-
1
-
-
33747812053
-
Axioms and fundamental equations of image processing
-
L. Alvarez, F. Guichard, P. L. Lions, and J. M. Morel, “Axioms and fundamental equations of image processing,” Arch. Ration. Mechan., vol. 123, pp. 199–257, 1993.
-
(1993)
Arch. Ration. Mechan.
, vol.123
, pp. 199-257
-
-
Alvarez, L.1
Guichard, F.2
Lions, P.L.3
Morel, J.M.4
-
2
-
-
0026883886
-
Image selective smoothing and edge detection by nonlinear diffusion
-
L. Alvarez, P. L. Lions, and J. M. Morel, “Image selective smoothing and edge detection by nonlinear diffusion,” SIAM J. Numer. Anal., vol. 29, pp. 845–866, 1992.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 845-866
-
-
Alvarez, L.1
Lions, P.L.2
Morel, J.M.3
-
3
-
-
34249767150
-
A geometric model for active contours
-
V. Caselles, F. Catte, T. Coll, and F. Dibos, “A geometric model for active contours,” Numer. Math., vol. 66, pp. 1–31, 1993.
-
(1993)
Numer. Math.
, vol.66
, pp. 1-31
-
-
Caselles, V.1
Catte, F.2
Coll, T.3
Dibos, F.4
-
4
-
-
0031071476
-
Geodesic active contours
-
V. Caselles, R. Kimmel, and G. Sapiro, “Geodesic active contours,” Int. J. Comput. Vis., vol. 22, pp. 61–79, 1997.
-
(1997)
Int. J. Comput. Vis.
, vol.22
, pp. 61-79
-
-
Caselles, V.1
Kimmel, R.2
Sapiro, G.3
-
5
-
-
84996946713
-
Partial differential equations and image processing
-
Austin, TX
-
A. Chambolle, “Partial differential equations and image processing,” in Proc. IEEE Int. Conf. Image Processing, Austin, TX, Nov. 1994.
-
(1994)
Proc. IEEE Int. Conf. Image Processing
-
-
Chambolle, A.1
-
6
-
-
84967708673
-
User's guide to viscosity solutions of second order partial linear differential equations
-
M. G. Crandall, H. Ishii, and P. L. Lions, “User's guide to viscosity solutions of second order partial linear differential equations,” Bull. Amer. Math. Soc., vol. 27, pp. 1–67, 1992.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.L.3
-
7
-
-
84972518016
-
Motion of level sets by mean curvature, I
-
L. C. Evans and J. Spruck, “Motion of level sets by mean curvature, I,” J. Differ. Geom., vol. 33, pp. 635–681, 1991.
-
(1991)
J. Differ. Geom.
, vol.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
8
-
-
0039148109
-
On the evolution of simple curves of the real projective plane
-
O. Faugeras, “On the evolution of simple curves of the real projective plane,” Comptes Rendus Acad. Sci. Paris, vol. 317, pp. 565–570, Sept. 1993.
-
(1993)
Comptes Rendus Acad. Sci. Paris
, vol.317
, pp. 565-570
-
-
Faugeras, O.1
-
9
-
-
0003832892
-
The syntactical structure of scalar images
-
Univ. Utrecht, The Netherlands
-
L. M. J. Florack, “The syntactical structure of scalar images,” Ph.D. dissertation, Univ. Utrecht, The Netherlands, 1993.
-
(1993)
Ph.D. dissertation
-
-
Florack, L.M.J.1
-
10
-
-
0000277320
-
Information theory in electron microscopy
-
D. Gabor, “Information theory in electron microscopy,” Lab. Investig., vol. 14, pp. 801–807, 1965.
-
(1965)
Lab. Investig.
, vol.14
, pp. 801-807
-
-
Gabor, D.1
-
11
-
-
84963023423
-
The heat equation shrinking convex plane curves
-
M. Gage and R. Hamilton, “The heat equation shrinking convex plane curves,” J. Differ. Geom., vol. 23, pp. 69–96, 1986.
-
(1986)
J. Differ. Geom.
, vol.23
, pp. 69-96
-
-
Gage, M.1
Hamilton, R.2
-
12
-
-
84972528479
-
The heat equation shrinks embedded plane curves to round points
-
M. Grayson, “The heat equation shrinks embedded plane curves to round points,” J. Differ. Geom., vol. 26, pp. 285–314, 1987.
-
(1987)
J. Differ. Geom.
, vol.26
, pp. 285-314
-
-
Grayson, M.1
-
13
-
-
0017531920
-
Partial differential equations and finite-difference methods in image processing, part 1: Image representation
-
A. K. Jain, “Partial differential equations and finite-difference methods in image processing, part 1: Image representation,” J. Optim. Theory Appl., vol. 23, pp. 65–91, 1977.
-
(1977)
J. Optim. Theory Appl.
, vol.23
, pp. 65-91
-
-
Jain, A.K.1
-
14
-
-
34250090755
-
Snakes: Active contour models
-
M. Kass, A. Witkn, and D. Terzopoulos, Snakes: Active contour models,” Int. J. Comput. Vis., vol. 1, pp. 321–331, 1988.
-
(1988)
Int. J. Comput. Vis.
, vol.1
, pp. 321-331
-
-
Kass, M.1
Witkn, A.2
Terzopoulos, D.3
-
15
-
-
0030488811
-
Conformal curvature flows: From phase transitions to active vision
-
S. Kichenassamy et al., “Conformal curvature flows: From phase transitions to active vision,” Arch. Ration. Mechan. Anal., vol. 134, pp. 275–301, 1996.
-
(1996)
Arch. Ration. Mechan. Anal.
, vol.134
, pp. 275-301
-
-
Kichenassamy, S.1
-
16
-
-
85008023190
-
Toward a computational theory of shape: An overview, ” in
-
New York: Springer-Verlag
-
B. B. Kimia, A. Tannenbaum, and S. W. Zucker, Toward a computational theory of shape: An overview,” in Lecture Notes in Computer Science, vol. 427. New York: Springer-Verlag, 1990.
-
(1990)
Lecture Notes in Computer Science
, vol.427
-
-
Kimia, B.B.1
Tannenbaum, A.2
Zucker, S.W.3
-
17
-
-
0021136434
-
The structure of images
-
J. J. Koenderink, “The structure of images,” Biol. Cybern., vol. 50, pp. 363–370, 1984.
-
(1984)
Biol. Cybern.
, vol.50
, pp. 363-370
-
-
Koenderink, J.J.1
-
18
-
-
0029255247
-
Shape modeling with front propagation: A level set approach
-
R. Malladi, J. A. Sethian, and B. C. Vemuri, “Shape modeling with front propagation: A level set approach,” IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 158–175, 1995.
-
(1995)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.17
, pp. 158-175
-
-
Malladi, R.1
Sethian, J.A.2
Vemuri, B.C.3
-
19
-
-
0001194005
-
Segmentation of images by variational methods: A constructive approach
-
J. M. Morel and S. Solimini, “Segmentation of images by variational methods: A constructive approach,” Rev. Mat. Univ. Complutense Madrid. vol. 1. pp. 169–182. 1988.
-
(1988)
Rev. Mat. Univ. Complutense Madrid.
, vol.1
, pp. 169-182
-
-
Morel, J.M.1
Solimini, S.2
-
20
-
-
84990602490
-
Optimal approximations by piecewise smooth functions and variational problems
-
D. Mumford and J. Shah, “Optimal approximations by piecewise smooth functions and variational problems,” Commun. Pure Appl. Math., vol. 42. 1989.
-
(1989)
Commun. Pure Appl. Math.
, vol.42
-
-
Mumford, D.1
Shah, J.2
-
21
-
-
3643077019
-
Universal scaling in the motion of random interfaces
-
T. Ohta, D. Jasnow, and K. Kawasaki “Universal scaling in the motion of random interfaces,” Phys. Rev. Lett., vol. 47, pp. 1223–1226, 1982.
-
(1982)
Phys. Rev. Lett.
, vol.47
, pp. 1223-1226
-
-
Ohta, T.1
Jasnow, D.2
Kawasaki, K.3
-
22
-
-
0001158471
-
Classification and uniqueness of invariant geometric flows
-
Aug.
-
P. Olver, G. Sapiro, and A. Tannenbaum, “Classification and uniqueness of invariant geometric flows,” Comptes Rendus Acad. Sci. Paris, vol. 319, pp. 339–344, Aug. 1994.
-
(1994)
Comptes Rendus Acad. Sci. Paris
, vol.319
, pp. 339-344
-
-
Olver, P.1
Sapiro, G.2
Tannenbaum, A.3
-
23
-
-
0031076812
-
Invariant geometric evolutions of surfaces and volumetric smoothing
-
pp.
-
_, “Invariant geometric evolutions of surfaces and volumetric smoothing,” SIAM J. Appl. Math., vol. 57–1, pp. 176–194, 1997.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 176-194
-
-
-
24
-
-
44749084234
-
Fronts propagation with curvature dependent speed: Algorithms based on Hamilton—Jacobi formulations
-
S. J. Osher and J. A. Sethian, “Fronts propagation with curvature dependent speed: Algorithms based on Hamilton—Jacobi formulations,” J. Comput. Phys., vol. 79, pp. 12-49, 1988.
-
(1988)
J. Comput. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.J.1
Sethian, J.A.2
-
25
-
-
0025474774
-
Feature-oriented image enhancement using shock filters
-
S. Osher and L. I. Rudin, “Feature-oriented image enhancement using shock filters,” SIAM J. Numer. Anal., vol. 27, pp. 919–940, 1990.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 919-940
-
-
Osher, S.1
Rudin, L.I.2
-
26
-
-
0025465145
-
Scale-space and edge detection using anisotropic diffusion
-
P. Perona and J. Malik, “Scale-space and edge detection using anisotropic diffusion,” IEEE Trans. Pattern Anal. Machine Intell., vol. 12. pp. 629–639. 1990.
-
(1990)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.12
, pp. 629-639
-
-
Perona, P.1
Malik, J.2
-
27
-
-
0025449302
-
Image enhancement and analysis with reaction-diffusion paradigm
-
C. B. Price, P. Wambacq, and A. Oosterlink, “Image enhancement and analysis with reaction-diffusion paradigm,” Proc. Inst. Elect. Eng., vol. 137. pp. 136–145. 1990.
-
(1990)
Proc. Inst. Elect. Eng.
, vol.137
, pp. 136-145
-
-
Price, C.B.1
Wambacq, P.2
Oosterlink, A.3
-
28
-
-
0003397756
-
Geometry Driven Diffusion in Computer Vision
-
Boston, MA: Kluwer
-
B. ter Haar Romeny, Ed., Geometry Driven Diffusion in Computer Vision. Boston, MA: Kluwer, 1994.
-
(1994)
-
-
ter Haar Romeny, B.1
-
29
-
-
0006559884
-
Nonlinear total variation based noise removal algorithms
-
INRIA
-
L. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” in Proc. Modeliz. Mat. Traitement d'Images, INRIA, 1992, pp. 149–179.
-
(1992)
Proc. Modeliz. Mat. Traitement d'Images
, pp. 149-179
-
-
Rudin, L.1
Osher, S.2
Fatemi, E.3
-
30
-
-
0029516636
-
Geometric partial differential equations in image processing: Past, present, and future
-
Washington, D.C.
-
G. Sapiro, “Geometric partial differential equations in image processing: Past, present, and future,” in Proc. 2nd IEEE Int. Conf. Image Processing, Washington, D.C., Oct. 1995.
-
(1995)
Proc. 2nd IEEE Int. Conf. Image Processing
-
-
Sapiro, G.1
-
31
-
-
0005906995
-
Histogram modification via PDE's
-
G. Sapiro and V. Caselles, “Histogram modification via PDE's,” J. Differ. Equ., vol. 135, pp. 238–268, 1997.
-
(1997)
J. Differ. Equ.
, vol.135
, pp. 238-268
-
-
Sapiro, G.1
Caselles, V.2
-
32
-
-
0030286977
-
Anisotropic diffusion of multivalued images with applications to color filtering
-
G. Sapiro and D. Ringach, “Anisotropic diffusion of multivalued images with applications to color filtering,” IEEE Trans. Image Processing, vol. 5, pp. 1582–1586, 1996.
-
(1996)
IEEE Trans. Image Processing
, vol.5
, pp. 1582-1586
-
-
Sapiro, G.1
Ringach, D.2
-
34
-
-
0001807945
-
On affine plane curve evolution
-
Jan.
-
G. Sapiro and A. Tannenbaum, “On affine plane curve evolution,” J. Funct. Anal., vol. 119, pp. 79–120, Jan. 1994.
-
(1994)
J. Funct. Anal.
, vol.119
, pp. 79-120
-
-
Sapiro, G.1
Tannenbaum, A.2
-
35
-
-
33747740980
-
Image Analysis and Mathematical Morphology, Vol. 2 : Theoretical Advances
-
New York: Academic
-
J. Serra, Image Analysis and Mathematical Morphology, Vol. 2: Theoretical Advances. New York: Academic, 1988.
-
(1988)
-
-
Serra, J.1
-
36
-
-
0002216995
-
Vector-valued diffusion
-
Boston, MA: Kluwer
-
R. T. Whitaker and G. Gerig, “Vector-valued diffusion,” in B. ter Haar Romeny, Ed., Geometry Driven Diffusion in Computer Vision. Boston, MA: Kluwer, 1994.
-
(1994)
B. ter Haar Romeny, Ed., Geometry Driven Diffusion in Computer Vision.
-
-
Whitaker, R.T.1
Gerig, G.2
|