메뉴 건너뛰기




Volumn 35, Issue 1, 2009, Pages 86-102

Shape metrics based on elastic deformations

Author keywords

Elastic deformation; Shape metric; Shape modeling; Shape space

Indexed keywords

ELASTIC ENERGY; EUCLIDEAN TRANSFORMATIONS; PLANAR SHAPE; RESEARCH TOPICS; SHAPE METRIC; SHAPE MODELING; SHAPE SPACE; SHORTEST PATH;

EID: 67651046177     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-009-0156-z     Document Type: Article
Times cited : (58)

References (26)
  • 2
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • DOI 10.1016/j.jcp.2003.09.032
    • G. Allaire F. de Gournay F. Jouve A.-M. Toader 2004 Structural optimization using sensitivity analysis and a level-set method J. Comput. Phys. 194 1 363 393 (Pubitemid 38184245)
    • (2004) Journal of Computational Physics , vol.194 , Issue.1 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.-M.3
  • 3
    • 0003517398 scopus 로고
    • An introduction to differentiable manifolds and riemannian geometry
    • Academic Press New York
    • Boothby, W.M.: An Introduction to Differentiable Manifolds and Riemannian Geometry. Pure and Applied Mathematics, vol. 63. Academic Press, New York (1975)
    • (1975) Pure and Applied Mathematics , vol.63
    • Boothby, W.M.1
  • 4
    • 24944514582 scopus 로고    scopus 로고
    • Approximations of shape metrics and application to shape warping and empirical shape statistics
    • DOI 10.1007/s10208-003-0094-x
    • G. Charpiat O. Faugeras R. Keriven 2005 Approximations of shape metrics and application to shape warping and empirical shape statistics Found. Comput. Math. 5 1 1 58 (Pubitemid 41310096)
    • (2005) Foundations of Computational Mathematics , vol.5 , Issue.1 , pp. 1-58
    • Charpiat, G.1    Faugeras, O.2    Keriven, R.3
  • 7
    • 4344588013 scopus 로고    scopus 로고
    • Another approach to linearized elasticity and Korn's inequality
    • DOI 10.1016/j.crma.2004.06.021, PII S1631073X0400322X
    • P.G. Ciarlet P. Ciarlet Jr. 2004 Another approach to linearized elasticity and Korn's inequality C. R. Acad. Sci. I 339 307 312 (Pubitemid 39145813)
    • (2004) Comptes Rendus Mathematique , vol.339 , Issue.4 , pp. 307-312
    • Ciarlet, P.G.1    Ciarlet Jr., P.2
  • 8
    • 37549033942 scopus 로고    scopus 로고
    • Generalized rigid and generalized affine image registration and interpolation by geometric multigrid
    • DOI 10.1007/s10851-007-0026-5
    • S.L. Keeling 2007 Generalized rigid and generalized affine image registration and interpolation by geometric multigrid J. Math. Imaging Vis. 29 2-3 163 183 (Pubitemid 50000688)
    • (2007) Journal of Mathematical Imaging and Vision , vol.29 , Issue.2-3 , pp. 163-183
    • Keeling, S.L.1
  • 9
    • 17444422827 scopus 로고    scopus 로고
    • Medical image registration and interpolation by optical flow with maximal rigidity
    • DOI 10.1007/s10851-005-4967-2
    • S.L. Keeling W. Ring 2005 Medical image registration and interpolation by optical flow with maximal rigidity J. Math. Imaging Vis. 23 1 47 65 (Pubitemid 40539373)
    • (2005) Journal of Mathematical Imaging and Vision , vol.23 , Issue.1 , pp. 47-65
    • Keeling, S.L.1    Ring, W.2
  • 10
    • 0002432238 scopus 로고
    • Shape manifolds, procrustean metrics, and complex projective spaces
    • D.G. Kendall 1984 Shape manifolds, procrustean metrics, and complex projective spaces Bull. Lond. Math. Soc. 16 2 81 121
    • (1984) Bull. Lond. Math. Soc. , vol.16 , Issue.2 , pp. 81-121
    • Kendall, D.G.1
  • 14
    • 33646887390 scopus 로고
    • On the limited memory BFGS method for large scale optimization
    • D.C. Liu J. Nocedal 1989 On the limited memory BFGS method for large scale optimization Math. Program. B 45 3 503 528 (Pubitemid 20660315)
    • (1989) Mathematical Programming, Series B , vol.45 , Issue.3 , pp. 503-528
    • Liu Dong, C.1    Nocedal Jorge2
  • 15
    • 29244431608 scopus 로고    scopus 로고
    • Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
    • P.W. Michor D.B. Mumford 2005 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms Doc. Math. 10 217 245 (Pubitemid 41825919)
    • (2005) Documenta Mathematica , vol.10 , Issue.1 , pp. 217-245
    • Michor, P.W.1    Mumford, D.2
  • 17
    • 0034980880 scopus 로고    scopus 로고
    • Group actions, homeomorphisms, and matching: A general framework
    • DOI 10.1023/A:1011161132514
    • M.I. Miller L. Younes 2001 Group actions, homeomorphisms, and matching: A general framework Int. J. Comput. Vis. 41 1-2 61 84 (Pubitemid 32512206)
    • (2001) International Journal of Computer Vision , vol.41 , Issue.1-2 , pp. 61-84
    • Miller, M.I.1    Younes, L.2
  • 21
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • H.A. van der Vorst 1992 Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Comput. 13 2 631 644
    • (1992) SIAM J. Sci. Comput. , vol.13 , Issue.2 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 22
    • 33845382385 scopus 로고    scopus 로고
    • Evolution of T-spline level sets with distance field constraints for geometry reconstruction and image segmentation
    • IEEE Computer Society Los Alamitos
    • Yang, H., Fuchs, M., Jüttler, B., Scherzer, O.: Evolution of T-spline level sets with distance field constraints for geometry reconstruction and image segmentation. In: IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), pp. 247-252. IEEE Computer Society, Los Alamitos (2006)
    • (2006) IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06) , pp. 247-252
    • Yang, H.1    Fuchs, M.2    Jüttler, B.3    Scherzer, O.4
  • 25
    • 0032050058 scopus 로고    scopus 로고
    • Computable elastic distances between shapes
    • L. Younes 1998 Computable elastic distances between shapes SIAM J. Appl. Math. 58 2 565 586 (Pubitemid 128496905)
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , Issue.2 , pp. 565-586
    • Younes, L.1
  • 26
    • 85090519416 scopus 로고    scopus 로고
    • Control of moving domains, shape stabilization and variational tube formulations
    • J.-P. Zolésio 2007 Control of moving domains, shape stabilization and variational tube formulations Int. Ser. Numer. Math. 155 329 382
    • (2007) Int. Ser. Numer. Math. , vol.155 , pp. 329-382
    • Zolésio, J.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.