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Volumn 35, Issue 14, 2003, Pages 1305-1313

Polynomial approximation to clothoids via s-power series

Author keywords

Clothoid; Hermite approximation; Hermitian spline; s Power series

Indexed keywords

COMPUTER AIDED DESIGN; JOINTS (STRUCTURAL COMPONENTS); SPLINES; TRAJECTORIES;

EID: 17144432668     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(03)00045-9     Document Type: Article
Times cited : (43)

References (25)
  • 1
    • 0035546277 scopus 로고    scopus 로고
    • An approximation approach of the clothoid curve defined in the interval [0,π/2] and its offset by free-form curves
    • Wang L.Z., Miura K., Nakamae E., Yamamoto T., Wang T.J. An approximation approach of the clothoid curve defined in the interval [0,π/2] and its offset by free-form curves. Comput-Aid Des. 33:(14):2001;1049-1058.
    • (2001) Comput-aid Des , vol.33 , Issue.14 , pp. 1049-1058
    • Wang, L.Z.1    Miura, K.2    Nakamae, E.3    Yamamoto, T.4    Wang, T.J.5
  • 5
    • 0025635335 scopus 로고
    • Clothoidal splines
    • Walton D.J., Meek D.S. Clothoidal splines. Comput Graph. 14:(1):1990;95-100.
    • (1990) Comput Graph , vol.14 , Issue.1 , pp. 95-100
    • Walton, D.J.1    Meek, D.S.2
  • 7
    • 0030689441 scopus 로고    scopus 로고
    • Collision-free and continuous-curvature path planning for car-like robots
    • Albuquerque NM (US)
    • Scheuer A., Fraichard T. Collision-free and continuous-curvature path planning for car-like robots. Proc IEEE Int Conf Robotics Automation, Albuquerque NM (US). 1:1997;867-873.
    • (1997) Proc IEEE Int Conf Robotics Automation , vol.1 , pp. 867-873
    • Scheuer, A.1    Fraichard, T.2
  • 10
    • 84968517919 scopus 로고
    • Computation of Fresnel integrals
    • Boersma J. Computation of Fresnel integrals. Math Comput. 14:1960;380.
    • (1960) Math Comput , vol.14 , pp. 380
    • Boersma, J.1
  • 11
    • 0003236959 scopus 로고
    • Chebyshev approximations for the Fresnel integrals
    • Cody W.J. Chebyshev approximations for the Fresnel integrals. Math Comput. 22:1968;450-453.
    • (1968) Math Comput , vol.22 , pp. 450-453
    • Cody, W.J.1
  • 12
    • 84966246475 scopus 로고
    • Rational approximations for the Fresnel integrals
    • Heald M.A. Rational approximations for the Fresnel integrals. Math Comput. 44:(170):1985;459-461.
    • (1985) Math Comput , vol.44 , Issue.170 , pp. 459-461
    • Heald, M.A.1
  • 14
    • 0024656221 scopus 로고
    • The numerical problem of using Bézier curves and surfaces in the power basis
    • Daniel M., Daubisse J.C. The numerical problem of using Bézier curves and surfaces in the power basis. Comput Aid Geometric Des. 6:(2):1989;121-128.
    • (1989) Comput Aid Geometric Des , vol.6 , Issue.2 , pp. 121-128
    • Daniel, M.1    Daubisse, J.C.2
  • 15
    • 0026102939 scopus 로고
    • On the stability of transformations between power and Bernstein polynomial forms
    • Farouki R.T. On the stability of transformations between power and Bernstein polynomial forms. Comput Aid Geometric Des. 8:(1):1991;29-36.
    • (1991) Comput Aid Geometric Des , vol.8 , Issue.1 , pp. 29-36
    • Farouki, R.T.1
  • 21
    • 0031188880 scopus 로고    scopus 로고
    • The symmetric analogue of the polynomial power basis
    • Sánchez-Reyes J. The symmetric analogue of the polynomial power basis. ACM Trans Graph. 16:(3):1997;319-357.
    • (1997) ACM Trans Graph , vol.16 , Issue.3 , pp. 319-357
    • Sánchez-Reyes, J.1
  • 22
    • 0004476483 scopus 로고    scopus 로고
    • Applications of the s-power basis in geometry processing
    • Sánchez-Reyes J. Applications of the s-power basis in geometry processing. ACM Trans Graph. 9:(1):2000;27-55.
    • (2000) ACM Trans Graph , vol.9 , Issue.1 , pp. 27-55
    • Sánchez-Reyes, J.1
  • 23
    • 0035393412 scopus 로고    scopus 로고
    • Inverse approximations for functions via s-power series
    • Sánchez-Reyes J. Inverse approximations for functions via s-power series. Comput Aid Geometric Des. 18:(6):2001;587-608.
    • (2001) Comput Aid Geometric Des , vol.18 , Issue.6 , pp. 587-608
    • Sánchez-Reyes, J.1
  • 25
    • 0031195475 scopus 로고    scopus 로고
    • Approximation of logarithmic spirals
    • Baumgarten C., Farin G. Approximation of logarithmic spirals. Comput Aid Geometric Des. 14:(6):1997;515-532.
    • (1997) Comput Aid Geometric Des , vol.14 , Issue.6 , pp. 515-532
    • Baumgarten, C.1    Farin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.