메뉴 건너뛰기




Volumn 72, Issue 3, 1998, Pages 379-403

Support Function Representation of Convex Bodies, Its Application in Geometric Computing, and Some Related Representations

Author keywords

Convexity; Fourier transform; Legendre transformation; Mathematical morphology; Polar body; Shape representation and analysis; Support function

Indexed keywords

ALGEBRA; COMPUTATIONAL GEOMETRY; CONVOLUTION; FOURIER TRANSFORMS; FUNCTIONS; IMAGE RECONSTRUCTION; MATHEMATICAL MORPHOLOGY;

EID: 0032288587     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1006/cviu.1998.0674     Document Type: Article
Times cited : (41)

References (32)
  • 2
    • 0003649603 scopus 로고
    • Springer-Verlag, Berlin/New York
    • M. Berger, Geometry I & II, Springer-Verlag, Berlin/New York, 1987.
    • (1987) Geometry I & II
    • Berger, M.1
  • 9
  • 10
    • 0024163356 scopus 로고
    • A mathematical model for shape description using minkowski operators
    • P. K. Ghosh, A mathematical model for shape description using minkowski operators, Comput. Vision Graphics Image Process. 44, 1988, 239-269.
    • (1988) Comput. Vision Graphics Image Process. , vol.44 , pp. 239-269
    • Ghosh, P.K.1
  • 11
    • 0030167549 scopus 로고    scopus 로고
    • Mathematical morphological operations of boundary-represented geometric objects
    • P. K. Ghosh and R. M. Haralick, Mathematical morphological operations of boundary-represented geometric objects, J. Math. Imaging Vision 6(2/3), 1996, 199-222.
    • (1996) J. Math. Imaging Vision , vol.6 , Issue.2-3 , pp. 199-222
    • Ghosh, P.K.1    Haralick, R.M.2
  • 12
    • 0001908738 scopus 로고
    • Fourier series and spherical harmonics in convexity
    • (P. M. Gruber and J. M. Wills, Eds.), Chap. 4.8, Elsevier Science, Amsterdam/New York
    • H. Groemer, Fourier series and spherical harmonics in convexity, in Handbook of Convex Geometry (P. M. Gruber and J. M. Wills, Eds.), Chap. 4.8, Elsevier Science, Amsterdam/New York, 1993.
    • (1993) Handbook of Convex Geometry
    • Groemer, H.1
  • 15
    • 0030164593 scopus 로고    scopus 로고
    • Local tests for consistency of support hyperplane data
    • W. C. Karl et al., Local tests for consistency of support hyperplane data, J. Math. Imaging Vision 6(2/3), 1996.
    • (1996) J. Math. Imaging Vision , vol.6 , Issue.2-3
    • Karl, W.C.1
  • 16
    • 0026461546 scopus 로고
    • Solid-interpolating deformations: Construction and animation of pips
    • A. Kaul and J. R. Rossignac, Solid-interpolating deformations: Construction and animation of pips, Comput. Graphics 16(1), 1992, 107-115.
    • (1992) Comput. Graphics , vol.16 , Issue.1 , pp. 107-115
    • Kaul, A.1    Rossignac, J.R.2
  • 18
    • 85030042183 scopus 로고
    • Ph.D. thesis, University of Amsterdam, April
    • P. Keuning, 2D Shape from Touching, Ph.D. thesis, University of Amsterdam, April 1995.
    • (1995) 2D Shape from Touching
    • Keuning, P.1
  • 19
    • 0011821934 scopus 로고
    • Digital Press, Am. Math. Soc. Providence
    • EX and METAFONT, Digital Press, Am. Math. Soc. Providence, 1979.
    • (1979) EX and METAFONT
    • Knuth, D.E.1
  • 21
    • 0029289337 scopus 로고
    • Slope transforms: Theory and application to nonlinear signal processing
    • P. Maragos, Slope transforms: Theory and application to nonlinear signal processing, IEEE Trans. Signal Process. 43(4), 1995, 864-877.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.4 , pp. 864-877
    • Maragos, P.1
  • 22
    • 0345994065 scopus 로고
    • The representation and manipulation of convex polygons
    • (R. A. Earnshaw, Ed.), Springer-Verlag, Berlin/New York
    • A. E. Middleditch, The representation and manipulation of convex polygons, in Theoretical Foundations of Computer Graphics and CAD (R. A. Earnshaw, Ed.), Springer-Verlag, Berlin/New York, 1988.
    • (1988) Theoretical Foundations of Computer Graphics and CAD
    • Middleditch, A.E.1
  • 23
    • 0024176310 scopus 로고    scopus 로고
    • Recovering shape deformation by an extended circular image representation
    • IEEE Comput. Soc., Los Alamitos, CA
    • E. E. Milios, Recovering shape deformation by an extended circular image representation, in Second International Conference on Computer Vision, December 5-8, 1988, pp. 20-29. IEEE Comput. Soc., Los Alamitos, CA.
    • Second International Conference on Computer Vision, December 5-8, 1988 , pp. 20-29
    • Milios, E.E.1
  • 31
    • 84978933841 scopus 로고    scopus 로고
    • Beyond the Hough Transform: Further Properties of the Rθ Mapping and Their Applications
    • Springer-Verlag, Berlin/New York
    • M. Wright et al., Beyond the Hough Transform: Further Properties of the Rθ Mapping and Their Applications, Lecture Notes in Comput. Sci., Vol. 1144, pp. 361-380. Springer-Verlag, Berlin/New York, 1996.
    • (1996) Lecture Notes in Comput. Sci. , vol.1144 , pp. 361-380
    • Wright, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.