메뉴 건너뛰기




Volumn 217, Issue 1, 2005, Pages 49-59

Shape discrimination by total curvature, with a view to cancer diagnostics

Author keywords

Cancer diagnostics; Local stereology; Total curvature

Indexed keywords

DIAGNOSIS;

EID: 13244289886     PISSN: 00222720     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0022-2720.2005.01435.x     Document Type: Conference Paper
Times cited : (4)

References (26)
  • 1
    • 13244283700 scopus 로고    scopus 로고
    • Statistics and dynamics of cellular shape changes
    • (ed. by M. A. J. Chaplain, G. D. Singh and J. C. McLachlan). Wiley, Chichester
    • Alt, W. (1999) Statistics and dynamics of cellular shape changes. On Growth and Form. Spatio-Temporal Formation in Biology (ed. by M. A. J. Chaplain, G. D. Singh and J. C. McLachlan), pp. 287-307. Wiley, Chichester.
    • (1999) On Growth and Form. Spatio-Temporal Formation in Biology , pp. 287-307
    • Alt, W.1
  • 4
    • 0000235632 scopus 로고
    • Über krümmung und windung geschlossener raumkurven
    • Fenchel, W. (1929) Über Krümmung und Windung geschlossener Raumkurven. Math. Ann. 101, 238-252.
    • (1929) Math. Ann. , vol.101 , pp. 238-252
    • Fenchel, W.1
  • 5
    • 0038621096 scopus 로고
    • Shape-preserving interpolation by parametrically defined curves
    • Goodman, T. N. T. & Unsworth, K. (1988) Shape-preserving interpolation by parametrically defined curves. SIAM J. Numer. Anal. 25, 1453-1465.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1453-1465
    • Goodman, T.N.T.1    Unsworth, K.2
  • 6
    • 0030559403 scopus 로고    scopus 로고
    • All the way with Gauss-Bonnet and the sociology of mathematics
    • Gottlieb, D. H. (1996) All the way with Gauss-Bonnet and the sociology of mathematics. Amer. Math. Monthly, 103,457-469.
    • (1996) Amer. Math. Monthly , vol.103 , pp. 457-469
    • Gottlieb, D.H.1
  • 8
    • 85037801598 scopus 로고    scopus 로고
    • Modelling stochastic changes in curve shape, with an application to cancer diagnostics
    • Hobolth, A. & Jensen, E. B. V. (2000) Modelling stochastic changes in curve shape, with an application to cancer diagnostics. Adv. in Appl. Probab. 32, 344-362.
    • (2000) Adv. in Appl. Probab. , vol.32 , pp. 344-362
    • Hobolth, A.1    Jensen, E.B.V.2
  • 10
    • 0036762208 scopus 로고    scopus 로고
    • A deformable template model, with special reference to elliptical templates
    • Hobolth, A., Pedersen, J. & Jensen, E. B. V. (2002) A deformable template model, with special reference to elliptical templates. J. Math. Imaging Vision, 17, 131-137.
    • (2002) J. Math. Imaging Vision , vol.17 , pp. 131-137
    • Hobolth, A.1    Pedersen, J.2    Jensen, E.B.V.3
  • 12
    • 13244276639 scopus 로고
    • On Fenchel's theorem
    • Horn, R. A. (1971) On Fenchel's theorem. Amer. Math. Monthly, 78, 380-381.
    • (1971) Amer. Math. Monthly , vol.78 , pp. 380-381
    • Horn, R.A.1
  • 13
    • 0025990282 scopus 로고
    • A note on stereological estimation of the volume-weighted second moment of particle volume
    • Jensen, E. B. V. & Sørensen, F. (1991) A note on stereological estimation of the volume-weighted second moment of particle volume. J. Microsc. 164, 21-27.
    • (1991) J. Microsc. , vol.164 , pp. 21-27
    • Jensen, E.B.V.1    Sørensen, F.2
  • 14
    • 0028903826 scopus 로고
    • Quantitative histopathology in ductal carcinoma of the breast: Prognostic value of mean nuclear size and mitotic counts
    • Ladekarl, M. (1995) Quantitative histopathology in ductal carcinoma of the breast: prognostic value of mean nuclear size and mitotic counts. Cancer, 75, 2114-2122.
    • (1995) Cancer , vol.75 , pp. 2114-2122
    • Ladekarl, M.1
  • 15
    • 0029115162 scopus 로고
    • Objective malignancy grading of squamous cell carcinoma of the lung. Stereologic estimates of the mean nuclear size are of prognostic value, independent of clinical stage of disease
    • Ladekarl, M., Bæk-Hansen, T., Nielsen, R. H., Mouritzen, C., Henriques, U. & Sørensen, F. B. (1995) Objective malignancy grading of squamous cell carcinoma of the lung. Stereologic estimates of the mean nuclear size are of prognostic value, independent of clinical stage of disease. Cancer, 76, 797-802.
    • (1995) Cancer , vol.76 , pp. 797-802
    • Ladekarl, M.1    Bæk-Hansen, T.2    Nielsen, R.H.3    Mouritzen, C.4    Henriques, U.5    Sørensen, F.B.6
  • 16
    • 0000684645 scopus 로고
    • Breast cancer diagnosis and prognosis via linear programming
    • Mangasarian, O. L., Street, W. N. & Wolberg, W. H. (1995) Breast cancer diagnosis and prognosis via linear programming. Operations Research, 43, 570-577.
    • (1995) Operations Research , vol.43 , pp. 570-577
    • Mangasarian, O.L.1    Street, W.N.2    Wolberg, W.H.3
  • 17
    • 0041082260 scopus 로고
    • Characterizations of convex sets
    • (ed. by P. M. Gruber and J. M. Wills). North-Holland, Amsterdam
    • Mani-Levitska, P. (1993) Characterizations of convex sets. Handbook of Convex Geometry (ed. by P. M. Gruber and J. M. Wills), pp. 19-41. North-Holland, Amsterdam.
    • (1993) Handbook of Convex Geometry , pp. 19-41
    • Mani-Levitska, P.1
  • 18
    • 0043162801 scopus 로고    scopus 로고
    • 2-Hermite interpolation
    • 2-Hermite interpolation. BIT, 41, 127-148.
    • (2001) BIT , vol.41 , pp. 127-148
    • Manni, C.1
  • 19
    • 0038060616 scopus 로고    scopus 로고
    • Classification of binary spatial textures using stochastic geometry, nonlinear deterministic analysis and artificial neural networks
    • Mattfeldt, T. (2003) Classification of binary spatial textures using stochastic geometry, nonlinear deterministic analysis and artificial neural networks. Int. J. Pattern Recogn. Artif. Intell. 17, 275-300.
    • (2003) Int. J. Pattern Recogn. Artif. Intell. , vol.17 , pp. 275-300
    • Mattfeldt, T.1
  • 20
    • 0034111340 scopus 로고    scopus 로고
    • Classification of spatial textures in benign and cancerous glandular tissues by stereology and stochastic geometry, using artificial neural networks
    • Mattfeldt, T., Gottfried, H. W., Schmidt, V. & Kestler, H. A. (2000) Classification of spatial textures in benign and cancerous glandular tissues by stereology and stochastic geometry, using artificial neural networks. J. Microsc. 198, 143-158.
    • (2000) J. Microsc. , vol.198 , pp. 143-158
    • Mattfeldt, T.1    Gottfried, H.W.2    Schmidt, V.3    Kestler, H.A.4
  • 21
    • 0001761212 scopus 로고
    • On the total curvature of knots
    • Milnor, J. W. (1950) On the total curvature of knots. Ann. Math. 52, 248-257.
    • (1950) Ann. Math. , vol.52 , pp. 248-257
    • Milnor, J.W.1
  • 22
    • 0035476141 scopus 로고    scopus 로고
    • Osculatory interpolation
    • Sakai, M. (2001) Osculatory interpolation. Comput. Aided Geom. Design, 18, 739-750.
    • (2001) Comput. Aided Geom. Design. , vol.18 , pp. 739-750
    • Sakai, M.1
  • 25
    • 0024539837 scopus 로고
    • Objective histopathological grading of cutaneous malignant melanomas by stereological estimation of nuclear volume: Prediction of survival and disease-free period
    • Sørensen, F. B. (1989) Objective histopathological grading of cutaneous malignant melanomas by stereological estimation of nuclear volume: prediction of survival and disease-free period. Cancer, 63, 1784-1798.
    • (1989) Cancer , vol.63 , pp. 1784-1798
    • Sørensen, F.B.1
  • 26
    • 0003466536 scopus 로고
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
    • Wahba, G. (1990) Spline Models from Observational Data. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
    • (1990) Spline Models from Observational Data
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.