메뉴 건너뛰기




Volumn 30, Issue 2, 2008, Pages 167-180

Cramér-rao bounds for estimating the position and width of 3D tubular structures and analysis of thin structures with application to vascular images

Author keywords

3D position and widt estimate; 3D tubular structures; Cram r Rao Bound (CRB); Performance characterization; Thin structures; Vessel segmentation

Indexed keywords

COMPUTATIONAL COMPLEXITY; CRAMER-RAO BOUNDS; MATHEMATICAL MODELS; THREE DIMENSIONAL;

EID: 37849043685     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-007-0041-6     Document Type: Article
Times cited : (5)

References (28)
  • 1
    • 0032249194 scopus 로고    scopus 로고
    • A method for approximating the density of maximum-likelihood and maximum a posteriori estimates under a Gaussian noise model
    • 4
    • Abbey, C.K., Clarkson, E., Barrett, H.H., Müller, S.P., Rybicki, F.J.: A method for approximating the density of maximum-likelihood and maximum a posteriori estimates under a Gaussian noise model. Med. Image Anal. 2(4), 395-403 (1998)
    • (1998) Med. Image Anal. , vol.2 , pp. 395-403
    • Abbey, C.K.1    Clarkson, E.2    Barrett, H.H.3    Müller, S.P.4    Rybicki, F.J.5
  • 4
    • 0029405754 scopus 로고
    • Cramer-Rao lower bounds for estimation of a circular arc center and its radius
    • 6
    • Chan, Y.T., Thomas, S.M.: Cramer-Rao lower bounds for estimation of a circular arc center and its radius. Graph. Mod. Image Process. 57(6), 527-532 (1995)
    • (1995) Graph. Mod. Image Process. , vol.57 , pp. 527-532
    • Chan, Y.T.1    Thomas, S.M.2
  • 5
    • 0032781830 scopus 로고    scopus 로고
    • Measurement of thickness and density of thin structures by computed tomography: A simulation study
    • 7
    • Dougherty, G., Newman, D.: Measurement of thickness and density of thin structures by computed tomography: a simulation study. Med. Phys. 26(7), 1341-1348 (1999)
    • (1999) Med. Phys. , vol.26 , pp. 1341-1348
    • Dougherty, G.1    Newman, D.2
  • 6
    • 0031237731 scopus 로고    scopus 로고
    • Model-Based Detection and localization of circular landmarks in aerial images
    • 3
    • Drewniok, C., Rohr, K.: Model-Based Detection and localization of circular landmarks in aerial images. Int. J. Comput. Vis. 24(3), 187-217 (1997)
    • (1997) Int. J. Comput. Vis. , vol.24 , pp. 187-217
    • Drewniok, C.1    Rohr, K.2
  • 8
    • 0028839871 scopus 로고
    • The Rician distribution of noisy MRI data
    • 6
    • Gudbjartsson, H., Patz, S.: The Rician distribution of noisy MRI data. Magn. Reson. Med. 34(6), 910-914 (1995)
    • (1995) Magn. Reson. Med. , vol.34 , pp. 910-914
    • Gudbjartsson, H.1    Patz, S.2
  • 10
    • 0031784731 scopus 로고    scopus 로고
    • Limits to the accuracy of vessel diameter measurement in MR angiography
    • 6
    • Hoogeveen, R.M., Bakker, C.J.G., Viergever, M.A.: Limits to the accuracy of vessel diameter measurement in MR angiography. J. Magn. Reson. Imaging 8(6), 1228-1239 (1998)
    • (1998) J. Magn. Reson. Imaging , vol.8 , pp. 1228-1239
    • Hoogeveen, R.M.1    Bakker, C.J.G.2    Viergever, M.A.3
  • 11
    • 0033037618 scopus 로고    scopus 로고
    • MR phase-contrast flow measurement with limited spatial resolution in small vessels: Value of model-based image analysis
    • 3
    • Hoogeveen, R.M., Bakker, C.J.G., Viergever, M.A.: MR phase-contrast flow measurement with limited spatial resolution in small vessels: value of model-based image analysis. Magn. Reson. Med. 41(3), 520-528 (1999)
    • (1999) Magn. Reson. Med. , vol.41 , pp. 520-528
    • Hoogeveen, R.M.1    Bakker, C.J.G.2    Viergever, M.A.3
  • 13
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • Kalman, R.E.: A new approach to linear filtering and prediction problems. Trans. ASME J. Basic Eng. Ser. D 82, 35-45 (1960)
    • (1960) Trans. ASME J. Basic Eng. Ser. D , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 14
    • 0032028844 scopus 로고    scopus 로고
    • Cramer-Rao lower bounds for curve fitting
    • 2
    • Kanatani, K.: Cramer-Rao lower bounds for curve fitting. Graph. Mod. Image Process. 60(2), 93-99 (1998)
    • (1998) Graph. Mod. Image Process. , vol.60 , pp. 93-99
    • Kanatani, K.1
  • 15
    • 28644434715 scopus 로고    scopus 로고
    • A review of vessel extraction techniques and algorithms
    • 2
    • Kirbas, C., Quek, F.K.H.: A review of vessel extraction techniques and algorithms. ACM Comput. Surv. 36(2), 81-121 (2004)
    • (2004) ACM Comput. Surv. , vol.36 , pp. 81-121
    • Kirbas, C.1    Quek, F.K.H.2
  • 16
    • 35048824518 scopus 로고    scopus 로고
    • Bias in the localization of curved edges
    • Proc. 8th European Conference on Computer Vision (ECCV04), Part II Prague, Czech Republic Springer Berlin
    • Mendonça, P.R.S., Padfield, D., Miller, J., Turek, M.: Bias in the localization of curved edges. In: Pajdla, T., Matas, J. (eds.) Proc. 8th European Conference on Computer Vision (ECCV04), Part II, Prague, Czech Republic. Lecture Notes in Computer Science, vol. 3022, pp. 554-565. Springer, Berlin (2004)
    • (2004) Lecture Notes in Computer Science , vol.3022 , pp. 554-565
    • Mendonça, P.R.S.1    Padfield, D.2    Miller, J.3    Turek, M.4    Pajdla, T.5    Matas, J.6
  • 17
    • 0031718734 scopus 로고    scopus 로고
    • High accuracy tracking of 2D/3D curved line structures by consecutive cross-section matching
    • 1
    • Noordmans, H.J., Smeulders, A.W.M.: High accuracy tracking of 2D/3D curved line structures by consecutive cross-section matching. Pattern Recognit. Lett. 19(1), 97-111 (1998)
    • (1998) Pattern Recognit. Lett. , vol.19 , pp. 97-111
    • Noordmans, H.J.1    Smeulders, A.W.M.2
  • 19
    • 0032998150 scopus 로고    scopus 로고
    • Accuracy limits for the determination of cortical width and density: The influence of object size and CT imaging parameters
    • 3
    • Prevrhal, S., Engelke, K., Kalender, W.A.: Accuracy limits for the determination of cortical width and density: the influence of object size and CT imaging parameters. Phys. Med. Biol. 44(3), 751-764 (1999)
    • (1999) Phys. Med. Biol. , vol.44 , pp. 751-764
    • Prevrhal, S.1    Engelke, K.2    Kalender, W.A.3
  • 20
    • 0030730034 scopus 로고    scopus 로고
    • On the precision in estimating the location of edges and corners
    • 1
    • Rohr, K.: On the precision in estimating the location of edges and corners. J. Math. Imaging Vis. 7(1), 7-22 (1997)
    • (1997) J. Math. Imaging Vis. , vol.7 , pp. 7-22
    • Rohr, K.1
  • 21
    • 26444545527 scopus 로고    scopus 로고
    • Fundamental limits in 3D Landmark localization
    • Proc. 19th International Conference on Information Processing in Medical Imaging (IPMI'05) Glenwood Springs, CO/USA July 2005 Springer Berlin
    • Rohr, K.: Fundamental limits in 3D Landmark localization. In: Christensen, G.E., Sonka, M. (eds.) Proc. 19th International Conference on Information Processing in Medical Imaging (IPMI'05), Glenwood Springs, CO/USA, July 2005. Lecture Notes in Computer Science, vol. 3565, pp. 286-298. Springer, Berlin (2005)
    • (2005) Lecture Notes in Computer Science , vol.3565 , pp. 286-298
    • Rohr, K.1    Christensen, G.E.2    Sonka, M.3
  • 22
    • 33750938485 scopus 로고    scopus 로고
    • High-precision localization and quantificiation of 3d tubular structures
    • Kovací ević, J., Meijering, E. (eds.) Arlington, VA/USA, April 2006
    • Rohr, K., Wörz, S.: High-precision localization and quantificiation of 3d tubular structures. In: Kovací ević, J., Meijering, E. (eds.) Proc. IEEE Int. Symposium on Biomedical Imaging: from Nano to Macro (ISBI'06), Arlington, VA/USA, April 2006, pp. 1160-1163 (2006)
    • (2006) Proc. IEEE Int. Symposium on Biomedical Imaging: From Nano to Macro (ISBI'06) , pp. 1160-1163
    • Rohr, K.1    Wörz, S.2
  • 24
    • 20344379673 scopus 로고    scopus 로고
    • Accurate quantification of small-diameter tubular structures in isotropic CT volume data based on multiscale line filter responses
    • Proc. Seventh International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'04) Rennes/Saint-Malo, France September 2004 Springer Berlin
    • Sato, Y., Yamamoto, S., Tamura, S.: Accurate quantification of small-diameter tubular structures in isotropic CT volume data based on multiscale line filter responses. In: Barillot, C., Haynor, S.R., Hellier, P. (eds.) Proc. Seventh International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'04), Rennes/Saint-Malo, France, September 2004. Lecture Notes in Computer Science, vol. 3216, pp. 508-515. Springer, Berlin (2004)
    • (2004) Lecture Notes in Computer Science , vol.3216 , pp. 508-515
    • Sato, Y.1    Yamamoto, S.2    Tamura, S.3    Barillot, C.4    Haynor, S.R.5    Hellier, P.6
  • 25
    • 0031060806 scopus 로고    scopus 로고
    • Adaptive approach to accurate analysis of small-diameter vessels in cineangiograms
    • 1
    • Sonka, M., Reddy, G.K., Winniford, M.D., Collins, S.M.: Adaptive approach to accurate analysis of small-diameter vessels in cineangiograms. IEEE Trans. Med. Imaging 16(1), 87-95 (1997)
    • (1997) IEEE Trans. Med. Imaging , vol.16 , pp. 87-95
    • Sonka, M.1    Reddy, G.K.2    Winniford, M.D.3    Collins, S.M.4
  • 27
    • 20344388530 scopus 로고    scopus 로고
    • A new 3D parametric intensity model for accurate segmentation and quantification of human vessels
    • Proc. Seventh International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'04) Rennes/Saint-Malo, France September 2004 Springer Berlin
    • Wörz, S., Rohr, K.: A new 3D parametric intensity model for accurate segmentation and quantification of human vessels. In: Barillot, C., Haynor, S.R., Hellier, P. (eds.) Proc. Seventh International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'04), Rennes/Saint-Malo, France, September 2004. Lecture Notes in Computer Science, vol. 3216, pp. 491-499. Springer, Berlin (2004)
    • (2004) Lecture Notes in Computer Science , vol.3216 , pp. 491-499
    • Wörz, S.1    Rohr, K.2    Barillot, C.3    Haynor, S.R.4    Hellier, P.5
  • 28
    • 33750268218 scopus 로고    scopus 로고
    • Limits on estimating the width of thin tubular structures in 3d images
    • Proc. Ninth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06) Copenhagen, Denmark October 2006 Springer Berlin
    • Wörz, S., Rohr, K.: Limits on estimating the width of thin tubular structures in 3d images. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) Proc. Ninth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06), Copenhagen, Denmark, October 2006. Lecture Notes in Computer Science, vol. 4190, pp. 215-222. Springer, Berlin (2006)
    • (2006) Lecture Notes in Computer Science , vol.4190 , pp. 215-222
    • Wörz, S.1    Rohr, K.2    Larsen, R.3    Nielsen, M.4    Sporring, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.