{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T03:11:53Z","timestamp":1787368313923,"version":"build-2736575974"},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540631675","type":"print"},{"value":"9783540691969","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/3-540-63167-4_54","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T18:15:28Z","timestamp":1330280128000},"page":"236-247","source":"Crossref","is-referenced-by-count":57,"title":["From high energy physics to low level vision"],"prefix":"10.1007","author":[{"given":"Ron","family":"Kimmel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nir","family":"Sochen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ravi","family":"Malladi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2005,6,8]]},"reference":[{"key":"18_CR1","doi-asserted-by":"crossref","unstructured":"L. Alvarez, F. Guichard, P. L. Lions, and J. M. Morel. Axioms and fundamental equations of image processing. Arch. Rational Mechanics, 123, 1993.","DOI":"10.1007\/BF00375127"},{"key":"18_CR2","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1137\/0729052","volume":"29","author":"L. Alvarez","year":"1992","unstructured":"L. Alvarez, P. L. Lions, and J. M. Morel. Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal, 29:845\u2013866, 1992.","journal-title":"SIAM J. Numer. Anal"},{"key":"18_CR3","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/7132.001.0001","volume-title":"Visual Reconstruction","author":"A. Blake","year":"1987","unstructured":"A. Blake and A. Zisserman. Visual Reconstruction. MIT Press, Cambridge, Massachusetts, 1987."},{"key":"18_CR4","unstructured":"P. Blomgren and T. F. Chan. Color TV: Total variation methods for restoration of vector valued images. cam TR, UCLA, 1996."},{"key":"18_CR5","doi-asserted-by":"crossref","unstructured":"V. Caselles, R. Kimmel, G. Sapiro, and C. Sbert. Minimal surfaces: A geometric three dimensional segmentation approach. Numerische Mathematik, to appear, 1996.","DOI":"10.1007\/s002110050294"},{"key":"18_CR6","doi-asserted-by":"crossref","unstructured":"A. Chambolle. Partial differential equations and image processing. In Proceedings IEEE ICIP, Austin, Texas, November 1994.","DOI":"10.1109\/ICIP.1994.413266"},{"issue":"1","key":"18_CR7","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1006\/jcph.1993.1092","volume":"106","author":"D. L. Chopp","year":"1993","unstructured":"D. L. Chopp. Computing minimal surfaces via level set curvature flow. J. of Computational Physics, 106(1):77\u201391, May 1993.","journal-title":"J. of Computational Physics"},{"key":"18_CR8","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/0734-189X(86)90223-9","volume":"33","author":"S. Zenzo Di","year":"1986","unstructured":"S. Di Zenzo. A note on the gradient of a multi image. Computer Vision, Graphics, and Image Processing, 33:116\u2013125, 1986.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"18_CR9","first-page":"2","volume":"2421","author":"A. I. El-Fallah","year":"1994","unstructured":"A. I. El-Fallah, G. E. Ford, V. R. Algazi, and R. R. Estes. The invariance of edges and corners under mean curvature diffusions of images. In Processing III SPIE, volume 2421, pages 2\u201314, 1994.","journal-title":"Processing III SPIE"},{"key":"18_CR10","volume-title":"Geometric-Driven Diffusion in Computer Vision","author":"L. M. J. Florack","year":"1994","unstructured":"L. M. J. Florack, A. H. Salden, B. M. ter Haar Romeny, J. J. Koendrink, and M. A. Viergever. Nonlinear scale-space. In B. M. ter Haar Romeny, editor, Geometric-Driven Diffusion in Computer Vision. Kluwer Academic Publishers, The Netherlands, 1994."},{"key":"18_CR11","volume-title":"LBNL report","author":"R. Kimmel","year":"1997","unstructured":"R. Kimmel. What is a natural norm for multi channel image processing. LBNL report, Berkeley Labs. UC, CA 94720, March 1997."},{"key":"18_CR12","volume-title":"Report LBNL-39640, UC-405","author":"R. Kimmel","year":"1996","unstructured":"R. Kimmel, N. Sochen, and R. Malladi. On the geometry of texture. Report LBNL-39640, UC-405, Berkeley Labs. UC, CA 94720, November 1996."},{"key":"18_CR13","doi-asserted-by":"crossref","unstructured":"R. Kimmel, N. Sochen, and R. Malladi. Images as embedding maps and minimal surfaces: Movies, color, and volumetric medical images. In Proc. of IEEE CVPR'97, Puerto Rico, June 1997.","DOI":"10.1109\/CVPR.1997.609348"},{"key":"18_CR14","volume-title":"Differential Geometry","author":"E. Kreyszing","year":"1991","unstructured":"E. Kreyszing. Differential Geometry. Dover Publications, Inc., New York, 1991."},{"issue":"2","key":"18_CR15","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1006\/gmip.1996.0011","volume":"58","author":"R. Malladi","year":"1996","unstructured":"R. Malladi and J. A. Sethian. Image processing: Flows under min\/max curvature and mean curvature. Graphical Models and Image Processing, 58(2):127\u2013141, March 1996.","journal-title":"Graphical Models and Image Processing"},{"key":"18_CR16","unstructured":"D. Mumford and J. Shah. Boundary detection by minimizing functionals. In Proceedings of CVPR, Computer Vision and Pattern Recognition, San Francisco, 1985."},{"key":"18_CR17","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P. Perona","year":"1990","unstructured":"P. Perona and J. Malik. Scale-space and edge detection using anisotropic diffusion. IEEE-PAMI, 12:629\u2013639, 1990.","journal-title":"IEEE-PAMI"},{"key":"18_CR18","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0370-2693(81)90743-7","volume":"103B","author":"A. M. Polyakov","year":"1981","unstructured":"A. M. Polyakov. Physics Letters, 103B:207, 1981.","journal-title":"Physics Letters"},{"key":"18_CR19","volume-title":"Geometric-Driven Diffusion in Computer Vision","author":"T. Richardson","year":"1994","unstructured":"T. Richardson and S. Mitter. Approximation, computation, and distoration in the variational formulation. In B. M. ter Haar Romeny, editor, Geometric-Driven Diffusion in Computer Vision. Kluwer Academic Publishers, The Netherlands, 1994."},{"key":"18_CR20","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"L. Rudin, S. Osher, and E. Fatemi. Nonlinear total variation based noise removal algorithms. Physica D, 60:259\u2013268, 1992.","journal-title":"Physica D"},{"key":"18_CR21","unstructured":"G. Sapiro and D. L. Ringach. Anisotropic diffusion in color space. IEEE Trans. Image Proc., to appear, 1996."},{"issue":"1","key":"18_CR22","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/BF01420591","volume":"11","author":"G. Sapiro","year":"1993","unstructured":"G. Sapiro and A. Tannenbaum. Affine invariant scale-space. International Journal of Computer Vision, 11(1):25\u201344, 1993.","journal-title":"International Journal of Computer Vision"},{"key":"18_CR23","doi-asserted-by":"crossref","unstructured":"J. Shah. Curve evolution and segmentation functionals: Application to color images. In Proceedings IEEE ICIP'96, pages 461\u2013464, 1996.","DOI":"10.1109\/ICIP.1996.559533"},{"key":"18_CR24","volume-title":"Report LBNL 39243","author":"N. Sochen","year":"1996","unstructured":"N. Sochen, R. Kimmel, and R. Malladi. From high energy physics to low level vision. Report LBNL 39243, LBNL, UC Berkeley, CA 94720, August 1996. http:\/\/www.lbl.gov\/~ron\/belt-html.html."},{"key":"18_CR25","volume-title":"A Comprehensive Introduction to Differential Geometry","author":"M. Spivak","year":"1979","unstructured":"M. Spivak. A Comprehensive Introduction to Differential Geometry. Publish or Perish, Inc., Berkeley, 1979."},{"key":"18_CR26","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/S0734-189X(89)80017-9","volume":"46","author":"S. D. Yanowitz","year":"1989","unstructured":"S. D. Yanowitz and A. M. Bruckstein. A new method for image segmentation. Computer Vision, Graphics, and Image Processing, 46:82\u201395, 1989.","journal-title":"Computer Vision, Graphics, and Image Processing"}],"container-title":["Lecture Notes in Computer Science","Scale-Space Theory in Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-63167-4_54.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T16:16:57Z","timestamp":1605629817000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-63167-4_54"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540631675","9783540691969"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/3-540-63167-4_54","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997]]}}}