Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. (English) Zbl 1404.86031 Inverse Probl. 34, No. 1, Article ID 014002, 25 p. (2018). MSC: 86A22 44A12 65M32 86A15 PDF BibTeX XML Cite \textit{C. Grathwohl} et al., Inverse Probl. 34, No. 1, Article ID 014002, 25 p. (2018; Zbl 1404.86031) Full Text: DOI
Quinto, Eric Todd; Rieder, Andreas; Schuster, Thomas Local inversion of the sonar transform regularized by the approximate inverse. (English) Zbl 1214.65066 Inverse Probl. 27, No. 3, Article ID 035006, 18 p. (2011). MSC: 65R10 44A12 PDF BibTeX XML Cite \textit{E. T. Quinto} et al., Inverse Probl. 27, No. 3, Article ID 035006, 18 p. (2011; Zbl 1214.65066) Full Text: DOI
Rieder, Andreas; Schneck, Arne Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion. (English) Zbl 1131.65104 Numer. Math. 108, No. 1, 151-175 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R10 44A12 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{A. Schneck}, Numer. Math. 108, No. 1, 151--175 (2007; Zbl 1131.65104) Full Text: DOI
Lechleiter, Armin; Rieder, Andreas Newton regularizations for impedance tomography: a numerical study. (English) Zbl 1109.65100 Inverse Probl. 22, No. 6, 1967-1987 (2006). MSC: 65N30 65J20 44A12 78A25 35Q60 35R25 35R30 78M10 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{A. Rieder}, Inverse Probl. 22, No. 6, 1967--1987 (2006; Zbl 1109.65100) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action. III: 3D-Doppler tomography. (English) Zbl 1071.65178 Numer. Math. 97, No. 2, 353-378 (2004). Reviewer: R. S. Dahiya (Ames) MSC: 65R10 65J10 65J20 47A50 44A12 92C55 65R30 47A52 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, Numer. Math. 97, No. 2, 353--378 (2004; Zbl 1071.65178) Full Text: DOI
Rieder, Andreas; Faridani, Adel The semidiscrete filtered backprojection algorithm is optimal for tomographic inversion. (English) Zbl 1052.65118 SIAM J. Numer. Anal. 41, No. 3, 869-892 (2003). Reviewer: R. S. Dahiya (Ames) MSC: 65R10 44A12 92C55 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{A. Faridani}, SIAM J. Numer. Anal. 41, No. 3, 869--892 (2003; Zbl 1052.65118) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action II: convergence and stability. (English) Zbl 1022.65066 Math. Comput. 72, No. 243, 1399-1415 (2003). Reviewer: R.S.Dahiya (Ames) MSC: 65J10 65J20 65R10 44A12 47A50 47A52 92C55 65R30 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, Math. Comput. 72, No. 243, 1399--1415 (2003; Zbl 1022.65066) Full Text: DOI
Rieder, Andreas Principles of reconstruction filter design in 2D-computerized tomography. (English) Zbl 0986.65133 Quinto, Eric Todd (ed.) et al., Radon transforms and tomography. 2000 AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 18-22, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 278, 207-226 (2001). MSC: 65R10 44A12 92C55 PDF BibTeX XML Cite \textit{A. Rieder}, Contemp. Math. 278, 207--226 (2001; Zbl 0986.65133)
Rieder, Andreas; Dietz, Rainer; Schuster, Thomas Approximate inverse meets local tomography. (English) Zbl 0966.65109 Math. Methods Appl. Sci. 23, No. 15, 1373-1387 (2000). Reviewer: Josef Kofroň (Praha) MSC: 65R20 44A12 92C55 PDF BibTeX XML Cite \textit{A. Rieder} et al., Math. Methods Appl. Sci. 23, No. 15, 1373--1387 (2000; Zbl 0966.65109) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action with an application to computerized tomography. (English) Zbl 0961.65112 SIAM J. Numer. Anal. 37, No. 6, 1909-1929 (2000). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 65J20 65J10 65R30 44A12 47A52 92C55 47A50 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, SIAM J. Numer. Anal. 37, No. 6, 1909--1929 (2000; Zbl 0961.65112) Full Text: DOI
Maaß, Peter; Rieder, Andreas Wavelet-accelerated Tikhonov-Phillips regularization with applications. (English) Zbl 0880.65028 Engl, Heinz W. (ed.) et al., Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Wien: Springer. 134-158 (1997). MSC: 65J10 65R10 44A12 92C55 65J20 47A50 PDF BibTeX XML Cite \textit{P. Maaß} and \textit{A. Rieder}, in: Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4--10, 1996. Wien: Springer. 134--158 (1997; Zbl 0880.65028)
Rieder, Andreas The high frequency behaviour of continuous wavelet transforms. (English) Zbl 0838.44004 Appl. Anal. 52, No. 1-4, 125-141 (1994). MSC: 44A15 PDF BibTeX XML Cite \textit{A. Rieder}, Appl. Anal. 52, No. 1--4, 125--141 (1994; Zbl 0838.44004) Full Text: DOI
Rieder, Andreas The wavelet transform on Sobolev spaces and its approximation properties. (English) Zbl 0699.44003 Numer. Math. 58, No. 8, 875-894 (1991). Reviewer: A.Rieder MSC: 44A15 65R10 PDF BibTeX XML Cite \textit{A. Rieder}, Numer. Math. 58, No. 8, 875--894 (1991; Zbl 0699.44003) Full Text: DOI EuDML
Rieder, A. Approximationseigenschaften der kontinuierlichen Wavelet-Transformation. (Approximation properties of the continuous wavelet transform). (German) Zbl 0729.44004 Z. Angew. Math. Mech. 70, No. 6, 577-578 (1990). MSC: 44A15 94A12 PDF BibTeX XML Cite \textit{A. Rieder}, Z. Angew. Math. Mech. 70, No. 6, 577--578 (1990; Zbl 0729.44004)
Rieder, Andreas Approximationseigenschaften der Wavelet-Transformation. (Approximation properties of the wavelet transformation). (German) Zbl 0725.44004 Berlin: TU Berlin, FB 3 Math., Diss. 74 S. (1990). MSC: 44A15 65R10 94A12 PDF BibTeX XML Cite \textit{A. Rieder}, Approximationseigenschaften der Wavelet-Transformation. (Approximation properties of the wavelet transformation). Berlin: TU Berlin, FB 3 Math. (1990; Zbl 0725.44004)
Louis, Alfred K.; Rieder, Andreas Incomplete data problems in X-ray computerized tomography. II: Truncated projections and region-of-interest tomography. (English) Zbl 0675.65137 Numer. Math. 56, No. 4, 371-383 (1989). MSC: 65R10 44A15 47A70 45H05 PDF BibTeX XML Cite \textit{A. K. Louis} and \textit{A. Rieder}, Numer. Math. 56, No. 4, 371--383 (1989; Zbl 0675.65137) Full Text: DOI EuDML