메뉴 건너뛰기




Volumn 44, Issue 1, 2012, Pages 65-79

A Gauss-Newton method for the integration of spatial normal fields in shape Space

Author keywords

Gauss Newton method; Integration; Minimal surface; Normal field; Normal map; Shape Hessian; Shape space; Sobolev flow

Indexed keywords

GAUSS-NEWTON METHODS; MINIMAL SURFACES; NORMAL FIELD; SHAPE HESSIAN; SHAPE SPACE; SOBOLEV;

EID: 84861744746     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-011-0311-1     Document Type: Article
Times cited : (11)

References (38)
  • 1
    • 77957851112 scopus 로고    scopus 로고
    • Principles of shape from specular reflection
    • 10.1016/j.measurement.2010.07.013
    • J. Balzer S. Werling 2010 Principles of shape from specular reflection Measurement 43 1305 1317 10.1016/j.measurement.2010.07.013
    • (2010) Measurement , vol.43 , pp. 1305-1317
    • Balzer, J.1    Werling, S.2
  • 2
    • 0028547101 scopus 로고
    • Gradient and curvature from photometric stereo including local confidence estimation
    • 10.1364/JOSAA.11.003050
    • R. Woodham 1994 Gradient and curvature from photometric stereo including local confidence estimation J. Opt. Soc. Am. A 11 3050 3068 10.1364/JOSAA.11. 003050
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 3050-3068
    • Woodham, R.1
  • 6
    • 61849149793 scopus 로고    scopus 로고
    • Shape reconstruction from gradient data
    • 10.1364/AO.47.002091
    • S. Ettl J. Kaminski M. Knauer G. Häusler 2008 Shape reconstruction from gradient data Appl. Opt. 47 12 2091 2097 10.1364/AO.47.002091
    • (2008) Appl. Opt. , vol.47 , Issue.12 , pp. 2091-2097
    • Ettl, S.1    Kaminski, J.2    Knauer, M.3    Häusler, G.4
  • 7
    • 70350605618 scopus 로고    scopus 로고
    • Integrating the normal field of a surface in the presence of discontinuities
    • Springer Berlin
    • Durou, J.D., Aujol, J.F., Courteille, F.: Integrating the normal field of a surface in the presence of discontinuities. In: Lecture Notes in Computer Science, vol. 5681, pp. 261-273. Springer, Berlin (2009)
    • (2009) Lecture Notes in Computer Science , vol.5681 , pp. 261-273
    • Durou, J.D.1    Aujol, J.F.2    Courteille, F.3
  • 9
    • 0742311252 scopus 로고    scopus 로고
    • Image segmentation using active contours: Calculus of variations or shape gradients?
    • 2030859 1053.94003 10.1137/S0036139902408928
    • G. Aubert M. Barlaud O. Faugeras S. Besson 2003 Image segmentation using active contours: Calculus of variations or shape gradients? SIAM J. Appl. Math. 63 6 2128 2154 2030859 1053.94003 10.1137/S0036139902408928
    • (2003) SIAM J. Appl. Math. , vol.63 , Issue.6 , pp. 2128-2154
    • Aubert, G.1    Barlaud, M.2    Faugeras, O.3    Besson, S.4
  • 11
    • 1042274728 scopus 로고    scopus 로고
    • Geometric surface processing via normal maps
    • 10.1145/944020.944024
    • T. Tasdizen R. Whitaker P. Burchard S. Osher 2003 Geometric surface processing via normal maps ACM Trans. Graph. 22 4 1012 1033 10.1145/944020. 944024
    • (2003) ACM Trans. Graph. , vol.22 , Issue.4 , pp. 1012-1033
    • Tasdizen, T.1    Whitaker, R.2    Burchard, P.3    Osher, S.4
  • 13
    • 34948893937 scopus 로고    scopus 로고
    • Multiview normal field integration using level set methods
    • 2313593
    • J. Chang K. Lee S. Lee 2007 Multiview normal field integration using level set methods Proc. CVPR IEEE 1 1 8 2313593
    • (2007) Proc. CVPR IEEE , vol.1 , pp. 1-8
    • Chang, J.1    Lee, K.2    Lee, S.3
  • 15
    • 79953006149 scopus 로고    scopus 로고
    • Generalized Newton-type methods for energy formulations in image processing
    • 2519921 1179.35014 10.1137/080722436
    • L. Bar G. Sapiro 2009 Generalized Newton-type methods for energy formulations in image processing SIAM J. Imaging Sci. 2 2 508 531 2519921 1179.35014 10.1137/080722436
    • (2009) SIAM J. Imaging Sci. , vol.2 , Issue.2 , pp. 508-531
    • Bar, L.1    Sapiro, G.2
  • 16
    • 2542438832 scopus 로고    scopus 로고
    • A second order shape optimization approach for image segmentation
    • 2049659 1073.68095 10.1137/S0036139902403901
    • M. Hintermüller W. Ring 2003 A second order shape optimization approach for image segmentation SIAM J. Appl. Math. 64 2 442 467 2049659 1073.68095 10.1137/S0036139902403901
    • (2003) SIAM J. Appl. Math. , vol.64 , Issue.2 , pp. 442-467
    • Hintermüller, M.1    Ring, W.2
  • 17
    • 79451475476 scopus 로고    scopus 로고
    • Second-order domain derivative of normal-dependent boundary integrals
    • 2674059 10.1007/s00028-010-0061-3
    • J. Balzer 2010 Second-order domain derivative of normal-dependent boundary integrals J. Evol. Equ. 10 551 570 2674059 10.1007/s00028-010-0061-3
    • (2010) J. Evol. Equ. , vol.10 , pp. 551-570
    • Balzer, J.1
  • 19
    • 79953196543 scopus 로고    scopus 로고
    • Image sharpening via Sobolev gradient flows
    • 2763705 1202.94019 10.1137/090771260
    • J. Calder A. Mansouri A. Yezzi 2010 Image sharpening via Sobolev gradient flows SIAM J. Imaging Sci. 3 4 981 1014 2763705 1202.94019 10.1137/090771260
    • (2010) SIAM J. Imaging Sci. , vol.3 , Issue.4 , pp. 981-1014
    • Calder, J.1    Mansouri, A.2    Yezzi, A.3
  • 20
    • 33749940931 scopus 로고    scopus 로고
    • Height and gradient from shading
    • 10.1007/BF00056771
    • B. Horn 1999 Height and gradient from shading Int. J. Comput. Vis. 5 1 37 75 10.1007/BF00056771
    • (1999) Int. J. Comput. Vis. , vol.5 , Issue.1 , pp. 37-75
    • Horn, B.1
  • 21
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • 1246481 0799.53008 10.1080/10586458.1993.10504266
    • U. Pinkall K. Polthier 1993 Computing discrete minimal surfaces and their conjugates Exp. Math. 2 1 15 36 1246481 0799.53008 10.1080/10586458.1993. 10504266
    • (1993) Exp. Math. , vol.2 , Issue.1 , pp. 15-36
    • Pinkall, U.1    Polthier, K.2
  • 22
    • 12844265926 scopus 로고    scopus 로고
    • Mesh editing with poisson-based gradient field manipulation
    • DOI 10.1145/1015706.1015774, ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004
    • Y. Yu K. Zhou D. Xu X. Shi H. Bao B. Guo H. Shum 2004 Mesh editing with Poisson-based gradient field manipulation ACM Trans. Graph. 23 3 644 651 10.1145/1015706.1015774 (Pubitemid 40163762)
    • (2004) ACM Transactions on Graphics , vol.23 , Issue.3 , pp. 644-651
    • Yu, Y.1    Zhou, K.2    Xu, D.3    Shi, X.4    Bao, H.5    Guo, B.6    Shum, H.-Y.7
  • 23
    • 65149093525 scopus 로고    scopus 로고
    • Gradient domain mesh deformation-a survey
    • 10.1007/s11390-009-9209-4
    • W.W. Xu K. Zhou 2009 Gradient domain mesh deformation-a survey J. Comput. Sci. Technol. 24 1 6 18 10.1007/s11390-009-9209-4
    • (2009) J. Comput. Sci. Technol. , vol.24 , Issue.1 , pp. 6-18
    • Xu, W.W.1    Zhou, K.2
  • 30
    • 0842267881 scopus 로고    scopus 로고
    • A framework for the construction of level set methods for shape optimization and reconstruction
    • 1998617 1081.35134 10.4171/IFB/81
    • M. Burger 2003 A framework for the construction of level set methods for shape optimization and reconstruction Interfaces Free Bound. 5 301 329 1998617 1081.35134 10.4171/IFB/81
    • (2003) Interfaces Free Bound. , vol.5 , pp. 301-329
    • Burger, M.1
  • 31
    • 0036341189 scopus 로고    scopus 로고
    • Vector calculus and the topology of domains in 3-space
    • 1901496 1038.53017 10.2307/2695643
    • J. Cantarella D. DeTurck H. Gluck 2002 Vector calculus and the topology of domains in 3-space Am. Math. Mon. 109 5 409 442 1901496 1038.53017 10.2307/2695643
    • (2002) Am. Math. Mon. , vol.109 , Issue.5 , pp. 409-442
    • Cantarella, J.1    Deturck, D.2    Gluck, H.3
  • 33
    • 56349122415 scopus 로고    scopus 로고
    • Dynamic supernodes in sparse Cholesky update/downdate and triangular solves
    • 2738179 10.1145/1462173.1462176
    • T. Davis W. Hager 2009 Dynamic supernodes in sparse Cholesky update/downdate and triangular solves ACM Trans. Math. Softw. 35 4 1 27 2738179 10.1145/1462173.1462176
    • (2009) ACM Trans. Math. Softw. , vol.35 , Issue.4 , pp. 1-27
    • Davis, T.1    Hager, W.2
  • 34
    • 67650149648 scopus 로고    scopus 로고
    • Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities
    • 2566786 1176.74181 10.1002/nme.2579
    • C. Geuzaine J. Remacle 2009 Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities Int. J. Numer. Methods Eng. 79 11 1309 1331 2566786 1176.74181 10.1002/nme.2579
    • (2009) Int. J. Numer. Methods Eng. , vol.79 , Issue.11 , pp. 1309-1331
    • Geuzaine, C.1    Remacle, J.2
  • 35
    • 0029179430 scopus 로고
    • A signal processing approach to fair surface design
    • Taubin, G.: A signal processing approach to fair surface design. In: Proceedings of SIGGRAPH, pp. 351-358 (1995)
    • (1995) Proceedings of SIGGRAPH , pp. 351-358
    • Taubin, G.1
  • 36
    • 67649510891 scopus 로고    scopus 로고
    • Analogue of the total variation denoising model in the context of geometry processing
    • 2505063 1185.68803 10.1137/080736612
    • M. Elsey S. Esedoglu 2009 Analogue of the total variation denoising model in the context of geometry processing SIAM J. Multiscale Model. Simul. 7 4 1549 1573 2505063 1185.68803 10.1137/080736612
    • (2009) SIAM J. Multiscale Model. Simul. , vol.7 , Issue.4 , pp. 1549-1573
    • Elsey, M.1    Esedoglu, S.2
  • 38
    • 80052911153 scopus 로고    scopus 로고
    • Multiview specular stereo reconstruction of large mirror surfaces
    • Balzer, J., Höfer, S., Beyerer, J.: Multiview specular stereo reconstruction of large mirror surfaces. In: ICCV, vol. 1, pp. 2537-2544 (2011)
    • (2011) ICCV , vol.1 , pp. 2537-2544
    • Balzer, J.1    Höfer, S.2    Beyerer, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.