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Volumn 7, Issue 1, 1997, Pages 53-68

Convex Set Symmetry Measurement via Minkowski Addition

Author keywords

Convex sets; Minkowski addition; Reflection symmetry; Rotation symmetry; Symmetrization transformation; Symmetry measure

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER VISION; FAST FOURIER TRANSFORMS; SET THEORY;

EID: 0030733126     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008266024101     Document Type: Article
Times cited : (17)

References (18)
  • 1
    • 44049118213 scopus 로고
    • A new set of fast algorithms for mathematical morphology. 1. Idempotent geodesic transforms
    • A. Bleau, J. Guise, and A.R. LeBlanc, "A new set of fast algorithms for mathematical morphology. 1. idempotent geodesic transforms," CVGIP: Image Understanding, Vol. 56, No. 2, pp. 178-209, 1992.
    • (1992) CVGIP: Image Understanding , vol.56 , Issue.2 , pp. 178-209
    • Bleau, A.1    Guise, J.2    LeBlanc, A.R.3
  • 3
    • 84968516059 scopus 로고
    • Measures of axial symmetry for ovals
    • B.A. de Valcourt, "Measures of axial symmetry for ovals," Bull. Amer. Math. Soc., Vol. 72, No. 2, pp. 289-290, 1966.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , Issue.2 , pp. 289-290
    • De Valcourt, B.A.1
  • 5
    • 0000448119 scopus 로고
    • Measures of symmetry for convex sets
    • Providence, USA
    • B. Grünbaum, "Measures of symmetry for convex sets," in Proc. Sympos. Pure Math., Providence, USA, Vol. 7, pp. 233-270, 1963.
    • (1963) Proc. Sympos. Pure Math. , vol.7 , pp. 233-270
    • Grünbaum, B.1
  • 8
    • 0004257620 scopus 로고
    • VEB Deutscher Verlag der Wissenschaften: Berlin
    • K. Leichtweiß, Konvexe Mengen, VEB Deutscher Verlag der Wissenschaften: Berlin, 1980.
    • (1980) Konvexe Mengen
    • Leichtweiß, K.1
  • 9
    • 2342653209 scopus 로고
    • On a rotational symmetry of convex sets
    • C. Arcelli, L. Cordella, and G. Sanniti di Baja (Eds.), World Scientific
    • G.L. Margolin and A.V. Tuzikov, "On a rotational symmetry of convex sets," in Aspects of Visual Form Processing, C. Arcelli, L. Cordella, and G. Sanniti di Baja (Eds.), World Scientific, pp. 354-363, 1994.
    • (1994) Aspects of Visual Form Processing , pp. 354-363
    • Margolin, G.L.1    Tuzikov, A.V.2
  • 12
    • 84986703543 scopus 로고
    • Mathematical morphology and convolutions
    • J.E. Mazille, "Mathematical morphology and convolutions," Journal of Microscopy, Vol. 156, No. 1, pp. 3-13, 1988.
    • (1988) Journal of Microscopy , vol.156 , Issue.1 , pp. 3-13
    • Mazille, J.E.1
  • 13
    • 33748504072 scopus 로고
    • Volumen and Oberfläche
    • H. Minkowski, "Volumen and Oberfläche," Math. Ann.,Vol. 57, pp. 447-495, 1903.
    • (1903) Math. Ann. , vol.57 , pp. 447-495
    • Minkowski, H.1
  • 14
    • 38249013773 scopus 로고
    • Fast erosion and dilation by contour processing and thresholding of distance maps
    • I. Rangnemalm, "Fast erosion and dilation by contour processing and thresholding of distance maps," Pattern Recognition Letters, Vol. 13, pp. 161-166, 1992.
    • (1992) Pattern Recognition Letters , vol.13 , pp. 161-166
    • Rangnemalm, I.1
  • 15
    • 2342476850 scopus 로고
    • Convex polygon symmetrization and decomposition via perimetric measure
    • A.V. Tuzikov, G.L. Margolin, and A.I. Grenov, "Convex polygon symmetrization and decomposition via perimetric measure," in SPIE Proceedings, 1994, Vol. 2180, pp. 239-247.
    • (1994) SPIE Proceedings , vol.2180 , pp. 239-247
    • Tuzikov, A.V.1    Margolin, G.L.2    Grenov, A.I.3
  • 17
    • 44049115797 scopus 로고
    • Methods for fast morphological image transforms using bitmapped binary images
    • R. van den Boomgaard and R. van Balen, "Methods for fast morphological image transforms using bitmapped binary images," Computer Vision, Graphics and Image Processing, Vol. 54, No. 3, pp. 252-258, 1992.
    • (1992) Computer Vision, Graphics and Image Processing , vol.54 , Issue.3 , pp. 252-258
    • Van Den Boomgaard, R.1    Van Balen, R.2
  • 18
    • 0025802377 scopus 로고
    • Morphological transformations of binary images with arbitrary structuring elements
    • Luc Vincent, "Morphological transformations of binary images with arbitrary structuring elements," Signal Processing, Vol. 22, No. 1, pp. 3-23, 1991.
    • (1991) Signal Processing , vol.22 , Issue.1 , pp. 3-23
    • Vincent, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.