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20132020
most citedA General Geometric Fourier Transform Convolution Theorem

26 citations · 30 across the 8 of their papers we have counts for

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6 papers · 1 filter

cs.CV2013

Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has been proven a useful tool f…

math.AG2013★ 2 cited

Detection of Total Rotations on 2D-Vector Fields with Geometric Correlation

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras additionally contains informati…

math.AG2013★ 1 cited

Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has proven a useful tool for co…

math.AG2013★ 26 cited

A General Geometric Fourier Transform Convolution Theorem

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9…

math.AG2013

A General Geometric Fourier Transform

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

The increasing demand for Fourier transforms on geometric algebras has resulted in a large variety. Here we introduce one single straight forward definition of a general geometric…

math.CA2013

Convolution products for hypercomplex Fourier transforms

Roxana Bujack, Hendrik De Bie, Nele De Schepper +1

Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further a…