메뉴 건너뛰기




Volumn 20, Issue 3, 2006, Pages 375-390

On construction of multivariate wavelets with vanishing moments

Author keywords

Interpolatory mask; Matrix dilation; Unitary Extension Principle; Wavelet system

Indexed keywords

INTERPOLATION; MATRIX ALGEBRA; WAVELET TRANSFORMS;

EID: 33646108855     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2005.06.001     Document Type: Article
Times cited : (19)

References (16)
  • 2
    • 0032388122 scopus 로고    scopus 로고
    • Approximation properties of multivariate wavelets
    • Jia R.Q. Approximation properties of multivariate wavelets. Math. Comp. 67 (1998) 647-655
    • (1998) Math. Comp. , vol.67 , pp. 647-655
    • Jia, R.Q.1
  • 3
    • 0347755615 scopus 로고    scopus 로고
    • Multivariate refinable functions of high approximation order via quotient ideals of Laurent polynomials
    • Möller H.M., and Sauer T. Multivariate refinable functions of high approximation order via quotient ideals of Laurent polynomials. Adv. Comput. Math. 20 1-3 (2004) 205-228
    • (2004) Adv. Comput. Math. , vol.20 , Issue.1-3 , pp. 205-228
    • Möller, H.M.1    Sauer, T.2
  • 4
    • 0000625551 scopus 로고    scopus 로고
    • The construction of r-regular wavelets for arbitrary dilation
    • Bownik M. The construction of r-regular wavelets for arbitrary dilation. J. Fourier Anal. Appl. 7 (2001) 489-506
    • (2001) J. Fourier Anal. Appl. , vol.7 , pp. 489-506
    • Bownik, M.1
  • 5
    • 0003251703 scopus 로고    scopus 로고
    • A Mathematical Introduction to Wavelets
    • Cambridge Univ. Press
    • Wojtaszczyk P. A Mathematical Introduction to Wavelets. London Math. Soc. Student Texts vol. 37 (1997), Cambridge Univ. Press
    • (1997) London Math. Soc. Student Texts , vol.37
    • Wojtaszczyk, P.1
  • 6
    • 0031571549 scopus 로고    scopus 로고
    • d ): The analysis of the analysis operator
    • d ): The analysis of the analysis operator. J. Func. Anal. 148 (1997) 408-447
    • (1997) J. Func. Anal. , vol.148 , pp. 408-447
    • Ron, A.1    Shen, Z.2
  • 8
    • 33646105109 scopus 로고    scopus 로고
    • s ), Preprint, 1997
  • 9
    • 0011461344 scopus 로고    scopus 로고
    • Multivariate compactly supported fundamental refinable functions, dual and biorthogonal wavelets
    • Ji H., Riemenschneider S.D., and Shen Z. Multivariate compactly supported fundamental refinable functions, dual and biorthogonal wavelets. Stud. Appl. Math. 102 (1999) 173-204
    • (1999) Stud. Appl. Math. , vol.102 , pp. 173-204
    • Ji, H.1    Riemenschneider, S.D.2    Shen, Z.3
  • 10
    • 0000786768 scopus 로고
    • The structure of the special linear group over rings of polynomials
    • (in Russian)
    • Suslin A. The structure of the special linear group over rings of polynomials. Izv. Akad. Nauk SSSR Ser. Mat. 41 2 (1977) 235-252 (in Russian)
    • (1977) Izv. Akad. Nauk SSSR Ser. Mat. , vol.41 , Issue.2 , pp. 235-252
    • Suslin, A.1
  • 11
    • 0000043776 scopus 로고    scopus 로고
    • Optimal interpolatory subdivision schemes in multidimensional spaces
    • Han B., and Jia R.Q. Optimal interpolatory subdivision schemes in multidimensional spaces. SIAM J. Numer. Anal. 36 (1999) 105-124
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 105-124
    • Han, B.1    Jia, R.Q.2
  • 12
    • 31244436552 scopus 로고    scopus 로고
    • Symmetry property and construction of wavelets with a general dilation matrix
    • Han B. Symmetry property and construction of wavelets with a general dilation matrix. Linear Algebra Appl. 35 (2002) 207-225
    • (2002) Linear Algebra Appl. , vol.35 , pp. 207-225
    • Han, B.1
  • 13
    • 33646090564 scopus 로고    scopus 로고
    • Construction of multivariate biorthogonal wavelets by CBC algorithm
    • Wavelet Analysis and Multiresolution Methods. He T.-X. (Ed). Urbana-Champaign, IL, 1999
    • Han B. Construction of multivariate biorthogonal wavelets by CBC algorithm. In: He T.-X. (Ed). Wavelet Analysis and Multiresolution Methods. Urbana-Champaign, IL, 1999. Lecture Notes in Pure and Appl. Math. vol. 212 (2000) 105-143
    • (2000) Lecture Notes in Pure and Appl. Math. , vol.212 , pp. 105-143
    • Han, B.1
  • 14
    • 23044518620 scopus 로고    scopus 로고
    • Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
    • Chen Di.-R., Han H., and Riemenschneider S.D. Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments. Adv. Comput. Math. 13 2 (2000) 131-165
    • (2000) Adv. Comput. Math. , vol.13 , Issue.2 , pp. 131-165
    • Chen, Di.-R.1    Han, H.2    Riemenschneider, S.D.3
  • 15
    • 4344676429 scopus 로고    scopus 로고
    • Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor
    • Petukhov A. Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor. Appl. Comput. Harmon. Anal. 17 (2004) 198-210
    • (2004) Appl. Comput. Harmon. Anal. , vol.17 , pp. 198-210
    • Petukhov, A.1
  • 16
    • 33646107823 scopus 로고    scopus 로고
    • Biorthogonality of scaling functions in several variables
    • St. Petersburg Univ. Press (in Russian)
    • Maximenko I.E. Biorthogonality of scaling functions in several variables. Contemporary Problems of Approximation Theory (2004), St. Petersburg Univ. Press 132-145 (in Russian)
    • (2004) Contemporary Problems of Approximation Theory , pp. 132-145
    • Maximenko, I.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.