Optimally Rotation-Equivariant Directional Derivative Kernels

Abstract. We describe a framework for the design of directional derivative kernels for two-dimensional discrete signals in which we optimize a measure of rotation-equivariance in the Fourier domain. The formulation is applicable to rst-order and higher-order derivatives. We design a set of compact, separable, linear-phase derivative kernels of di erent orders and demonstrate their accuracy.

• Type: Conference
• Year: 1997
• Where: CAIP
• Authors: Hany Farid, Eero P. Simoncelli
• Keywords: CAIP 1997, Derivative Kernels, Directional Derivative Kernels, Image Analysis, Two-dimensional Discrete Signals