Applications of Gröbner bases to signal and image processing: a survey
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Publication:1888344
DOI10.1016/j.laa.2004.01.008zbMath1070.94002OpenAlexW2099890072MaRDI QIDQ1888344
Publication date: 23 November 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.008
Gröbner basesmultivariate polynomialFIR filterIIR filtermultidimensional waveletsmultidimensional filter banks
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
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Multidimensional perfect reconstruction filter banks: An approach of algebraic geometry ⋮ On the reduction of multivariate quadratic systems to best rank-1 approximation of three-way tensors ⋮ The Steinberg group of a monoid ring, nilpotence, and algorithms ⋮ Exact linear modeling with polynomial coefficients ⋮ The Number of Gröbner Bases in Finite Fields (Research) ⋮ Small Gröbner fans of ideals of points ⋮ nD methods for 1D parameter-dependent systems ⋮ Common eigenvector approach to exact order reduction for Roesser state-space models of multidimensional systems ⋮ A short history of algebraic statistics ⋮ Smooth supersaturated models
Uses Software
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