{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T13:24:30Z","timestamp":1743081870729,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":75,"publisher":"Springer New York","isbn-type":[{"type":"print","value":"9781493907892"},{"type":"electronic","value":"9781493907908"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-1-4939-0790-8_28","type":"book-chapter","created":{"date-parts":[[2015,5,29]],"date-time":"2015-05-29T16:38:04Z","timestamp":1432917484000},"page":"1675-1716","source":"Crossref","is-referenced-by-count":0,"title":["Splines and Multiresolution Analysis"],"prefix":"10.1007","author":[{"given":"Brigitte","family":"Forster","sequence":"first","affiliation":[]}],"member":"297","reference":[{"volume-title":"Wavelets in Medicine and Biology","year":"1996","key":"28_CR1","unstructured":"Aldroubi, A., Unser, M.A. (eds.): Wavelets in Medicine and Biology. CRC, Boca Raton (1996)"},{"issue":"4","key":"28_CR2","first-page":"118","volume":"4","author":"R Baraniuk","year":"2007","unstructured":"Baraniuk, R.: Compressive Sensing. IEEE Signal Process. Mag. 4(4), 118\u2013120, 124 (2007)","journal-title":"Mag."},{"key":"28_CR3","volume-title":"An Introduction to Splines for Use in Computer Graphics and Geometric Modeling","author":"RH Bartels","year":"1995","unstructured":"Bartels, R.H., Bealty, J.C., Beatty, J.C.: An Introduction to Splines for Use in Computer Graphics and Geometric Modeling. Morgan Kaufman, Los Altos (1995)"},{"key":"28_CR4","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1007\/BF01205550","volume":"110","author":"G Battle","year":"1987","unstructured":"Battle, G.: A block spin construction of ondelettes. Part 1: Lemari\u00e9 functions. Commun. Math. Phys. 110, 601\u2013615 (1987)","journal-title":"Commun. Math. Phys."},{"key":"28_CR5","first-page":"512","volume-title":"The fractional spline wavelet transform: definition and implementation","author":"T Blu","year":"2000","unstructured":"Blu, T., Unser, M.: The fractional spline wavelet transform: definition and implementation. In: Proceedings of the 25th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP\u201900), Istanbul, 5\u20139 June 2000, vol.\u00a01, pp.\u00a0512\u2013515 (2000)"},{"key":"28_CR6","first-page":"421","volume-title":"A complete family of scaling functions: the (\u03b1, \u03c4)-fractional splines","author":"T Blu","year":"2003","unstructured":"Blu, T., Unser, M.: A complete family of scaling functions: the (\u03b1, \u03c4)-fractional splines. In: Proceedings of the 28th International Conference on Acoustics, Speech, and Signal Processing (ICASSP\u201903), Hong Kong SAR, 6\u201310 Apr 2003, vol.\u00a06, pp.\u00a0421\u2013424 (2003)"},{"key":"28_CR7","series-title":"Cambridge Monographs on Applied and Computational Mathematics","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511543241","volume-title":"Radial Basis Functions: Theory and Implementations","author":"MD Buhmann","year":"2003","unstructured":"Buhmann, M.D.: Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press, Cambridge (2003)"},{"issue":"4","key":"28_CR8","doi-asserted-by":"publisher","first-page":"532","DOI":"10.1109\/TCOM.1983.1095851","volume":"31","author":"PJ Burt","year":"1983","unstructured":"Burt, P.J., Adelson, E.H.: The Laplacian pyramid as a compact image code. IEEE Trans. Commun. 31(4), 532\u2013540 (1983)","journal-title":"IEEE Trans. Commun."},{"issue":"2","key":"28_CR9","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1109\/MSP.2007.914731","volume":"25","author":"EJ Cand\u00e8s","year":"2008","unstructured":"Cand\u00e8s, E.J., Wakin, M.B.: An introduction to compressive sampling. IEEE Signal Process. Mag. 25(2), 21\u201330 (2008)","journal-title":"IEEE Signal Process. Mag."},{"key":"28_CR10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139171823","volume-title":"A Handbook of Fourier Theorems","author":"DC Champeney","year":"1987","unstructured":"Champeney, D.C.: A Handbook of Fourier Theorems. Cambridge University Press, Cambridge (1987)"},{"key":"28_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-4251-9","volume-title":"Complex Harmonic Splines, Periodic Quasi-wavelets, Theory and Applications","author":"H-l Chen","year":"2000","unstructured":"Chen, H.-l.: Complex Harmonic Splines, Periodic Quasi-wavelets, Theory and Applications. Kluwer Academic, Dordrecht (2000)"},{"key":"28_CR12","first-page":"334","volume-title":"Compressed sensing metal artifact removal in dental CT","author":"JY Choi","year":"2009","unstructured":"Choi, J.Y., Kim, M.W., Seong, W., Ye, J.C.: Compressed sensing metal artifact removal in dental CT. In: Proceedings of IEEE International Symposium on Biomedical Imaging (ISBI), 28 June\u20131 July 2009, Boston, pp.\u00a0334\u2013337 (2009)"},{"key":"28_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-8224-8","volume-title":"An Introduction to Frames and Riesz Bases","author":"O Christensen","year":"2003","unstructured":"Christensen, O.: An Introduction to Frames and Riesz Bases. Birkh\u00e4user, Boston (2003)"},{"key":"28_CR14","series-title":"Applied and Numerical Harmonic Analysis","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4678-3","volume-title":"Frames and Bases: An Introductory Course","author":"O Christensen","year":"2008","unstructured":"Christensen, O.: Frames and Bases: An Introductory Course. Applied and Numerical Harmonic Analysis. Birkh\u00e4user, Boston (2008)"},{"key":"28_CR15","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970173","volume-title":"Multivariate Splines","author":"CK Chui","year":"1988","unstructured":"Chui, C.K.: Multivariate Splines. Society for Industrial and Applied Mathematics, Philadelphia (1988)"},{"key":"28_CR16","volume-title":"Wavelets\u2014a Tutorial in Theory and Practice","author":"C Chui","year":"1992","unstructured":"Chui, C.: Wavelets\u2014a Tutorial in Theory and Practice. Academic, San Diego (1992)"},{"volume-title":"Wavelets: A Tutorial in Theory and Applications","year":"1992","key":"28_CR17","unstructured":"Chui, C.K. (ed.): Wavelets: A Tutorial in Theory and Applications. Academic, Boston (1992)"},{"key":"28_CR18","unstructured":"Condat, L.: Image database. Online resource. http:\/\/www.greyc.ensicaen.fr\/_lcondat\/imagebase.html (2010). (Version of 22 Apr 2010)"},{"key":"28_CR19","volume-title":"A new family of rotation-covariant wavelets on the hexagonal lattice","author":"L Condat","year":"2007","unstructured":"Condat, L., Forster-Heinlein, B., Van De Ville, D.: A new family of rotation-covariant wavelets on the hexagonal lattice. In: SPIE Wavelets XII, San Diego, Aug 2007"},{"volume-title":"Multiscale Wavelet Methods for Partial Differential Equations. Volume 6 of Wavelet Analysis and Its Applications","year":"1997","key":"28_CR20","unstructured":"Dahmen, W., Kurdila, A., Oswald, P. (eds.): Multiscale Wavelet Methods for Partial Differential Equations. Volume 6 of Wavelet Analysis and Its Applications. Academic, San Diego (1997)"},{"key":"28_CR21","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on Wavelets","author":"I Daubechies","year":"1992","unstructured":"Daubechies, I.: Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, Philadelphia (1992)"},{"key":"28_CR22","volume-title":"Box Splines. Volume 98 of Applied Mathematical Sciences","author":"C de Boor","year":"1993","unstructured":"de Boor, C., H\u00f6llig, K., Riemenschneider, S.: Box Splines. Volume 98 of Applied Mathematical Sciences. Springer, New York (1993)"},{"issue":"2","key":"28_CR23","first-page":"787","volume":"341","author":"C de Boor","year":"1994","unstructured":"de Boor, C., Devore, R.A., Ron, A.: Approximation from shift invariant subspaces of $${\\mathrm{L}}_{2}({\\mathrm{R}}^{{\\mathrm{d}}})$$. Trans. Am. Math. Soc. 341(2), 787\u2013806 (1994)","journal-title":"Trans. Am. Math. Soc."},{"key":"28_CR24","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534419.001.0001","volume-title":"Curve and Surface Fitting with Splines","author":"P Dierckx","year":"1993","unstructured":"Dierckx, P.: Curve and Surface Fitting with Splines. McGraw-Hill, New York (1993)"},{"issue":"4","key":"28_CR25","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1109\/TIP.2005.843754","volume":"4","author":"M Feilner","year":"2005","unstructured":"Feilner, M., Van De Ville, D., Unser, M.: An orthogonal family of quincunx wavelets with continuously adjustable order. IEEE Trans. Image Process. 4(4), 499\u2013510 (2005)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"28_CR26","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/s00365-008-9019-x","volume":"29","author":"B Forster","year":"2009","unstructured":"Forster, B., Massopust, P.: Statistical encounters with complex B-splines. Constr. Approx. 29(3), 325\u2013344 (2009)","journal-title":"Constr. Approx."},{"issue":"2","key":"28_CR27","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1016\/j.acha.2005.07.003","volume":"20","author":"B Forster","year":"2006","unstructured":"Forster, B., Blu, T., Unser, M.: Complex B-splines. Appl. Comput. Harmon. Anal. 20(2), 261\u2013282 (2006)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"28_CR28","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1016\/j.acha.2007.11.002","volume":"25","author":"B Forster","year":"2008","unstructured":"Forster, B., Blu, T., Van De Ville, D., Unser, M.: Shiftinvariant spaces from rotation-covariant functions. Appl. Comput. Harmon. Anal. 25(2), 240\u2013265 (2008)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"28_CR29","doi-asserted-by":"publisher","DOI":"10.1109\/ISBI.2010.5490113","volume-title":"A new framework for sparse regularization in limited angle x-ray tomography","author":"J Frikel","year":"2010","unstructured":"Frikel, J.: A new framework for sparse regularization in limited angle x-ray tomography. In: IEEE International Symposium on Biomedical Imaging, Rotterdam (2010)"},{"issue":"5","key":"28_CR30","doi-asserted-by":"publisher","first-page":"3815","DOI":"10.1109\/20.104933","volume":"7","author":"RC Giles","year":"1991","unstructured":"Giles, R.C., Kotiuga, P.R., Mansuripur, M.: Parallel micromagnetic simulations using Fourier methods on a regular hexagonal lattice. IEEE Trans. Magn. 7(5), 3815\u20133818 (1991)","journal-title":"IEEE Trans. Magn."},{"issue":"6","key":"28_CR31","doi-asserted-by":"publisher","first-page":"1438","DOI":"10.1109\/TSP.2002.1003067","volume":"50","author":"AM Grigoryan","year":"2002","unstructured":"Grigoryan, A.M.: Efficient algorithms for computing the 2-D hexagonal Fourier transforms. IEEE Trans Signal Process. 50(6), 1438\u20131448 (2002)","journal-title":"IEEE Trans Signal Process."},{"key":"28_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s004540010071","volume":"25","author":"TC Hales","year":"2001","unstructured":"Hales, T.C.: The honeycomb conjecture. Discret. Comput. Geom. 25, 1\u201322 (2001)","journal-title":"Discret. Comput. Geom."},{"key":"28_CR33","volume-title":"Fundamental Papers in Wavelet Theory","author":"C Heil","year":"2006","unstructured":"Heil, C., Walnut, D.F.: Fundamental Papers in Wavelet Theory, New edn. Princeton University Press, Princeton (2006)"},{"key":"28_CR34","volume-title":"Generalised Functions","author":"DS Jones","year":"1966","unstructured":"Jones, D.S.: Generalised Functions. McGraw-Hill, London (1966)"},{"key":"28_CR35","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511721588","volume-title":"Spline Functions on Triangulations","author":"M-J Lai","year":"2007","unstructured":"Lai, M.-J., Schumaker, L.L.: Spline Functions on Triangulations. Cambridge University Press, Cambridge (2007)"},{"issue":"4","key":"28_CR36","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1109\/42.363095","volume":"13","author":"AF Laine","year":"1994","unstructured":"Laine, A.F., Schuler, S., Fan, J., Huda, W.: Mammographic feature enhancement by multiscale analysis. IEEE Trans. Med. Imaging 13(4), 725\u2013740 (1994)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"28_CR37","volume-title":"Scaling, Fractals and Wavelets, chap. 11","author":"P Legrand","year":"2009","unstructured":"Legrand, P.: Local regularity and multifractal methods for image and signal analysis. In: Abry, P., Gon\u00e7alves, P., V\u00e9hel, L. (eds.) Scaling, Fractals and Wavelets, chap. 11. Wiley-ISTE, London (2009)"},{"key":"28_CR38","first-page":"227","volume":"67","author":"P-G Lemari\u00e9","year":"1988","unstructured":"Lemari\u00e9, P.-G.: Ondelettes a localisation exponentielle. J. Math. Pures Appl. 67, 227\u2013236 (1988)","journal-title":"J. Math. Pures Appl."},{"issue":"4","key":"28_CR39","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1109\/TMI.2008.2007825","volume":"28","author":"F Lesage","year":"2009","unstructured":"Lesage, F., Provost, J.: The application of compressed sensing for photo-acoustic tomography. IEEE Trans. Med. Imaging 28(4), 585\u2013594 (2009)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"28_CR40","first-page":"273","volume":"6","author":"PR Lipow","year":"1973","unstructured":"Lipow, P.R., Schoenberg, I.J.: Cardinal interpolation and spline functions. III: Cardinal hermite interpolation. Linear Algebra Appl. 6, 273\u2013304 (1973)","journal-title":"III: Cardinal hermite interpolation. Linear Algebra Appl."},{"key":"28_CR41","volume-title":"Wavelets: Theory and Applications","author":"AK Louis","year":"1997","unstructured":"Louis, A.K., Maa\u00df, P., Rieder, A.: Wavelets: Theory and Applications. Wiley, New York (1997)"},{"issue":"6","key":"28_CR42","doi-asserted-by":"publisher","first-page":"1182","DOI":"10.1002\/mrm.21391","volume":"58","author":"M Lustig","year":"2007","unstructured":"Lustig, M., Donoho, D., Pauly, J.M.: Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn. Reson. Med. 58(6), 1182\u20131195 (2007)","journal-title":"Magn. Reson. Med."},{"key":"28_CR43","first-page":"69","volume":"315","author":"S Mallat","year":"1989","unstructured":"Mallat, S.: Multiresolution approximations and wavelet orthonormal bases of L2(R). Trans. Am. Math. Soc. 315, 69\u201387 (1989)","journal-title":"Trans. Am. Math. Soc."},{"key":"28_CR44","volume-title":"A Wavelet Tour of Signal Processing","author":"SG Mallat","year":"1998","unstructured":"Mallat, S.G.: A Wavelet Tour of Signal Processing. Academic, San Diego (1998)"},{"issue":"6","key":"28_CR45","doi-asserted-by":"publisher","first-page":"930","DOI":"10.1109\/PROC.1979.11356","volume":"67","author":"RM Mersereau","year":"1979","unstructured":"Mersereau, R.M.: The processing of hexagonally sampled two-dimensional signals. Proc. IEEE 67(6), 930\u2013949 (1979)","journal-title":"Proc. IEEE"},{"key":"28_CR46","volume-title":"Wavelets and Operators","author":"Y Meyer","year":"1992","unstructured":"Meyer, Y.: Wavelets and Operators. Cambridge University Press, Cambridge (1992)"},{"key":"28_CR47","series-title":"Advances in Pattern Recognition","volume-title":"Hexagonal Image Processing: A Practical Approach","author":"L Middleton","year":"2005","unstructured":"Middleton, L., Sivaswamy, J.: Hexagonal Image Processing: A Practical Approach. Advances in Pattern Recognition. Springer, Berlin (2005)"},{"key":"28_CR48","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1117\/12.325767","volume":"3522","author":"F Nicolier","year":"1998","unstructured":"Nicolier, F., Laligant, O., Truchetet, F.: B-spline quincunx wavelet transforms and implementation in Fourier domain. Proc. SPIE 3522, 223\u2013234 (1998)","journal-title":"Proc. SPIE"},{"key":"28_CR49","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1117\/1.1479701","volume":"11","author":"F Nicolier","year":"2002","unstructured":"Nicolier, F., Laligant, O., Truchetet, F.: Discrete wavelet transform implementation in Fourier domain for multidimensional signal. J. Electron. Imaging 11, 338\u2013346 (2002)","journal-title":"J. Electron. Imaging"},{"key":"28_CR50","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61342-5","volume-title":"Approximation by Spline Functions","author":"G N\u00fcrnberger","year":"1989","unstructured":"N\u00fcrnberger, G.: Approximation by Spline Functions. Springer, Berlin (1989)"},{"key":"28_CR51","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/acha.1995.1001","volume":"2","author":"G Plonka","year":"1995","unstructured":"Plonka, G., Tasche, M.: On the computation of periodic spline wavelets. Appl. Comput. Harmon. Anal. 2, 1\u201314 (1995)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"6","key":"28_CR52","doi-asserted-by":"publisher","first-page":"1506","DOI":"10.1109\/TIP.2007.896626","volume":"16","author":"M P\u00fcschel","year":"2007","unstructured":"P\u00fcschel, M., R\u00f6tteler, M.: Algebraic signal processing theory: 2D spatial hexagonal lattice. IEEE Trans. Image Proc. 16(6), 1506\u20131521 (2007)","journal-title":"IEEE Trans. Image Proc."},{"key":"28_CR53","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF02142205","volume":"2","author":"C Rabut","year":"1992","unstructured":"Rabut, C.: Elementary m-harmonic cardinal B-splines. Numer. Algorithms 2, 39\u201362 (1992)","journal-title":"Numer. Algorithms"},{"key":"28_CR54","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/BF02142206","volume":"2","author":"C Rabut","year":"1992","unstructured":"Rabut, C.: High level m-harmonic cardinal B-splines. Numer. Algorithms 2, 63\u201384 (1992)","journal-title":"Numer. Algorithms"},{"key":"28_CR55","unstructured":"Rice University: Compressive sensing resources. Online resource. http:\/\/dsp.rice.edu\/cs (2010). (Version of 30 Apr 2010)"},{"key":"28_CR56","series-title":"International Series in Pure and Applied Mathematics","volume-title":"Functional Analysis","author":"W Rudin","year":"1991","unstructured":"Rudin, W.: Functional Analysis. International Series in Pure and Applied Mathematics. McGraw-Hill, New York (1991)"},{"key":"28_CR57","first-page":"227","volume":"319","author":"P Sablonni\u00e8re","year":"1994","unstructured":"Sablonni\u00e8re, P., Sbibih, D.: B-splines with hexagonal support on a uniform three-direction mesh of the plane. C. R. Acad. Sci. Paris S\u00e9r. I 319, 227\u2013282 (1994)","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I"},{"key":"28_CR58","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/007","volume-title":"Complex Contour Integral Representation of Cardinal Spline Functions. Volume\u00a07 of Contemporary Mathematics. American Mathematical Society, Providence","author":"W Schempp","year":"1982","unstructured":"Schempp, W.: Complex Contour Integral Representation of Cardinal Spline Functions. Volume\u00a07 of Contemporary Mathematics. American Mathematical Society, Providence (1982)"},{"key":"28_CR59","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1090\/qam\/16705","volume":"4","author":"IJ Schoenberg","year":"1946","unstructured":"Schoenberg, I.J.: Contributions to the problem of approximation of equidistant data by analytic functions. Part A \u2013 on the problem of osculatory interpolation. A second class of analytic approximation formulae. Q. Appl. Math. 4, 112\u2013141 (1946)","journal-title":"Q. Appl. Math."},{"key":"28_CR60","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1090\/qam\/15914","volume":"4","author":"IJ Schoenberg","year":"1946","unstructured":"Schoenberg, I.J.: Contributions to the problem of approximation of equidistant data by analytic functions. Part A \u2013 on the problem of smoothing or graduation. A first class of analytic approximation formulae. Q. Appl. Math. 4, 45\u201399 (1946)","journal-title":"Q. Appl. Math."},{"key":"28_CR61","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/0021-9045(69)90040-9","volume":"2","author":"IJ Schoenberg","year":"1969","unstructured":"Schoenberg, I.J.: Cardinal interpolation and spline functions. J. Approx. Theory 2, 167\u2013206 (1969)","journal-title":"J. Approx. Theory"},{"key":"28_CR62","first-page":"404","volume":"6","author":"IJ Schoenberg","year":"1972","unstructured":"Schoenberg, I.J.: Cardinal interpolation and spline functions. II: interpolation of data of power growth. J. Approx. Theory 6, 404\u2013420 (1972)","journal-title":"II: interpolation of data of power growth. J. Approx. Theory"},{"key":"28_CR63","volume-title":"Th\u00e9orie des distributions","author":"L Schwartz","year":"1998","unstructured":"Schwartz, L.: Th\u00e9orie des distributions. Hermann, Paris (1998)"},{"key":"28_CR64","first-page":"225","volume-title":"Progress in Biomedical Optics and Imaging, vol. 3, no. 22, vol. 4684, Part I of Proceedings of the SPIE International Symposium on Medical Imaging","author":"M Unser","year":"2002","unstructured":"Unser, M.: Splines: a perfect fit for medical imaging. In: Sonka, M., Fitzpatrick, J.M. (eds.) Progress in Biomedical Optics and Imaging, vol. 3, no. 22, vol. 4684, Part I of Proceedings of the SPIE International Symposium on Medical Imaging: Image Processing (MI\u201902), San Diego, 24\u201328 Feb 2002, pp.\u00a0225\u2013236"},{"issue":"1","key":"28_CR65","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1137\/S0036144598349435","volume":"42","author":"M Unser","year":"2000","unstructured":"Unser, M., Blu, T.: Fractional splines and wavelets. SIAM Rev. 42(1), 43\u201367 (2000)","journal-title":"SIAM Rev."},{"issue":"3","key":"28_CR66","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1109\/34.75515","volume":"13","author":"M Unser","year":"1991","unstructured":"Unser, M., Aldroubi, A., Eden, M.: Fast B-spline transforms for continuous image representation and interpolation. IEEE Trans. Pattern Anal. Mach. Intell. 13(3), 277\u2013285 (1991)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"28_CR67","doi-asserted-by":"publisher","first-page":"864","DOI":"10.1109\/18.119742","volume":"38","author":"M Unser","year":"1992","unstructured":"Unser, M., Aldroubi, A., Eden, M.: On the asymptotic convergence of B-spline wavelets to Gabor functions. IEEE Trans. Inf. Theory 38, 864\u2013872 (1992)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"28_CR68","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1109\/78.193220","volume":"41","author":"M Unser","year":"1993","unstructured":"Unser, M., Aldroubi, A., Eden, M.: B-spline signal processing: part I\u2014Theory. IEEE Trans. Signal Process. 41(2), 821\u2013833 (1993)","journal-title":"IEEE Trans. Signal Process."},{"issue":"2","key":"28_CR69","doi-asserted-by":"publisher","first-page":"834","DOI":"10.1109\/78.193221","volume":"41","author":"M Unser","year":"1993","unstructured":"Unser, M., Aldroubi, A., Eden, M.: B-spline signal processing: part II\u2014Efficient design and applications. IEEE Trans. Signal Process. 41(2), 834\u2013848 (1993)","journal-title":"IEEE Trans. Signal Process."},{"issue":"6","key":"28_CR70","doi-asserted-by":"publisher","first-page":"758","DOI":"10.1109\/TIP.2004.827231","volume":"13","author":"D Van De Ville","year":"2004","unstructured":"Van De Ville, D., Blu, T., Unser, M., Philips, W., Lemahieu, I., Van de Walle, R.: Hex-splines: a novel spline family for hexagonal lattices. IEEE Trans. Image Process. 13(6), 758\u2013772 (2004)","journal-title":"IEEE Trans. Image Process."},{"issue":"11","key":"28_CR71","doi-asserted-by":"publisher","first-page":"1798","DOI":"10.1109\/TIP.2005.857249","volume":"14","author":"D Van De Ville","year":"2005","unstructured":"Van De Ville, D., Blu, T., Unser, M.: Isotropic polyharmonic B-splines: scaling functions and wavelets. IEEE Trans. Image Process. 14(11), 1798\u20131813 (2005)","journal-title":"IEEE Trans. Image Process."},{"issue":"1","key":"28_CR72","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1109\/10.16453","volume":"36","author":"AB Watson","year":"1989","unstructured":"Watson, A.B., Ahumuda, A.J., Jr.: Hexagonal orthogonal-oriented pyramid as a model of image representation in visual cortex. IEEE Trans. Biomed. Eng. 36(1), 97\u2013106 (1989)","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"28_CR73","doi-asserted-by":"publisher","first-page":"1100","DOI":"10.1016\/j.sigpro.2008.12.015","volume":"89","author":"H Wendt","year":"2009","unstructured":"Wendt, H., Roux, S.G., Jaffard, S., Abry, P.: Wavelet leaders and bootstrap for multifractal analysis of images. Signal Process. 89, 1100\u20131114 (2009)","journal-title":"Signal Process."},{"key":"28_CR74","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623790","volume-title":"A Mathematical Introduction to Wavelets. Volume 37 of London Mathematical Society Student Texts","author":"P Wojtaszczyk","year":"1997","unstructured":"Wojtaszczyk, P.: A Mathematical Introduction to Wavelets. Volume 37 of London Mathematical Society Student Texts. Cambridge University Press, Cambridge (1997)"},{"key":"28_CR75","volume-title":"An Introduction to Nonharmonic Fourier Series","author":"R Young","year":"1980","unstructured":"Young, R.: An Introduction to Nonharmonic Fourier Series. Academic, New York (1980) (revised first edition 2001)"}],"container-title":["Handbook of Mathematical Methods in Imaging"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4939-0790-8_28","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,9]],"date-time":"2024-06-09T08:10:00Z","timestamp":1717920600000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4939-0790-8_28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9781493907892","9781493907908"],"references-count":75,"URL":"https:\/\/doi.org\/10.1007\/978-1-4939-0790-8_28","relation":{},"subject":[],"published":{"date-parts":[[2015]]}}}