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Volumn 19, Issue 1, 2009, Pages 82-102

Robust designs for 3D shape analysis with spherical harmonic descriptors

Author keywords

3D image data; Dependent data; Mean square error; Minimax optimal designs; Optimal designs; Robust designs; Shape analysis; Spherical harmonic descriptors

Indexed keywords


EID: 64549145449     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (22)
  • 1
    • 0004167330 scopus 로고    scopus 로고
    • Encyclopedia of Mathematics and Its Applications. Cambridge
    • Andrews, G. E., Askey, R. and Roy, R. (1999). Special Functions. Encyclopedia of Mathematics and Its Applications. Cambridge.
    • (1999) Special Functions
    • Andrews, G.E.1    Askey, R.2    Roy, R.3
  • 2
    • 0037538638 scopus 로고    scopus 로고
    • Optimal designs for testing the functional form of a regression via nonparametric estimation techniques
    • Biedermann, S. and Dette, H. (2001). Optimal designs for testing the functional form of a regression via nonparametric estimation techniques. Statist. Probab. Lett. 52, 215-224.
    • (2001) Statist. Probab. Lett , vol.52 , pp. 215-224
    • Biedermann, S.1    Dette, H.2
  • 3
    • 33845346811 scopus 로고    scopus 로고
    • Optimal designs which are efficient for lack of fit tests
    • Bischoff, W. and Miller, F. (2006). Optimal designs which are efficient for lack of fit tests. Ann. Statist. 34, 2015-2025.
    • (2006) Ann. Statist , vol.34 , pp. 2015-2025
    • Bischoff, W.1    Miller, F.2
  • 4
    • 84909574881 scopus 로고
    • A basis for the selection of a response surface design
    • Box, G. E. P. and Draper, N. R. (1959). A basis for the selection of a response surface design. J. Amer. Statist. Assoc. 54, 622-654.
    • (1959) J. Amer. Statist. Assoc , vol.54 , pp. 622-654
    • Box, G.E.P.1    Draper, N.R.2
  • 6
    • 33644919113 scopus 로고    scopus 로고
    • Optimal designs for three-dimensional shape analysis with spherical harmonic descriptors
    • Dette, H., Melas, V. and Pepelyshev, A. (2005). Optimal designs for three-dimensional shape analysis with spherical harmonic descriptors. Ann. Statist. 33, 2758-2788.
    • (2005) Ann. Statist , vol.33 , pp. 2758-2788
    • Dette, H.1    Melas, V.2    Pepelyshev, A.3
  • 7
    • 0033894910 scopus 로고    scopus 로고
    • Quantitative evaluation of the three-dimensional fruit shape and size of Citrus based on spherical harmonic descriptors
    • Ding, W., Nesumi, H., Takano, Y. and Ukai, Y. (2000). Quantitative evaluation of the three-dimensional fruit shape and size of Citrus based on spherical harmonic descriptors. Euphytica 114, 103-116.
    • (2000) Euphytica , vol.114 , pp. 103-116
    • Ding, W.1    Nesumi, H.2    Takano, Y.3    Ukai, Y.4
  • 9
    • 84989442648 scopus 로고
    • An optimal experimental design for the Haar regression model
    • Herzberg, A. M. and Traves, W. N. (1994). An optimal experimental design for the Haar regression model. Canad. J. Statist. 22, 357-364.
    • (1994) Canad. J. Statist , vol.22 , pp. 357-364
    • Herzberg, A.M.1    Traves, W.N.2
  • 10
    • 0002334709 scopus 로고
    • Robustness and Designs
    • Edited by J. N. Srivastava, North Holland, Amsterdam
    • Huber, P. J. (1975). Robustness and Designs. In A Survey of Statistical Design and Linear Models (Edited by J. N. Srivastava), 287-303. North Holland, Amsterdam
    • (1975) A Survey of Statistical Design and Linear Models , pp. 287-303
    • Huber, P.J.1
  • 12
    • 85089921422 scopus 로고    scopus 로고
    • Rotation invariant spherical harmonic representation of 3D-shape descriptors
    • Edited by L. Kobbelt, P. Schröder and H. Happe
    • Kazhdan, M., Funkhouser, T. and Rusinkiewicz, S. (2003). Rotation invariant spherical harmonic representation of 3D-shape descriptors. Eurographics Symposium on Geometry Processing (Edited by L. Kobbelt, P. Schröder and H. Happe). http://www.cs.princeton. edu/~mkazhdan/My-Papers/ SGP03.pdf
    • (2003) Eurographics Symposium on Geometry Processing
    • Kazhdan, M.1    Funkhouser, T.2    Rusinkiewicz, S.3
  • 13
    • 0033201360 scopus 로고    scopus 로고
    • Elastic Model-Based Segmention of 3D-Neuroradiological Data Sets
    • Kelemen, A., Szekely, G. and Gerig, G. (1999). Elastic Model-Based Segmention of 3D-Neuroradiological Data Sets. IEEE-TMI 18, 828-839.
    • (1999) IEEE-TMI , vol.18 , pp. 828-839
    • Kelemen, A.1    Szekely, G.2    Gerig, G.3
  • 14
    • 0000981128 scopus 로고
    • General equivalence theory for optimum designs (Approximate theory)
    • Kiefer, J. (1974). General equivalence theory for optimum designs (Approximate theory). Ann.Statist. 2, 849-879.
    • (1974) Ann.Statist , vol.2 , pp. 849-879
    • Kiefer, J.1
  • 16
    • 0001690955 scopus 로고    scopus 로고
    • Robust designs for wavelet approximations of regression models
    • Oyet, A. J. and Wiens, D. P. (2000). Robust designs for wavelet approximations of regression models. J. Nonparametr. Stat.12, 837-859.
    • (2000) J. Nonparametr. Stat , vol.12 , pp. 837-859
    • Oyet, A.J.1    Wiens, D.P.2
  • 17
    • 0036794455 scopus 로고    scopus 로고
    • On the recovery of a function on a circular domain
    • Pawlak, M. and Liao, S. X. (2002). On the recovery of a function on a circular domain. IEEE Trans. Inform. Theory 48, 2736-2753.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 2736-2753
    • Pawlak, M.1    Liao, S.X.2
  • 19
    • 0030088682 scopus 로고    scopus 로고
    • Segmentation of 2D and 3D objects from MRI volume data using constrained elastic deformations of flexible contour and surface models
    • Székely, G., Kelemen, A., Brechbühler, Ch. and Gerig, G. (1996). Segmentation of 2D and 3D objects from MRI volume data using constrained elastic deformations of flexible contour and surface models. Medical Image Analysis 1, 19-34.
    • (1996) Medical Image Analysis , vol.1 , pp. 19-34
    • Székely, G.1    Kelemen, A.2    Brechbühler, C.3    Gerig, G.4
  • 20
    • 0003933260 scopus 로고
    • Designs for approximately linear regression: Two optimality properties of uniform designs
    • Wiens, D. P. (1991). Designs for approximately linear regression: Two optimality properties of uniform designs. Statist. Probab. Lett. 12, 217-221.
    • (1991) Statist. Probab. Lett , vol.12 , pp. 217-221
    • Wiens, D.P.1
  • 21
    • 0002357830 scopus 로고
    • Minimax designs for approximately linear regression
    • Wiens, D. P. (1992). Minimax designs for approximately linear regression. J. Statist. Plann. Inferences, 353-371.
    • (1992) J. Statist. Plann. Inferences , pp. 353-371
    • Wiens, D.P.1
  • 22
    • 0032283062 scopus 로고    scopus 로고
    • Minimax robust designs and weights for approximately specified regression models with heteroscedastic errors
    • Wiens, D. P. (1998). Minimax robust designs and weights for approximately specified regression models with heteroscedastic errors. J. Amer. Statist. Assoc. 93, 1440-1450.
    • (1998) J. Amer. Statist. Assoc , vol.93 , pp. 1440-1450
    • Wiens, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.