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Volumn 14, Issue 4, 1998, Pages 461-474

Utilizing moment invariants and Gröbner bases to reason about shapes

Author keywords

Geometric reasoning; Shape recognition

Indexed keywords

COMPUTATIONAL GEOMETRY; DECISION THEORY; LEAST SQUARES APPROXIMATIONS; PATTERN RECOGNITION; PROBLEM SOLVING; THEOREM PROVING;

EID: 0032209938     PISSN: 08247935     EISSN: None     Source Type: Journal    
DOI: 10.1111/0824-7935.00072     Document Type: Article
Times cited : (8)

References (15)
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    • BUCHBERGER, B. 1985. An algorithmic method in polynomial ideal theory. In Multidimensional Systems Theory. Edited by N. K. Bose. Reidel, Dordrecht, pp. 184-232.
    • (1985) Multidimensional Systems Theory , pp. 184-232
    • Buchberger, B.1
  • 5
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • HU, M. 1962. Visual pattern recognition by moment invariants. IRE Transactions on Information Theory, 8:179-187.
    • (1962) IRE Transactions on Information Theory , vol.8 , pp. 179-187
    • Hu, M.1
  • 6
    • 0022476533 scopus 로고
    • A superexponential lower bound for Gröbner bases and the Church-Rosser commutative Thue systems
    • HUYNH, D. T. 1986. A superexponential lower bound for Gröbner bases and the Church-Rosser commutative Thue systems. Information and Control, 68(1-3):196-206.
    • (1986) Information and Control , vol.68 , Issue.1-3 , pp. 196-206
    • Huynh, D.T.1
  • 7
    • 11744298060 scopus 로고
    • A refutational approach to geometry theorem proving
    • Edited by Deepak Kapur and Joseph L. Mundy. The MIT Press, Cambridge, MA
    • KAPUR, D. 1989. A refutational approach to geometry theorem proving. In Geometric Reasoning. Edited by Deepak Kapur and Joseph L. Mundy. The MIT Press, Cambridge, MA, pp. 61-93.
    • (1989) Geometric Reasoning , pp. 61-93
    • Kapur, D.1
  • 8
    • 0026897925 scopus 로고
    • Reforming the theory of invariant moments for pattern recognition
    • LI YANJUN. 1992. Reforming the theory of invariant moments for pattern recognition. Pattern Recognition, 25(7):723-730.
    • (1992) Pattern Recognition , vol.25 , Issue.7 , pp. 723-730
    • Li, Y.1
  • 9
    • 38249025809 scopus 로고
    • Notes on Gröbner bases
    • MISHRA, B., and CHEE YAP. 1989. Notes on Gröbner bases. Information Sciences, 48:219-252.
    • (1989) Information Sciences , vol.48 , pp. 219-252
    • Mishra, B.1    Yap, C.2
  • 11
    • 0027624646 scopus 로고
    • A general approach to moment calculation for polygons and line segments
    • SINGER, M. H. 1993. A general approach to moment calculation for polygons and line segments. Pattern Recognition, 26:1019-1028.
    • (1993) Pattern Recognition , vol.26 , pp. 1019-1028
    • Singer, M.H.1
  • 13
    • 0000378392 scopus 로고
    • Short monotone formulae for the majority function
    • VALIANT, L. G. 1984. Short monotone formulae for the majority function. Journal of Algorithms, 5:363-366.
    • (1984) Journal of Algorithms , vol.5 , pp. 363-366
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.