. Comp. Phys. 98, 1992.
-
(1992)
J. Comp. Phys.
, vol.98
-
-
Sethian, J.A.1
Strain, J.2
-
72
-
-
0024067275
-
Constraints on deformable models: Recovering shape and non-rigid motion
-
D. TERZOPOULOS & A. WITKIN, Constraints on deformable models: recovering shape and non-rigid motion, Artificial Intelligence 36, 91-123. 1988.
-
(1988)
Artificial Intelligence
, vol.36
, pp. 91-123
-
-
Terzopoulos, D.1
Witkin, A.2
-
73
-
-
0002371638
-
Tracking with Kalman snakes
-
edited by A. BLAKE & A. ZISSERMAN, MIT Press
-
D. TERZOPOULOS & R. SZELSKI, Tracking with Kalman snakes, in Active Vision edited by A. BLAKE & A. ZISSERMAN, MIT Press, 1992.
-
(1992)
Active Vision
-
-
Terzopoulos, D.1
Szelski, R.2
-
74
-
-
0039810196
-
Some recent developments in differential geometry
-
B. WHITE, Some recent developments in differential geometry, Math. Intelligencer 11, 41-47, 1989.
-
(1989)
Math. Intelligencer
, vol.11
, pp. 41-47
-
-
White, B.1
-
75
-
-
0040996964
-
Geometric active contours for segmentation of medical imagery
-
to appear in
-
A. YEZZI, S. KICHENASSAMY, A. KUMAR, P. OLVER & A. TANNENBAUM, Geometric active contours for segmentation of medical imagery, to appear in IEEE Trans. Medical Imaging.
-
IEEE Trans. Medical Imaging
-
-
Yezzi, A.1
Kichenassamy, S.2
Kumar, A.3
Olver, P.4
Tannenbaum, A.5
|