{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:26:05Z","timestamp":1725542765704},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642106484"},{"type":"electronic","value":"9783642106491"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-10649-1_9","type":"book-chapter","created":{"date-parts":[[2009,12,18]],"date-time":"2009-12-18T10:20:51Z","timestamp":1261131651000},"page":"143-162","source":"Crossref","is-referenced-by-count":3,"title":["Wavelet Based Approach to Fractals and Fractal Signal Denoising"],"prefix":"10.1007","author":[{"given":"Carlo","family":"Cattani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"9_CR1","unstructured":"Abry, P., Goncalves, P., L\u00e9vy-V\u00e9hel, J.: Lois d\u2019\u00e9schelle, Fractales et ondelettes, Hermes (2002)"},{"key":"9_CR2","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/S1063-5203(03)00047-2","volume":"15","author":"P. Borgnat","year":"2003","unstructured":"Borgnat, P., Flandrin, P.: On the chirp decomposition of Weierstrass-Mandelbrot functions, and their time-frequency interpretation. Applied and Computational Harmonic Analysis\u00a015, 134\u2013146 (2003)","journal-title":"Applied and Computational Harmonic Analysis"},{"volume-title":"Fractals in Science","year":"1995","key":"9_CR3","unstructured":"Bunde, A., Havlin, S. (eds.): Fractals in Science. Springer, Berlin (1995)"},{"issue":"8-9","key":"9_CR4","doi-asserted-by":"publisher","first-page":"1191","DOI":"10.1016\/j.camwa.2005.07.001","volume":"50","author":"C. Cattani","year":"2005","unstructured":"Cattani, C.: Harmonic Wavelets towards Solution of Nonlinear PDE. Computers and Mathematics with Applications\u00a050(8-9), 1191\u20131210 (2005)","journal-title":"Computers and Mathematics with Applications"},{"key":"9_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3846\/13926292.2006.9637307","volume":"11","author":"C. Cattani","year":"2006","unstructured":"Cattani, C.: Connection Coefficients of Shannon Wavelets. Mathematical Modelling and Analysis\u00a011, 1\u201316 (2006)","journal-title":"Mathematical Modelling and Analysis"},{"key":"9_CR6","series-title":"Series on Advances in Mathematics for Applied Sciences","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1142\/6497","volume-title":"Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure","author":"C. Cattani","year":"2007","unstructured":"Cattani, C., Rushchitsky, J.J.: Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure. Series on Advances in Mathematics for Applied Sciences, p. 74. World Scientific, Singapore (2007)"},{"key":"9_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1202","DOI":"10.1007\/978-3-540-69839-5_92","volume-title":"Computational Science and Its Applications \u2013 ICCSA 2008","author":"C. Cattani","year":"2008","unstructured":"Cattani, C.: Wavelet extraction of a pulse from a periodic signal. In: Gervasi, O., Murgante, B., Lagan\u00e0, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) ICCSA 2008, Part I. LNCS, vol.\u00a05072, pp. 1202\u20131211. Springer, Heidelberg (2008)"},{"key":"9_CR8","first-page":"24","volume":"2008","author":"C. Cattani","year":"2008","unstructured":"Cattani, C.: Shannon Wavelets Theory. Mathematical Problems in Engineering\u00a02008, Article ID 164808, 24 pages (2008)","journal-title":"Mathematical Problems in Engineering"},{"key":"9_CR9","doi-asserted-by":"crossref","unstructured":"Cattani, C.: Harmonic Wavelet Approximation of Random, Fractal and High Frequency Signals. To appear on Telecommunication Systems (2009)","DOI":"10.1007\/s11235-009-9208-3"},{"key":"9_CR10","unstructured":"Cattani, C.: Harmonic Wavelet Analysis of a Localized Fractal. International Journal of Engineering and Interdisciplinary Mathematics (to appear, 2009)"},{"key":"9_CR11","volume-title":"An Introduction to Wavelets","author":"C.K. Chui","year":"1992","unstructured":"Chui, C.K.: An Introduction to Wavelets. Academic Press, New York (1992)"},{"key":"9_CR12","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on wavelets","author":"I. Daubechies","year":"1992","unstructured":"Daubechies, I.: Ten Lectures on wavelets. SIAM, Philadelphia (1992)"},{"key":"9_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.exmath.2005.05.002","volume":"24","author":"O. Dovgoshey","year":"2006","unstructured":"Dovgoshey, O., Martio, O., Ryazanov, V., Vuorinen, M.: The Cantor Function. Expositiones Mathematicae\u00a024, 1\u201337 (2006)","journal-title":"Expositiones Mathematicae"},{"issue":"1","key":"9_CR14","doi-asserted-by":"crossref","first-page":"131","DOI":"10.4171\/RMI\/452","volume":"22","author":"D.E. Dutkay","year":"2006","unstructured":"Dutkay, D.E., Jorgensen, P.E.T.: Wavelets on Fractals. Rev. Mat. Iberoamericana\u00a022(1), 131\u2013180 (2006)","journal-title":"Rev. Mat. Iberoamericana"},{"key":"9_CR15","volume-title":"Fractal Geometry","author":"K. Falconer","year":"1977","unstructured":"Falconer, K.: Fractal Geometry. John Wiley, New York (1977)"},{"key":"9_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2124-6","volume-title":"Fractals","author":"J. Feder","year":"1988","unstructured":"Feder, J.: Fractals. Pergamon, New York (1988)"},{"key":"9_CR17","volume-title":"A Wavelet tour of signal processing","author":"S. Mallat","year":"1998","unstructured":"Mallat, S.: A Wavelet tour of signal processing. Academic Press, London (1998)"},{"key":"9_CR18","doi-asserted-by":"publisher","first-page":"352","DOI":"10.1016\/S0375-9601(97)00639-7","volume":"235","author":"S.V. Muniandy","year":"1997","unstructured":"Muniandy, S.V., Moroz, I.M.: Galerkin modelling of the Burgers equation using harmonic wavelets. Phys.Lett. A\u00a0235, 352\u2013356 (1997)","journal-title":"Phys.Lett. A"},{"key":"9_CR19","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1098\/rspa.1993.0140","volume":"443","author":"D.E. Newland","year":"1993","unstructured":"Newland, D.E.: Harmonic wavelet analysis. Proc. R. Soc. Lond. A\u00a0443, 203\u2013222 (1993)","journal-title":"Proc. R. Soc. Lond. A"},{"key":"9_CR20","doi-asserted-by":"crossref","DOI":"10.1142\/0511","volume-title":"Fractal Growth Phenomenon","author":"T. Vicsek","year":"1989","unstructured":"Vicsek, T.: Fractal Growth Phenomenon. Word Scientific, Singapore (1989)"},{"key":"#cr-split#-9_CR21.1","unstructured":"Weierstrass, K.: \u00dcber continuirliche Functionen eines reelles Arguments, die f\u00fcr keinen Werth des letzteren einen Bestimmten Differentialquotienten besitzen, K\u00f6nig, Akad. der Wissenschaften, Berlin, July 18 (1872);"},{"key":"#cr-split#-9_CR21.2","unstructured":"Reprinted in: K. Weierstrass, Mathematische Werke II, pp. 71\u201374. Johnson, New York (1967)"},{"key":"9_CR22","volume-title":"Signal Processing with Fractals: A Wavelet-Based Approach","author":"G. Wornell","year":"1996","unstructured":"Wornell, G.: Signal Processing with Fractals: A Wavelet-Based Approach. Prentice Hall, Englewood Cliffs (1996)"}],"container-title":["Lecture Notes in Computer Science","Transactions on Computational Science VI"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-10649-1_9.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T02:32:51Z","timestamp":1606185171000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-10649-1_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642106484","9783642106491"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-10649-1_9","relation":{},"ISSN":["0302-9743","1866-4741"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1866-4741"}],"subject":[],"published":{"date-parts":[[2009]]}}}