Groebner basis methods for multichannel sampling with unknown offsets

[1]  A. Papoulis,et al.  Generalized sampling expansion , 1977 .

[2]  Thomas Dubé,et al.  The Structure of Polynomial Ideals and Gröbner Bases , 2013, SIAM J. Comput..

[3]  Myong-Hi Kim,et al.  Polynomial Root-Finding Algorithms and Branched Covers , 1994, SIAM J. Comput..

[4]  Martin Vetterli,et al.  Groebner basis techniques in multidimensional multirate systems , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[5]  Kiyoshi Shirayanagi Floating point Gro¨bner bases , 1996 .

[6]  Thomas S. Huang,et al.  Algebraic methods for image processing and computer vision , 1996, IEEE Trans. Image Process..

[7]  Kiyoshi Shirayanagi Floating point Grijbner bases , 1996 .

[8]  Hans J. Stetter,et al.  Stabilization of polynomial systems solving with Groebner bases , 1997, ISSAC.

[9]  Michael Unser,et al.  Generalized sampling without bandlimiting constraints , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  David A. Cox,et al.  Ideals, Varieties, and Algorithms , 1997 .

[11]  Ernst W. Mayr,et al.  Some Complexity Results for Polynomial Ideals , 1997, J. Complex..

[12]  Michael Unser,et al.  Generalized sampling: stability and performance analysis , 1997, IEEE Trans. Signal Process..

[13]  Martin Vetterli,et al.  Gröbner Bases and Multidimensional FIR Multirate Systems , 1997, Multidimens. Syst. Signal Process..

[14]  Fabrice Rouillier,et al.  Design of regular nonseparable bidimensional wavelets using Grobner basis techniques , 1998, IEEE Trans. Signal Process..

[15]  Chalie Charoenlarpnopparut Groebner Bases in Multidimensional Systems and Signal Processing , 1999 .

[16]  Martin Vetterli,et al.  Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations , 2000, IEEE Trans. Signal Process..

[17]  Bruno Buchberger,et al.  Gröbner Bases and Systems Theory , 2001, Multidimens. Syst. Signal Process..

[18]  Bruno Buchberger,et al.  Gröbner Bases: A Short Introduction for Systems Theorists , 2001, EUROCAST.

[19]  Alberto Zanoni,et al.  Numerical stability and stabilization of Groebner basis computation , 2002, ISSAC '02.

[20]  A. ADoefaa,et al.  ? ? ? ? f ? ? ? ? ? , 2003 .

[21]  Moon Gi Kang,et al.  Super-resolution image reconstruction: a technical overview , 2003, IEEE Signal Process. Mag..

[22]  Gregory W. Wornell,et al.  Signal recovery in time-interleaved analog-to-digital converters , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[23]  Michael Elad,et al.  Advances and challenges in super‐resolution , 2004, Int. J. Imaging Syst. Technol..

[24]  Martin Vetterli,et al.  Signal Reconstruction From Multiple Unregistered Sets Of Samples Using Groebner Bases , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[25]  Minh N. Do,et al.  Multidimensional Multichannel FIR Deconvolution Using GrÖbner Bases , 2006, IEEE Transactions on Image Processing.

[26]  Sabine Süsstrunk,et al.  A Frequency Domain Approach to Registration of Aliased Images with Application to Super-resolution , 2006, EURASIP J. Adv. Signal Process..

[27]  Joos Vandewalle,et al.  Aliasing is Good for You: Joint Registration and Reconstruction for Super-Resolution , 2006 .

[28]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[29]  Minh N. Do,et al.  Multidimensional Multichannel FIR Deconvolution , 2006 .

[30]  Bruno Buchberger,et al.  Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal , 2006, J. Symb. Comput..

[31]  P. Vandewalle Super-resolution from unregistered aliased images , 2006 .

[32]  Joos Vandewalle,et al.  Super-Resolution From Unregistered and Totally Aliased Signals Using Subspace Methods , 2007, IEEE Transactions on Signal Processing.