Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Suri, J. S., Setarehdan, S. K. and Singh, S., Advanced Algorithmic Approaches to Medical Image Segmentation: State-of-the-Art Applications in Cardiology, Neurology, Mammography and Pathology, ISBN 1-85233-389-8, First Eds. In Press, 2001.
Suri, J. S., Two Dimensional Fast MR Brain Segmentation Using a Region-Based Level Set Approach, Accepted for Publication in Int. Journal of Engineering in Medicine and Biology, 2001.
Chopp, D. L., Computing Minimal Surfaces via Level Set Curvature Flow, Journal of Comput. Physics, Vol. 106, No. 1, pp. 77–91, 1993.
Lachaud, J. O. and Montanvert, A., Deformable Meshes with Automated Topology Changes for Coarse-to-Fine 3D Surface Extraction, Medical Image Analysis, Vol. 3, No. 2, pp. 187–207, 1999.
Lachaud, J. O. and Bainville, E., A discrete adaptative model following topological modifications of volumes, in Proc. of the 4th Discrete Geometry for Computer Imagery (DGCI), Grenoble, France, pp. 183–194, 1994.
Lachaud, J. O. and Montanvert, A., Continuous analogs of digital boundaries: A topological approach to iso-surfaces, Graphical Models and Image Processing (GMIP), Vol. 62, No. 3, pp. 129–164, 2000.
Malgouyres, R. and Lenoir, A., Topology Preservation within Digital Surfaces, Graphical Models, Vol. 62, No. 2, pp. 71–84, 2000.
Kong, T. Y. and Rosenfeld, A., Digital Topology: Introduction and Survey, Computer Vision, Graphics and Image Processing, Vol. 48, No. 3, pp. 357–393, 1989.
Bertalmio, M., Sapiro, G. and Randall, G., Region tracking on level-sets methods, IEEE Trans. on Med. Imaging, Vol. 18, No. 5, pp. 448–51, May 1999.
DeCarlo, D. and Gallier, J., Topological Evolution of Surfaces, Graphics Interface, pp. 194–203, 1996.
Angenent, S., Chopp, D. and Ilmanen, T., On the singularities of cones evolving by mean curvature, Communications in Partial Differential Equations (CPDE), Vol. 20, No. 11/12, pp. 1937–1958, 1995.
Chopp, D. L., Flow under curvature: Singularity formation, minimal surfaces and geodesics, Experimental Mathematics, Vol. 2, No. 4, pp. 235–255, 1993.
Chopp, D. L., Numerical computation of self-similar solutions for mean curvature flow, Experimental Mathematics, Vol. 3, No. 1, pp. 1–15, 1993.
Sethian, J. A., Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws, J. of Differential Geometry, Vol. 31, No. 1, pp. 131–161, 1990.
Sethian, J. A., Curvature flow and entropy conditions applied to grid generation, J. Computational Physics, Vol. 115, No. 1, pp. 440–454, 1994.
Mulder, W., Osher, S. J. and Sethian, J. A., Computing interface motion in compressible gas dynamics, J. Computational Physics, Vol. 100, No. 1, pp. 209–228, 1992.
Sethian, J. A., Algorithms for tracking interfaces in CFD and material science, Annual Review of Computational Fluid Mechanics, 1995.
Sussman, M., Smereka, P. and Osher, S. J., A level set method for computing solutions to incompressible two-phase flow, J. Computational Physics, Vol. 114, No. 1, pp.146–159, 1994.
Rhee, C., Talbot, L. and Sethian, J. A., Dynamical study of a premixed V-flame, J. of Fluid Mechanics, Vol. 300, pp. 87–115, 1995.
Sethian, J. A. and Strain, J. D., Crystal growth and dentritic solidification, J. Computational Physics, Vol. 98, No. 2, pp. 231–253, 1992.
Adalsteinsson, D. and Sethian, J. A., A unified level set approach to etching, deposition and lithography I: Algorithms and two-dimensional simulations. J. Computational Physics, Vol. 120, No. 1, pp. 128–144, 1995.
Whitaker, R. T., Algorithms for Implicit Deformable Models, International Conference on Computer Vision (ICCV), pp. 822–827, June 1995.
Whitaker, Ross, T., A Level-Set Approach to 3D Reconstruction From Range Data, International J. of Computer Vision (IJCV), Vol. 29, No. 3, pp. 203–231, October 1998.
Whitaker, R. T. and Breen, D. E., Level-Set Models for the Deformation of Solid Objects, Proceedings of Implicit Surfaces, Eurographics/Siggraph, pp. 19–35, June 1998.
Mansouri, A. R. and Konrad, J., Motion segmentation with level sets, in Proc. IEEE Int. Conf. Image Processing (ICIP), Vol. II, pp. 126–130, Oct. 1999.
Mansouri, A. R., Sirivong, B. and Konrad, J., Multiple motion segmentation with level sets, Image and Video Communications and Processing, Bhaskaran, V. T., Russell, H., Tescher, A. G. and Stevenson, R. L., Eds., Proc. SPIE, Vol. 3974, pp. 584–595, April 2000.
Mansouri, A.-R. and Konrad, J., Minimum description length region tracking with level sets, in Proc. SPIE Image and Video Communications and Process., Vol. 3974, pp. 515–525, Jan. 2000.
Paragios, N. and Deriche, R., Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 22, No. 3, pp. 266–280, March 2000.
Paragios, N. and Deriche, R., Coupled Geodesic Active Regions for Image Segmentation: a level set approach, In the Sixth European Conference on Computer Vision (ECCV), Trinity College, Dublin, Ireland, Vol. II, pp. 224–240, 26th June–1st July, 2000.
Kornprobst P., Deriche R. and Aubert, G., Image Sequence Analysis via Partial Differential Equations, J. of Mathematical Imaging and Vision, Vol. 11, No. 1, pp. 5–26, 1999.
Faugeras, O. and Keriven, R., Variational principles, surface evolution, PDE’s level set methods and the stereo problem, IEEE Trans. on Image Proc., Vol. 7, No. 3, pp. 336–344, May 1998.
Kimmel, R., Siddiqi, K. and Kimia, B., Shape from Shading: Level Set Propagation and Viscosity Solutions, International Journal of Computer Vision, Vol. 16, No. 2, pp. 107–133, 1995.
Kimmel, R., Tracking Level Sets by Level Sets: A Method for Solving the Shape from Shading Problem, Computer Vision and Image Understanding, Vol. 62, No. 2, pp. 47–58, 1995.
Kimmel, R. and Bruckstein, A. M., Global Shape from Shading, Computer Vision and Image Understanding, Vol. 62, No. 3, pp. 360–369, 1995.
Arehart, A., Vincent, L. and Kimia, B. B., Mathematical Morphology: The Hamilton-Jacobi Connection, In Int. Conference in Computer Vision (ICCV), pp. 215–219, 1993.
Catte, F., Dibos, F. and Koepfler, G., A morphological scheme for mean curvature motion and applications to anisotropic diffusion and motion of level sets, in SIAM Jour. of Numerical Analysis, Vol. 32, No. 6, pp. 1895–1909, 1995.
Sapiro, G., Kimmel, R., Shaked, D., Kimia, B. B. and Bruckstein, A. M., Implementing continuous-scale morphology via curve evolution, Pattern Recognition, Vol. 26, No. 9, pp. 1363–1372, 1997.
Sochen, N., Kimmel, R. and Malladi, R., A Geometrical Framework for Low Level Vision, IEEE Trans. on Image Processing, Vol. 7, No. 3, pp. 310–318, 1998.
Sapiro, G., Color Snakes, Computer Vision and Image Understanding (CVIU), Vol. 68, No. 2, pp. 247–253, 1997.
Caselles, V., Kimmel, R., Sapiro, G. and Sbert, C., Three Dimensional Object Modeling via Minimal Surfaces, Proc. of the European Conf. Computer Vision (ECCV), pp. 97–106, 1996.
Caselles, V., Kimmel, R., Sapiro, G. and Sbert, C., Minimal surfaces: A geometric three dimensional segmentation approach, Numerische Mathematik, Vol. 77, No. 4, pp. 423–451, 1997.
Chopp, D. L., Computing Minimal Surfaces via Level Set Curvature Flow, J. Computational Physics, Vol. 106, No. 1, pp. 77–91, 1993.
Kimmel, R., Amir, A. and Bruckstein, A. M., Finding Shortest Paths on Surfaces Using Level Sets Propagation, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 17, No. 6, pp. 635–640, June 1995.
Malladi, R., Kimmel, R., Adalsteinsson, D., Sapiro, G., Caselles, V. and Sethian, J. A., A Geometric Approach to Segmentation and Analysis of 3-D Medical Images, Proc. of IEEE/SIAM Workshop on Mathematical Morphology and Biomedical Image Analysis (MMBIA), San Francisco, CA, pp. 244–252, June 1996.
Malladi, R. and Sethian, J. A., Image Processing via Level Set Curvature Flow, Proc. Natl. Acad. Sci. (PNAS), Vol. 92, No. 15, pp. 7046–7050, 1995.
Malladi, R. and Sethian, J. A., Image processing: flows under min/max curvature and mean curvature, Graphics Models Image Processing (GMIP), Vol. 58, No. 2, pp. 127–141, 1996.
Malladi, R., Sethian, J. A., A Unified Approach to Noise Removal, Image-Enhancement and Shape Recovery, IEEE Trans. in Image Processing, Vol. 5, No. 11, pp. 1554–1568, Nov. 1996.
Malladi, R., Sethian, J.A. and Vemuri, B. A., A fast level set based algorithm for topology independent shape modeling, Journal of Mathematical Imaging and Vision, Special Issue on Topology and Geometry in Computer Vision, Ed., Rosenfeld, A. and Kong, Y., Vol. 6, Nos. 2 and 3, pp. 269–290, April 1996.
Malladi, R. and Sethian, J. A., A real-time algorithm for medical shape recovery, Int. Conference on Computer Vision, Mumbai, India, pp. 304–310, Jan. 1998.
Malladi, R., Sethian, J. A. and Vemuri, B. C., Evolutionary fronts for topology-independent shape modeling and recovery, Proc. of the 3rd European Conf. Computer Vision, Stockholm, Sweden, By Lect. Notes Comput. Sci., Vol. 800, pp. 3–13, 1994.
Yezzi, A., Kichenassamy, S., Kumar, A., Olver, P. and Tannenbaum, A., A geometric snake model for segmentation of medical imagery, IEEE Trans. on Med. Imag., Vol. 16, No. 2, pp. 199–209, 1997.
Gomes, J. and Faugeras, O., Level sets and distance functions, In Proc. of the 6th European Conference on Computer Vision (ECCV), pp. 588–602, 2000.
Suri, J. S., Fast WM/GM Boundary Segmentation From MR Images Using the Relationship Between Parametric and Geometric Deformable Models, Chapter 8, in the book edited by Suri, Setarehdan and Singh, titled Advanced Algorithmic Approaches to Medical Image Segmentation: State-of-the-Art Applications in Cardiology, Neurology, Mammography and Pathology, In Press, First Eds., to be published in 2001.
Zeng, X., Staib, L. H., Schultz, R. T. and Duncan, J. S., Segmentation and measurement of the cortex from 3-D MR images using coupled-surfaces propagation, IEEE Trans. on Med. Imag., Vol. 18, No. 10, pp. 927–37, Sept. 1999.
Suri, J. S., Leaking Prevention in Fast Level Sets Using Fuzzy Models: An Application in MR Brain, Inter. Conference in Information Technology in Biomedicine (ITAB-ITIS), pp. 220–226, Nov. 2000.
Suri, J. S., White Matter/Gray Matter Boundary Segmentation Using Geometric Snakes: A Fuzzy Deformable Model, Proc. International Conference on Advances in Pattern Recognition, Lecture Notes in Computer Science (LNCS) No. 2013, Singh, S., Murshed, N. and Kropatsch, W. (Eds.), Springer-Verlag, Rio, De Janerio, Brazil (11–14 March), pp. 331–338, 2001.
Suri, J. S., Singh, S. and Reden, L., Computer Vision and Pattern Recognition Techniques for 2-D and 3-D MR Cerebral Cortical Segmentation: A State-of-the-Art Review, To Appear in Journal of Pattern Analysis and Applications, Vol. 4, No. 3, Sept. 2001.
Hermosillo, G., Faugeras, O. and Gomes, J., Unfolding the Cerebral Cortex Using Level Set Methods, Proceedings of the Second International Conference on Scale-Space Theories in Computer (SSTC), Lecture Notes in Computer Sci., Vol. 1682, pg. 58, 1999.
Sarti, A., Ortiz, C., Lockett, S. and Malladi, R., A Unified Geometric Model for 3-D Confocal Image Analysis in Cytology, Int. Symposium on Computer Graphics, Image Processing and Vision, (SIBGRAPI), Rio de Janeiro, Brazil, pp. 69–76, Oct. 20–23, 1998.
Niessen, W. J., ter Haar Romeny, B. M. and Viergever, M. A., Geodesic deformable models for medical image analysis, IEEE Trans. Med. Imag., Vol. 17, No. 4, pp. 634–641, Aug. 1998.
Sethian, J. A., A review of recent numerical algorithms for hypersurfaces moving with curvature dependent flows, J. Differential Geometry, Vol. 31, pp. 131–161, 1989.
Sethian, J. A., Theory, algorithms and applications of level set methods for propagating interfaces, Acta Numerica, Vol. 5, pp. 309–395, 1996.
Kimmel, R., Kiryati N. and Bruckstein, A. M., Analyzing and Synthesizing Images by Evolving Curves with the Osher-Sethian Method, International Journal of Computer Vision, Vol. 24, No. 1, pp. 37–55, 1997.
Suri, J. S., Computer Vision, Pattern Recognition, and Image Processing in Left Ventricle Segmentation: Last 50 Years, Journal of Pattern Analysis and Applications, Vol. 3, No. 3, pp. 209–242, 2000.
Terzopoulous, D. and Fleischer, K., Deformable Models, The Visual Computer, Vol. 4, No. 6, pp. 306–331, Dec. 1988.
Kass, W. and Terzopolulous, D., Snakes: Active Contour Models, Int. Jour. of Computer Vision, Vol. 1, No. 4, pp. 321–331, 1988.
Osher, S. and Sethian, J., Fronts propagating with curvature-dependent speed: algorithms based on Hamiltons-Jacobi formulations, J. Comput. Physics, Vol. 79, No. 1, pp. 12–49, 1988.
Sethian, J. A., An Analysis of Flame Propagation, Ph.D. Thesis, Department of Mathematics, University of California, Berkeley, CA, 1982.
Suri, J. S. et al., Modeling Segmentation Issues via Partial Differential Equations, Level Sets, and Geometric Deformable Models: A Revisit, To be submitted to International Journal, 2001.
Grayson, M., The heat equation shrinks embedded plane curves to round points, J. of Differential Geometry, Vol. 26, pp. 285–314, 1987.
Sethian, J. A., Level Set Methods and Fast Marching Methods: Evolving interfaces in computational geometry, fluid mechanics, Computer Vision and Material Science, Cambridge University Press, Cambridge, UK, 2nd Edition, ISBN: 0-521-64204-3, 1999.
Cao, S. and Greenhalgh, S., Finite-difference solution of the Eikonal equation using an efficient, First-arrival, wavefront tracking scheme, Geophysics, Vol. 59, No. 4, pp. 632–643, April 1994.
Chen, S., Merriman, B., Osher, S. and Smereka, P., A Simple Level Set Method for Solving Stefan Problems, Journal of Comput. Physics, Vol. 135, No. 1, pp. 8–29, 1997.
Kichenassamy, S., Kumar, A., Olver, P., Tannenbaum, A. and Yezzi, A., Conformal curvatures flows: from phase transitions to active vision, Arch. Rational Mech. Anal., Vol. 134, No. 3, pp. 275–301, 1996.
Caselles, V., Catte, F., Coll, T. and Dibos, F., A geometric model for active contours, Numerische Mathematik, Vol. 66, No. 1, pp. 1–31, 1993.
Rouy, E. and Tourin, A., A viscosity solutions approach to shape-fromshading, SIAM J. of Numerical Analysis, Vol. 23, No. 3, pp. 867–884, 1992.
Malladi, R., Sethian, J. A. and Vemuri, B. C., Shape modeling with Front Propagation, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 17, No. 2, pp. 158–175, Feb. 1995.
Malladi, R. and Sethian, J. A., An O(N log N) algorithm for shape modeling, Applied Mathematics, Proc. Natl. Acad. Sci. (PNAS), Vol. 93, No. 18, pp. 9389–9392, Sept. 1996.
Siddiqi, K., Lauriere, Y. B., Tannenbaum, A. and Zucker, S. W., Area and Length Minimizing Flows for Shape Segmentation, IEEE Trans. on Img. Proc., Vol. 7, No. 3, pp. 433–443, 1998.
Siddiqi, K., Tannenbaum, A. and Zucker, S. W., Hyperbolic Smoothing of Shapes, Sixth International Conference on Computer Vision (ICCV), Mumbai, India, Vol. 1, pp. 215–221, 1998.
Lorigo, L. M., Faugeras, O., Grimson, W. E. L., Keriven, R., Kikinis and R., Westin, Carl-Fredrik, Co-Dimension 2 Geodesic Active Contours for MRA Segmentation, In Proceedings of 16th International Conference of Information Processing in Medical Imaging, Visegrad, Hungary, Lecture Notes in Computer Science, Vol. 1613, pp. 126–139, June/July 1999.
Lorigo, L. M., Grimson, W. Eric L., Faugeras, O., Keriven, R., Kikinis, R., Nabavi, A. and Westin, Carl-Fredrick, Two Geodesic Active Contours for the Segmentation of Tubular Structures, In Proc. of the Computer Vision and Pattern Recognition (CVPR), pp. 444–451, June 2000.
Suri, J. S. and Bernstien, R., 2-D and 3-D Display of Aneurysms from Magnetic Resonance Angiographic Data, 6th International Conference in Computer Assisted Radiology, pp. 666–672, 1992.
Kimia, B. B., Tannenbaum, A. R. and Zucker, S. W., Shapes, shocks and deformations, I: The components of shape and the reaction-diffusion space, Int. Journal of Computer Vision (IJCV), Vol. 15, No. 3, pp. 189–224, 1995.
Siddiqi, K., Tresness, K. J. and Kimia, B. B., Parts of visual form: Ecological and psychophysical aspects, Perception, Vol. 25, No. 4, pp. 399–424, 1996.
Stoll, P., Tek, H. and Kimia, B. B., Shocks from images: Propagation of orientation elements, In Proceedings of Computer Vision and Pattern Recognition, Puerto Rico, IEEE Computer Society Press, pp. 839–845, June 15–16, 1997.
Caselles, V., Kimmel, R. and Shapiro, G., Geodesic Active Contours, Int. J. of Computer Vision (IJCV), Vol. 22, No. 1, pp. 61–79, 1997.
Yezzi, A., Tsai, A. and Willsky, A., A statistical approach to snakes for bimodal and trimodal imagery, In Proc. of Int’l Conf. Comp. Vision (ICCV), pp. 898–903, 1999.
Guo, Y. and Vemuri, B., Hybrid geometric active models for shape recovery in medical images, In Proc. of Int’l Conf. Inf. Proc. in Med. Imaging (IPMI), Springer-Verlag, pp. 112–125, 1999.
Xu, C., On the relationship between the parametric and geometric active contours, Internal Technical Report, Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, 1999.
Aubert, G. and Blanch-Féraud, L., Some Remarks on the Equivalence Between 2D and 3D Classical Snakes and Geodesic Active Contours, Int. Journal of Computer Vision, Vol. 34, No. 1, pp. 19–28, 1999.
Suri, J. S., Haralick, R. M. and Sheehan, F. H., Greedy Algorithm for Error Correction in Automatically Produced Boundaries from Low Contrast Ventriculograms, Int. Journal of Pattern Applications and Analysis, Vol. 1, No. 1, pp. 39–60, Jan. 2000.
Bezdek, J. C. and Hall, L. O., Review of MR image segmentation techniques using pattern recognition, Medical Physics, Vol. 20, No. 4, pp. 1033–1048, March 1993.
Berger, M. and Colella, P., Local adaptive mesh refinement for shock hydrodynamics, Mathematics of Computation, Vol. 45, No. 142, pp. 301–318, Oct. 1985.
Berger, M. J., Local Adaptive Mesh Refinement, J. Computational Physics, Vol. 82, No. 1, pp. 64–84, 1989.
Sethian, J. A., Curvature Flow and Entropy Conditions Applied to Grid Generation, J. Computational Physics, Vol. 115, No. 2, pp. 440–454, 1994.
Tababai, A. J. and Mitchell, O. R., Edge location to subpixel values in digital imagery, IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), Vol. 6, No. 2, pp. 188–201, March 1984.
Huertas, A. and Medioni, G., Detection of intensity changes with subpixel accuracy using Laplacian-Gaussian masks, IEEE Trans. on Pattern Analysis and Machine Intelligence (PAMI), Vol. 8, No. 5, pp. 651–664, Sept. 1986.
Gao, J., Kosaka, A. and Kak, A. C., A deformable model for human organ extraction, Proceedings IEEE Int. Conference on Image Processing (ICIP), Chicago, Vol. 3, pp. 323–327, Oct. 1998.
Zeng, X., Staib, L. H., Schultz, R. T. and Duncan, J. S., Segmentation and measurement of the cortex from 3-D MR images, Medical Image Computing and Computer-Assisted Intervention, pp. 519–530, 1998.
Wells III, W. M., Grimson, W. E. L., Kikinis, R. and Jolesz, F. A., Adaptive Segmentation of MRI Data, IEEE Trans. on Med. Imag., Vol. 15, No. 4, pp. 429–442, Aug. 1992.
Lorenson, W. E. and Cline, H., Marching Cubes: A high resolution 3-D surface construction algorithm, ACM Computer Graphics, Proceedings of Siggraph, Vol. 21, No. 4, pp. 163–169, July 1987.
Baillard, C., Hellier, P. and Barillot, C., Segmentation of 3-D Brain Structures Using Level Sets, Research Report 1291, IRISA, Rennes Cedex, France, 16 pages, Jan. 2000.
Baillard, C., Barillot, C. and Bouthemy, P., Robust Adaptive Segmentation of 3-D Medical Images with Level Sets, Research Report 1369, RISA, Rennes Cedex, France, 26 pages, Nov. 2000.
Baillard, C., Hellier, P. and Barillot, C., Cooperation between level set techniques and dense 3d registration for the segmentation of brain structures, In Int. Conference on Pattern Recognition, Vol. 1, pp. 991–994, Sept. 2000.
Osher, S. and Shu, C. W., Higher-order essentially non-oscillatory schemes for Hamilton-Jacobi Equations, SIAM J. Numer. Anal., Vol. 28, No. 4, pp. 907–922, 1991.
Courant, R., Friedrichs, K. O. and Lewy, H., On the partial difference equations of mathematical physics, IBM Journal, Vol. 11, pp. 215–235, 1967.
Goldenberg, R., Kimmel, R., Rivlin, E. and Rudzsky, M., Fast Geodesic Contours, In Proc, of Scale-Space Theories in Computer Vision (SSTCV), pp. 34–45, 1999.
Perona, P. and Malik, J., Scale space and edge detection using anisotropic diffusion, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 12, No. 7, pp. 629–639, Apr. 1993.
Adalsteinsson, D. and Sethian, J. A., A fast level set method for propagating interfaces, J. Computational Physics, Vol. 118, No. 2, pp. 269–277, May 1995.
Adalsteinsson, D. and Sethian, J. A., The fast construction of extension velocities in level set methods, J. Computational Physics, Vol. 148, No. 1, pp. 2–22, 1999.
Adalsteinsson, D., Kimmel, R., Malladi, R. and Sethian, J. A., Fast Marching Methods for Computing the Solutions to Static Hamilton-Jacobi Equations, CPAM Report 667, Univ. of California, Berkeley, CA, also submitted for publication, SIAM J. Numerical Analysis, Feb. 1996.
Sethian, J. A., A fast marching level set method for monotonically advancing fronts, Proceedings Natl. Acad. Sci., Applied Mathematics, Vol. 93, No. 4, pp. 1591–1595, Feb. 1996.
Sethian, J. A., Three-dimensional seismic imaging of complex velocity structures, US Patent #: 6,018,499, Jan. 25, 2000.
Sedgewick, R., Algorithms in C, Fundamentals, data structures, sorting, searching, Addison-Wesley, ISBN: 0201314525, Vol. 1, 1998.
Milne, R. B., An Adaptive Level Set Method, Ph.D. Thesis, Report Number LBNL-39216, Department of Mathematics, Lawrence Berkeley National Laboratory, Berkeley, CA, Dec. 1995.
Leventon, M. E., Grimson, W. Eric L. and Faugeras, O., Statistical Shape Influence in Geodesic Active Contours, Proceedings of the Computer Vision and Pattern Recognition (CVPR), Vol. 1, pp. 316–323, June 2000.
Cootes, T. F., Taylor, C. J., Cooper, D. H. and Graham, J., Active Shape Models: Their Training and Applications, Computer Vision and Image Understanding, Vol. 61, No. 1, pp. 38–59, Jan. 1995.
Suri, J. S., Haralick, R. M. and Sheehan, F. H., Automatic Quadratic Calibration for Correction of Pixel Classifier Boundaries to an Accuracy of 2.5 mm: An Application in X-ray Heart Imaging, International Conference in Pattern Recognition, (ICPR) Brisbane, Australia, pp. 30–33, Aug 17–20, 1998.
Lee, C. K., Automated Boundary Tracing Using Temporal Information, Ph.D. Thesis, Department of Electrical Engineering, University of Washington, Seattle, WA, 1994.
Zhao, H. K., Chan, T., Merriman, B. and Osher, S., A variational level set approach to multiphase motion, J. Computational Physics, Vol. 127, No. 1, pp. 179–195, 1996.
Evans, L. C. and Spruck, J., Motion of level sets by mean curvature: Part I, J. of Differential Geometry, Vol. 33, No. 3, pp. 635–681, 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Suri, J.S., Singh, S., Laxminarayan, S. (2002). Geometric Regularizers for Level Sets. In: Suri, J.S., Laxminarayan, S. (eds) PDE and Level Sets: Algorithmic Approaches to Static and Motion Imagery. Topics in Biomedical Engineering. Springer, Boston, MA. https://doi.org/10.1007/0-306-47930-3_3
Download citation
DOI: https://doi.org/10.1007/0-306-47930-3_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-47353-1
Online ISBN: 978-0-306-47930-4
eBook Packages: Springer Book Archive