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Volumn 25, Issue 10, 2007, Pages 1572-1587

Fast, accurate and convergent tangent estimation on digital contours

Author keywords

Digital straight segment; Maximal segments; Multigrid convergence; Tangent estimator

Indexed keywords

ASYMPTOTIC ANALYSIS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; THEOREM PROVING;

EID: 34447571802     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2006.06.019     Document Type: Article
Times cited : (60)

References (26)
  • 1
    • 0021197314 scopus 로고
    • Curvature and tangential deflection of discrete arcs: a theory based on the commutator of scatter matrix pairs and its application to vertex detection in planar shape data
    • Anderson I.M., and Bezdek J.C. Curvature and tangential deflection of discrete arcs: a theory based on the commutator of scatter matrix pairs and its application to vertex detection in planar shape data. IEEE Trans. Pattern Anal. Mach. Intell. 6 (1984) 27-40
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 27-40
    • Anderson, I.M.1    Bezdek, J.C.2
  • 2
    • 0032632064 scopus 로고    scopus 로고
    • Euclidean paths: a new representation of boundary of discrete regions
    • Braquelaire J.-P., and Vialard A. Euclidean paths: a new representation of boundary of discrete regions. Graph. Model. Image Process. 61 1 (1999) 16-43
    • (1999) Graph. Model. Image Process. , vol.61 , Issue.1 , pp. 16-43
    • Braquelaire, J.-P.1    Vialard, A.2
  • 3
    • 0742268829 scopus 로고    scopus 로고
    • A comparative evaluation of length estimators of digital curves
    • Coeurjolly D., and Klette R. A comparative evaluation of length estimators of digital curves. IEEE Trans. Pattern Anal. Mach. Intell. 26 2 (2004) 252-258
    • (2004) IEEE Trans. Pattern Anal. Mach. Intell. , vol.26 , Issue.2 , pp. 252-258
    • Coeurjolly, D.1    Klette, R.2
  • 4
    • 84995343233 scopus 로고    scopus 로고
    • D. Coeurjolly, O. Teytaud, Multigrid convergence of discrete differential estimators: discrete tangent and length estimation. Technical Report 0101, Laboratoire ERIC, Université Lumière - Lyon 2, France, 2001.
  • 5
    • 84995347581 scopus 로고    scopus 로고
    • D. Coeurjolly, Algorithmique et géométrie discrète pour la caractérisation des courbes et des surfaces. Ph.D. thesis, Université Lumière Lyon 2, France, 2002.
  • 8
    • 26444459801 scopus 로고    scopus 로고
    • F. de Vieilleville, J.-O. Lachaud, F. Feschet, Maximal digital straight segments and convergence of discrete geometric estimators, in: Proceedings of the 14th Scandinavian Conference on Image Analysis (SCIA'2005), Joensuu, Finland, vol. 3540 of LNCS, Springer (2005) 988-1003.
  • 9
    • 84995306084 scopus 로고    scopus 로고
    • F. de Vieilleville, J.-O. Lachaud, New bounds on the number and length of maximal segments on a convex digital polygon. Research Report 1364-05, LaBRI, University Bordeaux 1, Talence, France, 2005.
  • 10
    • 0022683309 scopus 로고
    • Best linear unbiased estimators for properties of digitized straight lines
    • Dorst L., and Smeulders A.W.M. Best linear unbiased estimators for properties of digitized straight lines. IEEE Trans. Pattern Anal. Mach. Intell. 8 2 (1986) 276-282
    • (1986) IEEE Trans. Pattern Anal. Mach. Intell. , vol.8 , Issue.2 , pp. 276-282
    • Dorst, L.1    Smeulders, A.W.M.2
  • 11
    • 0020202748 scopus 로고
    • Digital convexity, straightness, and convex polygons
    • Kim C.E. Digital convexity, straightness, and convex polygons. IEEE Trans. Pattern Anal. Mach. Intell. 6 6 (1982) 618-626
    • (1982) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , Issue.6 , pp. 618-626
    • Kim, C.E.1
  • 12
    • 84958780472 scopus 로고    scopus 로고
    • F. Feschet, L. Tougne, Optimal time computation of the tangent of a discrete curve: application to the curvature, in: Proceedings of DGCI'99, Springer (1999) 31-40.
  • 13
    • 84995343224 scopus 로고    scopus 로고
    • F. Feschet, L. Tougne, On the min dss problem of the closed discrete curves. Discrete Appl. Math. (2004). Accepted for publication.
  • 14
    • 0034506549 scopus 로고    scopus 로고
    • Multigrid convergence of calculated features in image analysis
    • Klette R., and Žunić J. Multigrid convergence of calculated features in image analysis. J. Math. Imaging Vis. 13 (2000) 173-191
    • (2000) J. Math. Imaging Vis. , vol.13 , pp. 173-191
    • Klette, R.1    Žunić, J.2
  • 15
    • 84995306083 scopus 로고    scopus 로고
    • V. Kovalevsky, S. Fuchs, Theoretical and experimental analysis of the accuracy of perimeter estimates, in: Förster, Ruwiedel (Eds.), Proceedings of the Robust Computer Vision, 1992, pp. 218-242.
  • 16
    • 24344438925 scopus 로고    scopus 로고
    • J.-O Lachaud, A. Vialard, F. de Vieilleville, Analysis and comparative evaluation of discrete tangent estimators, in: E. Andrès, G. Damiand, P. Lienhardt (Eds.), Proceedings of the International Conference on Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, vol. 3429 of LNCS, Springer, 2005, pp. 140-251.
  • 17
    • 84957581231 scopus 로고    scopus 로고
    • J.-O Lachaud, A. Vialard, Discrete deformable boundaries for the segmentation of multidimensional images, in: Proceedings of the 4th International Workshop on Visual Form, vol. 2059 of LNCS, Springer, 2001, pp. 542-551.
  • 18
    • 0242628721 scopus 로고    scopus 로고
    • J.-O Lachaud, A. Vialard, Geometric measures on arbitrary dimensional digital surfaces, in: Proceedings of DGCI'03, vol. 2886 of LNCS, Springer, 2003, pp. 434-443.
  • 19
    • 84995333232 scopus 로고    scopus 로고
    • J.-O Lachaud, On the convergence of some local geometric estimators on digitized curves. Research Report 1347-05, LaBRI, University Bordeaux 1, Talence, France, 2005.
  • 20
    • 84948977839 scopus 로고    scopus 로고
    • A. Lenoir, R. Malgouyres, M. Revenu, Fast computation of the normal vector field of the surface of a 3D discrete object, in: Proceedings of DGCI'96, vol. 1176 of LNCS, Springer, 1996, pp. 101-112.
  • 21
    • 84947785000 scopus 로고    scopus 로고
    • J. Matas, Z. Shao, J. Kittler, Estimation of curvature and tangent direction by median filtered differencing, in: Proceedings of 8th International Conference on Image Analysis and Processing, 1995, pp. 83-88.
  • 22
    • 84995338122 scopus 로고    scopus 로고
    • H. Reiter-Doerksen, I. Debled-Rennesson, Convex and concave parts of digital curves, in: Dagstuhl Seminar "Geometric Properties from Incomplete Data", March 2004.
  • 23
    • 84995347580 scopus 로고    scopus 로고
    • J.-P Réveillès, Géométrie discrète, Calcul en nombres entiers et algorithmique. Ph.D. thesis, Université Louis Pasteur, Strasbourg, France, 1991.
  • 24
    • 0242628751 scopus 로고    scopus 로고
    • M. Tajine, A. Daurat, On local definitions of length of digital curves, in: Lecture Notes in Computer Science, vol. 2886 of LNCS, Springer, 2003, pp. 114-123.
  • 25
    • 84948958179 scopus 로고    scopus 로고
    • A. Vialard, Geometrical parameters extraction from discrete paths, in: Proceedings of DGCI'96, vol. 1176 of LNCS, Springer, 1996, pp. 24-35.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.