The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Commutative hypercomplex Fourier transforms of multidimensional signals
Geometric computing with Clifford algebras
Signal Processing for Computer Vision
Signal Processing for Computer Vision
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The structure multivector is a new approach for analyzing the local properties of a two-dimensional signal (e.g. image). It combines the classical concepts of the structure tensor and the analytic signal in a new way. This has been made possible using a representation in the algebra of quaternions. The resulting method is linear and of low complexity. The filter-response includes local phase, local amplitude and local orientation of intrinsically one-dimensional neighborhoods in the signal. As for the structure tensor, the structure multivector field can be used to apply special filters to it for detecting features in images.