메뉴 건너뛰기




Volumn 15, Issue 2, 2003, Pages 147-162

Surface subdivision schemes generated by refinable bivariate spline function vectors

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER AIDED DESIGN; COMPUTER GRAPHICS; FUNCTION EVALUATION; MATRIX ALGEBRA; TOPOLOGY;

EID: 0346849805     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1063-5203(03)00062-9     Document Type: Letter
Times cited : (27)

References (19)
  • 1
    • 0003352571 scopus 로고
    • Multivariate splines
    • SIAM, Philadelphia
    • C.K. Chui, Multivariate splines, in: NSF-CBMS Series, Vol. 54, SIAM, Philadelphia, 1988.
    • (1988) NSF-CBMS Series , vol.54
    • Chui, C.K.1
  • 2
    • 0041590314 scopus 로고
    • Vertex splines and their applications to interpolation of discrete data
    • in: W. Dahmen, M. Gasca, C.A. Micchelli (Eds.); Kluwer Academic
    • C.K. Chui, Vertex splines and their applications to interpolation of discrete data, in: W. Dahmen, M. Gasca, C.A. Micchelli (Eds.), Computation of Curves and Surfaces, Kluwer Academic, 1990, pp. 137-181.
    • (1990) Computation of Curves and Surfaces , pp. 137-181
    • Chui, C.K.1
  • 4
    • 84976724020 scopus 로고
    • A butterfly subdivision scheme for surface interpolation with tension control
    • N. Dyn, D. Levin, I.A. Gregory, A butterfly subdivision scheme for surface interpolation with tension control, ACM Trans. Graphics 2 (1990) 160-169.
    • (1990) ACM Trans. Graphics , vol.2 , pp. 160-169
    • Dyn, N.1    Levin, D.2    Gregory, I.A.3
  • 5
    • 0000942852 scopus 로고
    • Time-frequency localization in transforms, subbands, and wavelet: A critical review
    • R.A. Haddad, A.N. Akansu, A. Benyassine, Time-frequency localization in transforms, subbands, and wavelet: a critical review, Opt. Eng. 32 (1993) 1411-1429.
    • (1993) Opt. Eng. , vol.32 , pp. 1411-1429
    • Haddad, R.A.1    Akansu, A.N.2    Benyassine, A.3
  • 7
    • 0242479757 scopus 로고    scopus 로고
    • Multivariate refinable Hermite interpolants
    • in press
    • B. Han, T. Yu, B. Piper, Multivariate refinable Hermite interpolants, Math. Comp., in press.
    • Math. Comp.
    • Han, B.1    Yu, T.2    Piper, B.3
  • 8
    • 0002481221 scopus 로고
    • Wavelet matrices and the representation of discrete functions
    • in: C.K. Chui (Ed.); Academic Press, Boston, MA
    • P.N. Heller, H.L. Resnikoff, R.O. Wells, Wavelet matrices and the representation of discrete functions, in: C.K. Chui (Ed.), Wavelets-A Tutorial in Theory and Applications, Academic Press, Boston, MA, 1992, pp. 15-50.
    • (1992) Wavelets-A Tutorial in Theory and Applications , pp. 15-50
    • Heller, P.N.1    Resnikoff, H.L.2    Wells, R.O.3
  • 9
    • 0032441174 scopus 로고    scopus 로고
    • Shift-invariant spaces and linear operator equations
    • R.Q. Jia, Shift-invariant spaces and linear operator equations, Israel J. Math. 103 (1998) 259-288.
    • (1998) Israel J. Math. , vol.103 , pp. 259-288
    • Jia, R.Q.1
  • 10
    • 0346878763 scopus 로고    scopus 로고
    • Approximation power of refinable vectors of functions
    • American Mathematical Society, Providence, RI
    • R.Q. Jia, Q.T. Jiang, Approximation power of refinable vectors of functions, in: Wavelet Analysis and Applications, in: Studies Adv. Math., Vol. 25, American Mathematical Society, Providence, RI, 2002, pp. 155-178.
    • (2002) Wavelet Analysis and Applications, In: Studies Adv. Math. , vol.25 , pp. 155-178
    • Jia, R.Q.1    Jiang, Q.T.2
  • 11
    • 0002888350 scopus 로고
    • Using the refinement equations for the construction of pre-wavelets II: Powers of two
    • Academic Press, Boston, MA
    • R.Q. Jia, C.A. Miccheli, Using the refinement equations for the construction of pre-wavelets II: Powers of two, in: Curves and Surfaces, Academic Press, Boston, MA, 1991, pp. 209-246.
    • (1991) Curves and Surfaces , pp. 209-246
    • Jia, R.Q.1    Miccheli, C.A.2
  • 12
    • 0038547747 scopus 로고    scopus 로고
    • Triangular √3-subdivision schemes: The regular case
    • Q.T. Jiang, P. Oswald, Triangular √3-subdivision schemes: the regular case, J. Comput. Appl. Math. 156 (2003) 47-75.
    • (2003) J. Comput. Appl. Math. , vol.156 , pp. 47-75
    • Jiang, Q.T.1    Oswald, P.2
  • 16
    • 0004011237 scopus 로고
    • Smooth subdivision surfaces based on triangles
    • Master's thesis, Dept. of Math., University of Utah
    • C. Loop, Smooth subdivision surfaces based on triangles, Master's thesis, Dept. of Math., University of Utah, 1987.
    • (1987)
    • Loop, C.1
  • 17
    • 0038485753 scopus 로고    scopus 로고
    • Composite primal/dual √3-subdivision schemes
    • P. Oswald, P. Schröder, Composite primal/dual √3-subdivision schemes, CAGD 20 (2003) 135-164.
    • (2003) CAGD , vol.20 , pp. 135-164
    • Oswald, P.1    Schröder, P.2
  • 18
    • 84968510033 scopus 로고
    • I(2, F[z, 1/z]) for F a subfield of C
    • I(2, F[z, 1/z]) for F a subfield of C, J. Amer. Math. Soc. 3 (1990) 611-624.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 611-624
    • Pollen, D.1
  • 19
    • 0024701323 scopus 로고
    • Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices
    • P.P. Vaidyanathan, T.Q. Nguyen, Z. Doganata, T. Saramäki, Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices, IEEE Trans. ASSP 37 (1989) 1042-1056.
    • (1989) IEEE Trans. ASSP , vol.37 , pp. 1042-1056
    • Vaidyanathan, P.P.1    Nguyen, T.Q.2    Doganata, Z.3    Saramäki, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.