Hot spots conjecture and its application to modeling tubular structures

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 7009 LNCS, Issue , 2011, Pages 225-232

  Chung, Moo K ^a,b,c   Seo, Seongho ^c   Adluru, Nagesh ^b   Vorperian, Houri K ^b  

^a UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX SHAPES; DATA EMBEDDING; DIFFERENTIAL GEOMETRY; EIGEN FUNCTION; GEOMETRIC PROPERTIES; HOT SPOT; HUMAN MANDIBLE; LAPLACE-BELTRAMI OPERATOR; MANIFOLD LEARNING; MESH PROCESSING; MINIMUM LINEAR ARRANGEMENT; TUBULAR STRUCTURES;

COMPUTER GRAPHICS; EIGENVALUES AND EIGENFUNCTIONS; FEATURE EXTRACTION; GEOMETRY; LEARNING SYSTEMS; TUBULAR STEEL STRUCTURES;

MEDICAL IMAGING;

EID: 80053968849     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-24319-6_28     Document Type: Conference Paper

References (11)

1. Banuelos, R., Burdzy, K.: On the Hot Spots Conjecture of J Rauch. Journal of Functional Analysis 164, 1-33 (1999)
2. Belkin, M., Niyogi, P.: Laplacian eigenmaps and spectral techniques for embedding and clustering. In: Advances in Neural Information Processing Systems, vol. 1, pp. 585-592 (2002)
3. Chung, M.K., Taylor, J.: Diffusion smoothing on brain surface via finite element method. In: Proceedings of IEEE International Symposium on Biomedical Imaging (ISBI), vol. 1, pp. 432-435 (2004)
4. Courant, R., Hilbert, D.: Methods of Mathematical Physics, english edn. Interscience, New York (1953)
5. Fiedler, M.: Algebraic connectivity of graphs. Czechoslovak Mathematical Journal 23, 298-305 (1973)
6. Gladwell, G.M.L., Zhu, H.: Courant's nodal line theorem and its discrete counterparts. The Quarterly Journal of Mechanics and Applied Mathematics 55, 1-15 (2002)
7. Hall, K.M.: An r-dimensional quadratic placement algorithm. Management Science 17, 219-229 (1970)
8. Lai, Z., Hu, J., Liu, C., Taimouri, V., Pai, D., Zhu, J., Xu, J., Hua, J.: Intrapatient supine-prone colon registration in CT colonography using shape spectrum. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010. LNCS, vol. 6361, pp. 332-339. Springer, Heidelberg (2010)
9. Seo, S., Chung, M.K., Vorperian, H.K.: Heat kernel smoothing using laplacebeltrami eigenfunctions. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010. LNCS, vol. 6363, pp. 505-512. Springer, Heidelberg (2010)
10. Shi, Y., Lai, R., Krishna, S., Sicotte, N., Dinov, I., Toga, A.W.: Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons. In: Proceedings of Mathematical Methods in Biomedical Image Analysis (MMBIA), pp. 1-7 (2008)
11. Tlusty, T.: A relation between the multiplicity of the second eigenvalue of a graph laplacian, courants nodal line theorem and the substantial dimension of tight polyhedral surfaces. Electrnoic Journal of Linear Algebra 16, 315-324 (2007)