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Volumn 26, Issue 10, 2004, Pages 1283-1294

Stable fitting of 2D curves and 3D surfaces by implicit polynomials

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CURVE FITTING; ERROR ANALYSIS; OPTIMIZATION; POLYNOMIALS; SENSITIVITY ANALYSIS;

EID: 4644312437     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2004.91     Document Type: Article
Times cited : (48)

References (20)
  • 2
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    • G. Taubin, "Estimation of Planar Curves, Surfaces and Nonplanar Space Curves Defined by Implicit Equations, with Applications to Edge and Range Image Segmentation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 13, no. 11, pp. 1115-1138, Nov. 1991.
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    • Taubin, G.1
  • 5
    • 0027274377 scopus 로고
    • Recognizing algebraic surfaces from their outlines
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    • D.A. Forsyth, "Recognizing Algebraic Surfaces from Their Outlines," Proc. Int'l Conf. Computer Vision, pp. 476-480, May 1993.
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    • Forsyth, D.A.1
  • 6
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    • Recognizing groups of curves based on new affine mutual geometric invariants, with applications to recognizing intersecting roads in aerial images
    • Oct
    • M. Barzohar, D. Keren, and D. Cooper, "Recognizing Groups of Curves Based on New Affine Mutual Geometric Invariants, with Applications to Recognizing Intersecting Roads in Aerial Images," Proc. IAPR Int'l Conf. Pattern Recognition, vol. 1, pp. 205-209, Oct. 1994.
    • (1994) Proc. IAPR Int'l Conf. Pattern Recognition , vol.1 , pp. 205-209
    • Barzohar, M.1    Keren, D.2    Cooper, D.3
  • 7
    • 0034224507 scopus 로고    scopus 로고
    • The complex representation of algebraic curves and its simple exploitation for pose estimation and invariant recognition
    • July
    • J.-P. Trael and D.B. Cooper, "The Complex Representation of Algebraic Curves and Its Simple Exploitation for Pose Estimation and Invariant Recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 22, no. 7, pp. 663-674, July 2000.
    • (2000) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.22 , Issue.7 , pp. 663-674
    • Trael, J.-P.1    Cooper, D.B.2
  • 9
    • 33750965926 scopus 로고    scopus 로고
    • Boundary estimation from intensity/color images with algebraic curve models
    • T. Tasdizen and D.B. Cooper, "Boundary Estimation from Intensity/Color Images with Algebraic Curve Models," Int'l Conf. Pattern Recognition, pp. 1225-1228, 2000.
    • (2000) Int'l Conf. Pattern Recognition , pp. 1225-1228
    • Tasdizen, T.1    Cooper, D.B.2
  • 10
    • 0027680656 scopus 로고
    • Higher-order interpolation and least-squares approximation using implicit algebraic surfaces
    • C. Bajaj, I. Ihm, and J. Warren, "Higher-Order Interpolation and Least-Squares Approximation Using Implicit Algebraic Surfaces," ACM Trans. Graphics, vol. 12, no. 4, pp. 327-347, 1993.
    • (1993) ACM Trans. Graphics , vol.12 , Issue.4 , pp. 327-347
    • Bajaj, C.1    Ihm, I.2    Warren, J.3
  • 11
    • 0030143069 scopus 로고    scopus 로고
    • Practical reliable bayesian recognition of 2D and 3D objects using implicit polynomials and algebraic invariants
    • J. Subrahmonia, D. Cooper, and D. Keren, "Practical Reliable Bayesian Recognition of 2D and 3D Objects Using Implicit Polynomials and Algebraic Invariants," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, pp. 505-519, 1996.
    • (1996) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.18 , pp. 505-519
    • Subrahmonia, J.1    Cooper, D.2    Keren, D.3
  • 12
    • 0032298102 scopus 로고    scopus 로고
    • Covariant conics decomposition of quartics for 2-D object recognition and affine alignment
    • Oct
    • J.-P. Tarel, W.A. Wolovich, and D.B. Cooper, "Covariant Conics Decomposition of Quartics for 2-D Object Recognition and Affine Alignment," Proc. Int'l Conf. Image Processing, Oct. 1998.
    • (1998) Proc. Int'l Conf. Image Processing
    • Tarel, J.-P.1    Wolovich, W.A.2    Cooper, D.B.3
  • 14
    • 0029724917 scopus 로고    scopus 로고
    • New, faster, more controlled fitting of implicit polynomial 2D curves and 3D surfaces to data
    • June
    • Z. Lei and D.B. Cooper, "New, Faster, More Controlled Fitting of Implicit Polynomial 2D Curves and 3D Surfaces to Data," Proc. IEEE Conf. Computer Vision and Pattern Recognition, June 1996.
    • (1996) Proc. IEEE Conf. Computer Vision and Pattern Recognition
    • Lei, Z.1    Cooper, D.B.2
  • 16
    • 0032793369 scopus 로고    scopus 로고
    • Fitting curves and surfaces with constrained implicit polynomials
    • Jan
    • D. Keren and C. Gotsman, "Fitting Curves and Surfaces with Constrained Implicit Polynomials," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 21, no. 1, pp. 31-41, Jan. 1999.
    • (1999) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.21 , Issue.1 , pp. 31-41
    • Keren, D.1    Gotsman, C.2
  • 17
    • 0033903716 scopus 로고    scopus 로고
    • Improving the stability of algebraic curves for applications
    • Mar
    • T. Tasdizen, J.-P. Tarel, and D.B. Cooper, "Improving the Stability of Algebraic Curves for Applications," IEEE Trans. Image Processing, vol. 9, no. 3, pp. 405-416, Mar. 2000.
    • (2000) IEEE Trans. Image Processing , vol.9 , Issue.3 , pp. 405-416
    • Tasdizen, T.1    Tarel, J.-P.2    Cooper, D.B.3
  • 18
    • 4644318026 scopus 로고    scopus 로고
    • Robust fitting of implicit polynomials with quantized coefficients to 2D data
    • Sept
    • A. Helzer, M. Bar-Zohar, and D. Malah, "Robust Fitting of Implicit Polynomials with Quantized Coefficients to 2D Data," Proc. 15th Int'l Conf. Pattern Recognition, pp. 290-293, Sept. 2000.
    • (2000) Proc. 15th Int'l Conf. Pattern Recognition , pp. 290-293
    • Helzer, A.1    Bar-Zohar, M.2    Malah, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.