{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T16:44:38Z","timestamp":1742921078336,"version":"3.40.3"},"publisher-location":"Cham","reference-count":53,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031319747"},{"type":"electronic","value":"9783031319754"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-31975-4_4","type":"book-chapter","created":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T23:30:02Z","timestamp":1683761402000},"page":"42-54","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Frame Decomposition of\u00a0the\u00a0Funk-Radon Transform"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6206-5705","authenticated-orcid":false,"given":"Michael","family":"Quellmalz","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1032-8774","authenticated-orcid":false,"given":"Lukas","family":"Weissinger","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8494-5188","authenticated-orcid":false,"given":"Simon","family":"Hubmer","sequence":"additional","affiliation":[]},{"given":"Paul D.","family":"Erchinger","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,10]]},"reference":[{"issue":"1","key":"4_CR1","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1093\/biomet\/85.1.115","volume":"85","author":"F Abramovich","year":"1998","unstructured":"Abramovich, F., Silverman, B.W.: Wavelet decomposition approaches to statistical inverse problems. Biometrika 85(1), 115\u2013129 (1998)","journal-title":"Biometrika"},{"key":"4_CR2","series-title":"Operator Theory: Advances and Applications","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/978-3-030-44651-2_7","volume-title":"Operator Algebras, Toeplitz Operators and Related Topics","author":"M Agranovsky","year":"2020","unstructured":"Agranovsky, M., Rubin, B.: Non-geodesic spherical funk transforms with one and two centers. In: Bauer, W., Duduchava, R., Grudsky, S., Kaashoek, M.A. (eds.) Operator Algebras, Toeplitz Operators and Related Topics. OTAA, vol. 279, pp. 29\u201352. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-44651-2_7"},{"key":"4_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25983-8","volume-title":"Spherical Harmonics and Approximations on the Unit Sphere: An Introduction","author":"K Atkinson","year":"2012","unstructured":"Atkinson, K., Han, W.: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-25983-8"},{"issue":"4","key":"4_CR4","doi-asserted-by":"publisher","first-page":"577","DOI":"10.4134\/JKMS.2003.40.4.577","volume":"40","author":"TN Bailey","year":"2003","unstructured":"Bailey, T.N., Eastwood, M.G., Gover, A., Mason, L.: Complex analysis and the Funk transform. J. Korean Math. Soc. 40(4), 577\u2013593 (2003)","journal-title":"J. Korean Math. Soc."},{"key":"4_CR5","doi-asserted-by":"publisher","unstructured":"Bellet, J.-B.: A discrete Funk transform on the cubed sphere. J. Comput. Appl. Math. 429, 115205 (2023). https:\/\/doi.org\/10.1016\/j.cam.2023.115205","DOI":"10.1016\/j.cam.2023.115205"},{"issue":"3","key":"4_CR6","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1214\/aos\/1028674842","volume":"30","author":"EJ Candes","year":"2002","unstructured":"Candes, E.J., Donoho, D.L.: Recovering edges in ill-posed inverse problems: optimality of curvelet frames. Ann. Stat. 30(3), 784\u2013842 (2002). https:\/\/doi.org\/10.1214\/aos\/1028674842","journal-title":"Ann. Stat."},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Christensen, O.: An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis, Birkh\u00e4user, Cham (2016)","DOI":"10.1007\/978-3-319-25613-9"},{"issue":"2","key":"4_CR8","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/j.acha.2009.10.005","volume":"29","author":"F Colonna","year":"2010","unstructured":"Colonna, F., Easley, G., Guo, K., Labate, D.: Radon transform inversion using the shearlet representation. Appl. Comput. Harmon. Anal. 29(2), 232\u2013250 (2010). https:\/\/doi.org\/10.1016\/j.acha.2009.10.005","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"4_CR9","doi-asserted-by":"publisher","unstructured":"Daubechies, I.: Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, Philadelphia (1992). https:\/\/doi.org\/10.1137\/1.9781611970104","DOI":"10.1137\/1.9781611970104"},{"issue":"3","key":"4_CR10","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1515\/jiip.1996.4.3.203","volume":"4","author":"V Dicken","year":"1996","unstructured":"Dicken, V., Maass, P.: Wavelet-Galerkin methods for ill-posed problems. J. Inverse Ill-Posed Probl. 4(3), 203\u2013221 (1996). https:\/\/doi.org\/10.1515\/jiip.1996.4.3.203","journal-title":"J. Inverse Ill-Posed Probl."},{"issue":"2","key":"4_CR11","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1006\/acha.1995.1008","volume":"2","author":"DL Donoho","year":"1995","unstructured":"Donoho, D.L.: Nonlinear solution of linear inverse problems by Wavelet-Vaguelette decomposition. Appl. Comput. Harmon. Anal. 2(2), 101\u2013126 (1995). https:\/\/doi.org\/10.1006\/acha.1995.1008","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"4_CR12","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1016\/j.acha.2022.08.005","volume":"62","author":"A Ebner","year":"2023","unstructured":"Ebner, A., Frikel, J., Lorenz, D., Schwab, J., Haltmeier, M.: Regularization of inverse problems by filtered diagonal frame decomposition. Appl. Comput. Harmon. Anal. 62, 66\u201383 (2023). https:\/\/doi.org\/10.1016\/j.acha.2022.08.005","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"4_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1740-8","volume-title":"Regularization of Inverse Problems","author":"HW Engl","year":"1996","unstructured":"Engl, H.W., Hanke, M., Neubauer, A.: Regularization of Inverse Problems. Kluwer Academic Publishers, Dordrecht (1996)"},{"issue":"1","key":"4_CR14","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.acha.2012.03.005","volume":"34","author":"J Frikel","year":"2013","unstructured":"Frikel, J.: Sparse regularization in limited angle tomography. Appl. Comput. Harmon. Anal. 34(1), 117\u2013141 (2013). https:\/\/doi.org\/10.1016\/j.acha.2012.03.005","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"4_CR15","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aaa0ac","volume":"34","author":"J Frikel","year":"2018","unstructured":"Frikel, J., Haltmeier, M.: Efficient regularization with wavelet sparsity constraints in photoacoustic tomography. Inverse Probl. 34(2), 024006 (2018). https:\/\/doi.org\/10.1088\/1361-6420\/aaa0ac","journal-title":"Inverse Probl."},{"key":"4_CR16","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1007\/978-3-030-47174-3_10","volume-title":"Mathematics of Wave Phenomena","author":"J Frikel","year":"2020","unstructured":"Frikel, J., Haltmeier, M.: Sparse regularization of inverse problems by operator-adapted frame thresholding. In: D\u00f6rfler, W., et al. (eds.) Mathematics of Wave Phenomena, pp. 163\u2013178. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-47174-3_10"},{"issue":"2","key":"4_CR17","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/BF01456044","volume":"74","author":"P Funk","year":"1913","unstructured":"Funk, P.: \u00dcber Fl\u00e4chen mit lauter geschlossenen geod\u00e4tischen Linien. Math. Ann. 74(2), 278\u2013300 (1913). https:\/\/doi.org\/10.1007\/BF01456044","journal-title":"Math. Ann."},{"key":"4_CR18","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107341029","volume-title":"Geometric Tomography","author":"RJ Gardner","year":"2006","unstructured":"Gardner, R.J.: Geometric Tomography, 2nd edn. Cambridge University Press, Cambridge (2006). https:\/\/doi.org\/10.1017\/CBO9781107341029","edition":"2"},{"key":"4_CR19","unstructured":"Gr\u00e4f, M.: Quadrature rules on manifolds. https:\/\/www.tu-chemnitz.de\/~potts\/workgroup\/graef\/quadrature"},{"key":"4_CR20","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1007\/s00211-011-0399-7","volume":"119","author":"M Gr\u00e4f","year":"2011","unstructured":"Gr\u00e4f, M., Potts, D.: On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms. Numer. Math. 119, 699\u2013724 (2011). https:\/\/doi.org\/10.1007\/s00211-011-0399-7","journal-title":"Numer. Math."},{"key":"4_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6055-9","volume-title":"Integral Geometry and Radon Transforms","author":"S Helgason","year":"2011","unstructured":"Helgason, S.: Integral Geometry and Radon Transforms. Springer, New York (2011). https:\/\/doi.org\/10.1007\/978-1-4419-6055-9"},{"key":"4_CR22","series-title":"Trends in Mathematics","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/978-3-319-70824-9_7","volume-title":"New Trends in Parameter Identification for Mathematical Models","author":"R Hielscher","year":"2018","unstructured":"Hielscher, R., Potts, D., Quellmalz, M.: An SVD in spherical surface wave tomography. In: Hofmann, B., Leit\u00e3o, A., Zubelli, J.P. (eds.) New Trends in Parameter Identification for Mathematical Models. TM, pp. 121\u2013144. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-70824-9_7"},{"issue":"8","key":"4_CR23","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/31\/8\/085001","volume":"31","author":"R Hielscher","year":"2015","unstructured":"Hielscher, R., Quellmalz, M.: Optimal mollifiers for spherical deconvolution. Inverse Probl. 31(8), 085001 (2015). https:\/\/doi.org\/10.1088\/0266-5611\/31\/8\/085001","journal-title":"Inverse Probl."},{"issue":"6","key":"4_CR24","doi-asserted-by":"publisher","first-page":"974","DOI":"10.1080\/17415977.2015.1088537","volume":"24","author":"Y Hristova","year":"2016","unstructured":"Hristova, Y., Moon, S., Steinhauer, D.: A Radon-type transform arising in photoacoustic tomography with circular detectors: spherical geometry. Inverse Probl. Sci. Eng. 24(6), 974\u2013989 (2016). https:\/\/doi.org\/10.1080\/17415977.2015.1088537","journal-title":"Inverse Probl. Sci. Eng."},{"issue":"9","key":"4_CR25","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aba4fe","volume":"36","author":"S Hubmer","year":"2020","unstructured":"Hubmer, S., Ramlau, R.: A frame decomposition of the atmospheric tomography operator. Inverse Probl. 36(9), 094001 (2020). https:\/\/doi.org\/10.1088\/1361-6420\/aba4fe","journal-title":"Inverse Probl."},{"issue":"5","key":"4_CR26","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/abe5b8","volume":"37","author":"S Hubmer","year":"2021","unstructured":"Hubmer, S., Ramlau, R.: Frame decompositions of bounded linear operators in Hilbert spaces with applications in tomography. Inverse Probl. 37(5), 055001 (2021). https:\/\/doi.org\/10.1088\/1361-6420\/abe5b8","journal-title":"Inverse Probl."},{"issue":"5","key":"4_CR27","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ac5b86","volume":"38","author":"S Hubmer","year":"2022","unstructured":"Hubmer, S., Ramlau, R., Weissinger, L.: On regularization via frame decompositions with applications in tomography. Inverse Probl. 38(5), 055003 (2022). https:\/\/doi.org\/10.1088\/1361-6420\/ac5b86","journal-title":"Inverse Probl."},{"key":"4_CR28","doi-asserted-by":"publisher","unstructured":"Kazantsev, S.G.: Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere. Sib. \u00c8lektron. Mat. Izv. 15, 1630\u20131650 (2018). https:\/\/doi.org\/10.33048\/semi.2018.15.135","DOI":"10.33048\/semi.2018.15.135"},{"key":"4_CR29","doi-asserted-by":"publisher","unstructured":"Keiner, J., Kunis, S., Potts, D.: Using NFFT3 - a software library for various nonequispaced fast Fourier transforms. ACM Trans. Math. Softw. 36, Article 19, 1\u201330 (2009). https:\/\/doi.org\/10.1145\/1555386.1555388","DOI":"10.1145\/1555386.1555388"},{"issue":"2","key":"4_CR30","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/24\/2\/025018","volume":"24","author":"E Klann","year":"2008","unstructured":"Klann, E., Ramlau, R.: Regularization by fractional filter methods and data smoothing. Inverse Probl. 24(2), 025018 (2008)","journal-title":"Inverse Probl."},{"issue":"6","key":"4_CR31","doi-asserted-by":"publisher","first-page":"804","DOI":"10.1007\/s10958-019-04206-z","volume":"237","author":"AA Kudryavtsev","year":"2019","unstructured":"Kudryavtsev, A.A., Shestakov, O.V.: Estimation of the loss function when using Wavelet-Vaguelette decomposition for solving Ill-posed problems. J. Math. Sci. 237(6), 804\u2013809 (2019). https:\/\/doi.org\/10.1007\/s10958-019-04206-z","journal-title":"J. Math. Sci."},{"key":"4_CR32","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/S0377-0427(03)00546-6","volume":"161","author":"S Kunis","year":"2003","unstructured":"Kunis, S., Potts, D.: Fast spherical Fourier algorithms. J. Comput. Appl. Math. 161, 75\u201398 (2003). https:\/\/doi.org\/10.1016\/S0377-0427(03)00546-6","journal-title":"J. Comput. Appl. Math."},{"key":"4_CR33","unstructured":"Lee, N.: Wavelet-Vaguelette decompositions and homogeneous equations. ProQuest LLC, Ann Arbor, thesis (Ph.D.)-Purdue University (1997)"},{"issue":"3","key":"4_CR34","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/27\/3\/035015","volume":"27","author":"AK Louis","year":"2011","unstructured":"Louis, A.K., Riplinger, M., Spiess, M., Spodarev, E.: Inversion algorithms for the spherical Radon and cosine transform. Inverse Probl. 27(3), 035015 (2011). https:\/\/doi.org\/10.1088\/0266-5611\/27\/3\/035015","journal-title":"Inverse Probl."},{"issue":"2","key":"4_CR35","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00041-022-09928-4","volume":"28","author":"S Mildenberger","year":"2022","unstructured":"Mildenberger, S., Quellmalz, M.: Approximation properties of the double Fourier sphere method. J. Fourier Anal. Appl. 28(2), 1\u201330 (2022). https:\/\/doi.org\/10.1007\/s00041-022-09928-4","journal-title":"J. Fourier Anal. Appl."},{"key":"4_CR36","unstructured":"Minkowski, H.: Sur les corps de largeur constante. Matematiceskij Sbornik 25(3), 505\u2013508 (1905). https:\/\/mi.mathnet.ru\/sm6643"},{"key":"4_CR37","doi-asserted-by":"crossref","unstructured":"M\u00fcller, C.: Spherical Harmonics. Springer, Aachen (1966)","DOI":"10.1007\/BFb0094775"},{"key":"4_CR38","doi-asserted-by":"publisher","unstructured":"Plonka, G., Potts, D., Steidl, G., Tasche, M.: Numerical Fourier Analysis. Birkh\u00e4user, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-04306-3","DOI":"10.1007\/978-3-030-04306-3"},{"issue":"3","key":"4_CR39","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/33\/3\/035016","volume":"33","author":"M Quellmalz","year":"2017","unstructured":"Quellmalz, M.: A generalization of the Funk-Radon transform. Inverse Probl. 33(3), 035016 (2017). https:\/\/doi.org\/10.1088\/1361-6420\/33\/3\/035016","journal-title":"Inverse Probl."},{"key":"4_CR40","unstructured":"Quellmalz, M.: Reconstructing functions on the sphere from circular means. Dissertation, Universit\u00e4tsverlag Chemnitz (2019). https:\/\/nbn-resolving.org\/urn:nbn:de:bsz:ch1-qucosa2-384068"},{"issue":"3","key":"4_CR41","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s13324-020-00383-2","volume":"10","author":"M Quellmalz","year":"2020","unstructured":"Quellmalz, M.: The Funk-Radon transform for hyperplane sections through a common point. Anal. Math. Phys. 10(3), 1\u201329 (2020). https:\/\/doi.org\/10.1007\/s13324-020-00383-2","journal-title":"Anal. Math. Phys."},{"issue":"10","key":"4_CR42","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aad679","volume":"34","author":"M Quellmalz","year":"2018","unstructured":"Quellmalz, M., Hielscher, R., Louis, A.K.: The cone-beam transform and spherical convolution operators. Inverse Probl. 34(10), 105006 (2018). https:\/\/doi.org\/10.1088\/1361-6420\/aad679","journal-title":"Inverse Probl."},{"issue":"2","key":"4_CR43","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1109\/TMI.2021.3115716","volume":"41","author":"A Rauff","year":"2022","unstructured":"Rauff, A., Timmins, L.H., Whitaker, R.T., Weiss, J.A.: A nonparametric approach for estimating three-dimensional fiber orientation distribution functions (ODFs) in fibrous materials. IEEE Trans. Med. Imaging 41(2), 446\u2013455 (2022). https:\/\/doi.org\/10.1109\/TMI.2021.3115716","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"4","key":"4_CR44","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1515\/jip-2012-0095","volume":"22","author":"M Riplinger","year":"2013","unstructured":"Riplinger, M., Spiess, M.: Numerical inversion of the spherical Radon transform and the cosine transform using the approximate inverse with a special class of locally supported mollifiers. J. Inverse Ill-Posed Probl. 22(4), 497\u2013536 (2013). https:\/\/doi.org\/10.1515\/jip-2012-0095","journal-title":"J. Inverse Ill-Posed Probl."},{"issue":"3","key":"4_CR45","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1142\/S021953052150024X","volume":"20","author":"B Rubin","year":"2022","unstructured":"Rubin, B.: On the spherical slice transform. Anal. Appl. 20(3), 483\u2013497 (2022). https:\/\/doi.org\/10.1142\/S021953052150024X","journal-title":"Anal. Appl."},{"issue":"2","key":"4_CR46","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s13324-016-0135-7","volume":"7","author":"Y Salman","year":"2016","unstructured":"Salman, Y.: Recovering functions defined on the unit sphere by integration on a special family of sub-spheres. Anal. Math. Phys. 7(2), 165\u2013185 (2016). https:\/\/doi.org\/10.1007\/s13324-016-0135-7","journal-title":"Anal. Math. Phys."},{"issue":"4","key":"4_CR47","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1215\/S0012-7094-81-04839-0","volume":"48","author":"RS Strichartz","year":"1981","unstructured":"Strichartz, R.S.: $$L^p$$ estimates for Radon transforms in Euclidean and non-Euclidean spaces. Duke Math. J. 48(4), 699\u2013727 (1981)","journal-title":"Duke Math. J."},{"issue":"2","key":"4_CR48","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/acad24","volume":"39","author":"F Terzioglu","year":"2023","unstructured":"Terzioglu, F.: Recovering a function from its integrals over conical surfaces through relations with the Radon transform. Inverse Probl. 39(2), 024005 (2023). https:\/\/doi.org\/10.1088\/1361-6420\/acad24","journal-title":"Inverse Probl."},{"issue":"6","key":"4_CR49","doi-asserted-by":"publisher","first-page":"1358","DOI":"10.1002\/mrm.20279","volume":"52","author":"DS Tuch","year":"2004","unstructured":"Tuch, D.S.: Q-ball imaging. Magn. Reson. Med. 52(6), 1358\u20131372 (2004). https:\/\/doi.org\/10.1002\/mrm.20279","journal-title":"Magn. Reson. Med."},{"key":"4_CR50","unstructured":"Weissinger, L.: Realization of the frame decomposition of the atmospheric tomography operator. Master\u2019s thesis, JKU Linz (2021). https:\/\/lisss.jku.at\/permalink\/f\/n2r1to\/ULI_alma5185824070003340"},{"issue":"3","key":"4_CR51","doi-asserted-by":"publisher","first-page":"C238","DOI":"10.1137\/16M1070207","volume":"39","author":"H Wilber","year":"2017","unstructured":"Wilber, H., Townsend, A., Wright, G.B.: Computing with functions in spherical and polar geometries II. The disk. SIAM J. Sci. Comput. 39(3), C238\u2013C262 (2017). https:\/\/doi.org\/10.1137\/16M1070207","journal-title":"The disk. SIAM J. Sci. Comput."},{"issue":"6","key":"4_CR52","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/27\/6\/065001","volume":"27","author":"CE Yarman","year":"2011","unstructured":"Yarman, C.E., Yazici, B.: Inversion of the circular averages transform using the Funk transform. Inverse Probl. 27(6), 065001 (2011). https:\/\/doi.org\/10.1088\/0266-5611\/27\/6\/065001","journal-title":"Inverse Probl."},{"key":"4_CR53","doi-asserted-by":"publisher","unstructured":"Yee, S.Y.K.: Studies on Fourier series on spheres. Mon. Weather Rev. 108(5), 676\u2013678 (1980). https:\/\/doi.org\/10.1175\/1520-0493(1980)108<0676:SOFSOS>2.0.CO;2","DOI":"10.1175\/1520-0493(1980)108<0676:SOFSOS>2.0.CO;2"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-31975-4_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T12:17:20Z","timestamp":1710245840000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-31975-4_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031319747","9783031319754"],"references-count":53,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-31975-4_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"10 May 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SSVM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Scale Space and Variational Methods in Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santa Margherita di Pula","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 May 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 May 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scalespace2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/eventi.unibo.it\/ssvm2023","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"CMT","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"72","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"57","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"79% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}