Three-Dimensional Separable Steerable Filters


  • Konstantinos G. Derpanis
  • Jacob M. Gryn
  • Markus Enzweiler


This work details the construction of three-dimensional (e.g., X-Y-Z) separable steerable filters. The approach presented is an extension of the construction of two-dimensional (X-Y) separable steerable filters. Additionally, three-dimensional separable steerable filters, both continuous and discrete versions, for the second derivative of the Gaussian and its Hilbert transform are reported. Experimental evaluation demonstrate that the error in the constructed separable filters are negligible. Finally, an application of the filters for surveillance based on visual motion is presented.

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