Benjamin Kimia, Allen Tannenbaum, Steven W. Zucker  Home/Search
Context Related
| brown.edu/vision/p...iacontrol1994.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: brown.edu/vision/publicat...index (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: In this paper, we discuss the employment of methods from optimal control for problems in computer vision and image processing. The underlying principle will be that of dynamic programming and the associated Hamilton-Jacobi equation which allows a uni ed approach to tackle a number of di erent issues in vision. In particular, we will consider problems concerning shape theory, morphology, optical ow, nonlinear scale-spaces, and shape-fromshading. (Update)
Context of citations to this paper: More
...is slippery and elusive. Recent growth in level set techniques (Osher and Sethian, 1988; Sethian, 1996) and variational methods (Kimia et al. 1994) have created new interest in understanding and manipulating complex surface models directly from the surface representation....
...that particle control of such surfaces is slippery and elusive. Recent growth in level set techniques [9, 12] and variational methods [7] have created new interest in understanding and manipulating complex surface models directly from the surface representation. Whitaker...
Cited by: More
Interpolating Implicit Surfaces From Scattered Surface Data - Using Compactly Supported (2001) (Correct)
Hamilton-Jacobi Skeletons - Siddiqi, Bouix, Tannenbaum, Zucker (1999) (Correct)
Interpolating Implicit Surfaces From Scattered.. - Morse, Yoo.. (2001) (Correct)
Active bibliography (related documents): More All
0.7: Conformal Curvature Flows: From Phase Transitions to Active.. - Kichenassamy, Kumar (1995) (Correct)
0.7: A Gradient Surface Evolution Approach to 3D Segmentation - Yezzi, Jr., Kichenassamy (Correct)
0.6: Gradient Flows and Geometric Active Contour Models - Kichenassamy, Kumar, al. (1994) (Correct)
Similar documents based on text: More All
0.1: Three-Dimensional Shape Representation via Shock Flows - Leymarie (2003) (Correct)
0.1: Caribbean Ocean History and the Cretaceous/Tertiary Boundary.. - Sigurdsson, Leckie (Correct)
0.1: Automatic Volumetric Segmentation of Three-Dimensional Medical.. - Tek, Kimia (Correct)
Related documents from co-citation: More All
4: Level Set Methods: Evolving Interfaces in Geometry (context) - Sethian - 1996
3: Variational Implicit Surfaces - Greg, O'Brien - 1999
3: A Set of Level 3 Basic Linear Algebra Subprograms (context) - Dongarra, DuCroz et al. - 1989
BibTeX entry: (Update)
B. Kimia, A. Tannenbaum, and S. Zucker. On optimal control methods in computer vision and image processing. In B. t.H. Romeny, editor, Geometry Driven Diffusion in Computer Vision, pages 307--338. Kluwer, 1994. http://citeseer.ist.psu.edu/kimia94optimal.html More
@misc{ kimia94optimal,
author = "B. Kimia and A. Tannenbaum and S. Zucker",
title = "On optimal control methods in computer vision and image processing",
text = "B. Kimia, A. Tannenbaum, and S. Zucker. On optimal control methods in computer
vision and image processing. In B. t.H. Romeny, editor, Geometry Driven
Diffusion in Computer Vision, pages 307--338. Kluwer, 1994.",
year = "1994",
url = "citeseer.ist.psu.edu/kimia94optimal.html" }
Citations (may not include all citations):1386 Snakes: active contour models (context) - Kass, Witkin et al. - 1987
575 Image Analysis and Mathematical Morphology (context) - Serra - 1982
540 Scale-space and edge detection using anisotropic di usion (context) - Perona, Malik - 1990
463 Computer and Robot Vision (context) - Haralick, Shapiro - 1992
453 Visual Reconstruction (context) - Blake, Zisserman - 1987
363 Mathematical Methods in Classical Mechanics (context) - Arnold
248 Image selective smoothing and edge detection by nonlinear di.. (context) - Alvarez, Lions et al. - 1992
225 Shape modeling with front propagation: a level set approach .. - Malladi, Sethian et al.
224 Numerical Methods for Conservation Laws (context) - LeVeque - 1992
209 Optimal approximations by piecewise smooth functions and ass.. (context) - Mumford, Shah - 1989
205 Biological Cybernetics (context) - Koenderink, of - 1984
193 Solid Shape (context) - Koenderink - 1990
180 Random Sets and Integral Geometry (context) - Matheron - 1975
164 Introduction to Applied Mathematics (context) - Strang
163 Controlled Markov processes and viscosity solutions (context) - Fleming, Soner - 1993
139 Shape from Shading (context) - Horn, Brooks - 1989
129 Viscosity solutions of Hamilton-Jacobi equations (context) - Crandall, Lions - 1983
124 The heat equation shrinks embedded plane curves to round poi.. (context) - Grayson - 1987
114 Generalized Solutions of Hamilton-Jacobi Equations (context) - Lions - 1982
104 The heat equation shrinking convex plane curves (context) - Gage, Hamilton - 1986
89 Biological shape and visual science (context) - Blum - 1973
88 Fronts propagation with curvature dependent speed: Algorithm.. (context) - Osher, Sethian - 1988
87 A viscosity solutions approach to shape-from-shading (context) - Rouy, Tourin - 1992
67 Feature-oriented image enhancement using shock lters (context) - Osher, Rudin - 1990
57 Toward a computational theory of shape: An overview (context) - Kimia, Tannenbaum et al. - 1990
56 The Measurement of Visual Motion (context) - Hildreth - 1983
55 Curvature and the evolution of fronts (context) - Sethian - 1985
50 erential Geometry of Curves and Surfaces (context) - Carmo - 1976
49 Calculus of Variations (context) - Gelfand, Fomin - 1963
44 The Syntactical Structure of Scalar Images (context) - Florack - 1993
44 A review of recent numerical algorithms for hypersurfaces mo.. (context) - Sethian - 1989
39 Shortening embedded curves (context) - Grayson - 1989
38 the evolution of curves via a function of curvature (context) - Kimia, Tannenbaum et al. - 1992
35 A multiscale algorithm for image segmentation by variational.. - er, Lopez et al.
33 An Analysis of Flame Propagation (context) - Sethian - 1982
33 Determining optical ow (context) - Horn, Schunck - 1981
30 Evolution equations for continuous-scale morphology (context) - Brockett, Maragos - 1992
29 On invariant curve evolution and image analysis (context) - Sapiro, Tannenbaum - 1993
23 Axiomatisation et nouveaux operateurs de la morphologie math.. (context) - Alvarez, Guichard et al. - 1992
22 Shock Waves and Reaction-di usion Equations (context) - Smoller - 1983
20 An optimal control formulation and related numerical methods.. (context) - Dupuis, Oliensis - 1993
18 Crystal growth and dendritic solidi cation (context) - Sethian, Strain - 1992
18 Implementing continuous-scale morphology via curve evolution (context) - Sapiro, Kimmel et al.
18 Mathematical morphology: The Hamilton-Jacobi Connection (context) - Arehart, Vincent et al. - 1992
17 the mathematical foundations of smoothness constraints for t.. (context) - Snyder - 1991
17 Axiomes et equations fondamentales du traitement d`images (context) - Alvarez, Guichard et al. - 1992
17 Numerical Methods in Fluid Dynamics (context) - Sod - 1985
16 Curve shortening makes convex curves circular (context) - Gage - 1984
16 Users guide to viscosity solutions of second order partial d.. (context) - Crandall, Ishii et al. - 1992
13 Maximum Principles in Di erential Equations (context) - Protter, Weinberger - 1984
13 Ane invariant scale-space (context) - Sapiro, Tannenbaum - 1993
13 Shape from shading via level sets (context) - Kimmel, Siddiqi et al. - 1992
11 curvature-based shape representation for planar curves (context) - Mokhatarian, Mackworth et al. - 1992
10 and curve shortening (context) - Rubinstein, Sternberg et al. - 1989
7 Toward a Computational Theory of Shape (context) - Kimia - 1990
7 Uniqueness of the Gaussian kernel for scale-space ltering (context) - Babaud, Witkin et al. - 1986
5 and di erence approximations (context) - Osher, solvers et al. - 1984
5 the formation of singularities in the curve shortening ow (context) - Angenent - 1991
5 Visual Information in a Feedback Loop (context) - Kumar - 1994
3 Shape from shading (context) - Lions, Rouy et al. - 1991
2 Remarks on a ame propagation model (context) - Barles - 1985
2 On ane plane curve evolution (context) - Sapiro, Tannenbaum
1 of Visual Form Workshop (context) - Kimia, Tannenbaum et al. - 1991
1 to appear in Int (context) - Kimia, Tannenbaum et al.
1 Scale-based description of planar curves and twodimensional .. (context) - Mokhatarian, Mackworth - 1986
1 Nonsmooth Analysis (context) - Clarke - 1987
1 The curve shortening ow (context) - Epstein, Gage - 1987
Documents on the same site (http://www.lems.brown.edu/vision/publications/index.html): More
Practical Reliable Bayesian Recognition of 2D and 3D.. - Subrahmonia, Cooper.. (1996) (Correct)
New, Faster, More Controlled Fitting of Implicit Polynomial 2D.. - Lei, Cooper (1996) (Correct)
Pose Estimation of Free-Form 3D Objects without Point.. - Tarel, Civi, Cooper (1998) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC