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Volumn 1360, Issue , 1997, Pages 115-140

Clifford algebraic calculus for geometric reasoning with application to computer vision

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; AUTOMATION; CALCULATIONS; COMPUTATION THEORY; COMPUTER VISION; GEOMETRY;

EID: 84957043074     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (10)

References (20)
  • 1
    • 0027274167 scopus 로고
    • Automated production of traditional proofs for constructive geometry theorems
    • (Montreal, June 19-23
    • Chou, S.-C., Gao, X.-S., Zhang, J.-Z.: Automated production of traditional proofs for constructive geometry theorems. In: Proc. 8th IEEE Syrup. LICS (Montreal, June 19-23, 1993), pp. 48-56.
    • (1993) Proc. 8Th IEEE Syrup. LICS , pp. 48-56
    • Chou, S.-C.1    Gao, X.-S.2    Zhang, J.-Z.3
  • 2
    • 0342532624 scopus 로고
    • Automated geometry theorem proving by vector calculation
    • (Kiev, July 6-8
    • Chou, S.-C., Gao, X.-S., Zhang, J.-Z.: Automated geometry theorem proving by vector calculation. In: Proc. ISSAC '93 (Kiev, July 6-8, 1993), pp. 284-291.
    • (1993) Proc. ISSAC '93 , pp. 284-291
    • Chou, S.-C.1    Gao, X.-S.2    Zhang, J.-Z.3
  • 4
    • 0028714976 scopus 로고
    • An algebraic framework for fusing geometric constraints of vision and range sensor data
    • (Las Vegas, October 2-5
    • Deguchi, K.: An algebraic framework for fusing geometric constraints of vision and range sensor data. In: Proc. IEEE Int. Conf. MFI '94 (Las Vegas, October 2-5, 1994), pp. 329-336.
    • (1994) Proc. IEEE Int. Conf. MFI '94 , pp. 329-336
    • Deguchi, K.1
  • 5
    • 0011306552 scopus 로고
    • Some examples of the use of distances as coordinates for Euclidean geometry
    • Havel, T. F.: Some examples of the use of distances as coordinates for Euclidean geometry. J. Symb. Comput. 11:579-593 (1991).
    • (1991) J. Symb. Comput , vol.11 , pp. 579-593
    • Havel, T.F.1
  • 8
    • 84984647753 scopus 로고
    • Non-comrnutative Gröbner bases in algebras of solvable type
    • Kandri-Rody, A., Weispfenning, V.: Non-comrnutative Gröbner bases in algebras of solvable type. J. Symb. Comput. 9:1-26 (1990).
    • (1990) J. Symb. Comput , vol.9 , pp. 1-26
    • Kandri-Rody, A.1    Weispfenning, V.2
  • 9
    • 0024125208 scopus 로고
    • Wu's method and its application to perspective viewing
    • Kapur, D., Mundy, J. L.: Wu's method and its application to perspective viewing. Artif. Intell. 37:15-26 (1988).
    • (1988) Artif. Intell , vol.37 , pp. 15-26
    • Kapur, D.1    Mundy, J.L.2
  • 11
    • 84956973345 scopus 로고    scopus 로고
    • Clifford algebra and area method
    • Li, H.: Clifford algebra and area method. Math. Mech. Res. Preprints 14:37-69 (1996).
    • (1996) Math. Mech. Res. Preprints , vol.14 , pp. 37-69
    • Li, H.1
  • 12
    • 84947969938 scopus 로고
    • Proving theorems in elementary geometry with Clifford algebraic method
    • Academia Sinica, China
    • Li, H., Cheng, M.-t.: Proving theorems in elementary geometry with Clifford algebraic method. Preprint, MMRC, Academia Sinica, China (1995).
    • (1995) Preprint, MMRC
    • Li, H.1    Cheng, M.-T.2
  • 13
    • 21844496550 scopus 로고
    • MechanicM theorem proving in projective geometry
    • Richter-Gebert, J.: MechanicM theorem proving in projective geometry. Ann. Math. Artif. Intell. 13:139-172 (1995).
    • (1995) Ann. Math. Artif. Intell , vol.13 , pp. 139-172
    • Richter-Gebert, J.1
  • 14
    • 0343402092 scopus 로고
    • Geometry theorem proving in vector spaces by means of Grgbner bases
    • Kiev, July 6-8
    • Stifter, S.: Geometry theorem proving in vector spaces by means of Grgbner bases. In: Proc. ISSAC '93 (Kiev, July 6-8, 1993), pp. 301-310.
    • (1993) Proc. ISSAC '93 , pp. 301-310
    • Stifter, S.1
  • 15
    • 84956977654 scopus 로고
    • Algebra, Springer, Berlin Heidelberg
    • van der Waerden, B. L.: Algebra, vol. II. Springer, Berlin Heidelberg (1959).
    • (1959) , vol.2
    • van der Waerden, B.L.1
  • 16
    • 72449154395 scopus 로고
    • On Wu's method for proving constructive geometric theorems
    • (Detroit, August 20-25
    • Wang, D.: On Wu's method for proving constructive geometric theorems. In: Proc. IJCAI '89 (Detroit, August 20-25, 1989), pp. 419-424.
    • (1989) Proc. IJCAI '89 , pp. 419-424
    • Wang, D.1
  • 17
    • 84947930542 scopus 로고    scopus 로고
    • Geometry machines: From AI to SMC
    • Steyr, September 23-25, LNCS
    • Wang, D.: Geometry machines: From AI to SMC. In: Proc. AISMC-3 (Steyr, September 23-25, 1996), LNCS 1138, pp. 213-239.
    • (1996) Proc. AISMC-3 , vol.1138 , pp. 213-239
    • Wang, D.1
  • 18
    • 3543080989 scopus 로고
    • Construction heuristics for geometry and a vector algebra representation of geometry
    • Project MAC, MIT, Cambridge, USA
    • Wong, R.: Construction heuristics for geometry and a vector algebra representation of geometry. Tech. Memo. 28, Project MAC, MIT, Cambridge, USA (1972).
    • (1972) Tech. Memo , vol.28
    • Wong, R.1
  • 19
    • 0347428627 scopus 로고
    • Toward mechanization of geometry--Some comments on Hilbert's "Grundlagen der Geometric
    • Wu, W.-t.: Toward mechanization of geometry--Some comments on Hilbert's "Grundlagen der Geometric". Acta Math. Scientia 2:125-138 (1982).
    • (1982) Acta Math. Scientia , vol.2 , pp. 125-138
    • Wu, W.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.