Skip Navigation
York U: Redefine the PossibleHOME | Current Students | Faculty & Staff | Research | International
Search »FacultiesLibrariesCampus MapsYork U OrganizationDirectorySite Index
Future Students, Alumni & Visitors
2004 Technical Reports

Three-Dimensional nth Derivative of Gaussian Separable Steerable Filters

Konstantinos G. Derpanis and Jacob M. Gryn

Technical Report CS-2004-05

York University

November 22, 2004


The following report 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 outlined in [1]. 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.

[1] "The Design and Use of Steerable Filters" by William T. Freeman and Edward H. Adelson, IEEE Transactions on Pattern Analysis and Machine Intelligence., 1991.

Download paper in PDF format.

The documents distributed by this server have been provided by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a noncommercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.