A new family of complex rotation-covariant multiresolution bases in 2D
Journal
Proceedings of SPIE - The International Society for Optical Engineering
Journal Volume
5207
Journal Issue
1
Date Issued
2003-01-01
Author(s)
Abstract
We present complex rotation-covariant multiresolution families aimed for image analysis. Since they are complex-valued functions, they provide the important phase information, which is missing in the discrete wavelet transform with real wavelets. Our basis elements have nice properties in Hubert space such as smoothness of fractional order α ∈ ℝ+. The corresponding filters allow a FFT-based implementation and thus provide a fast algorithm for the wavelet transform.
Subjects
Complex wavelets | Multiresolution | Riesz basis | Scaling functions | Two-scale relation
Type
conference paper