2-D Complex Wavelet Decomposition

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This application shows the Dual-Tree Complex Wavelet Transform (DT-CWT) decomposition of a given input image. The DT-CWT improves upon the Discrete Wavelet Transform (DWT), by offering a better directional selectivity (6 orientation subbands) and approximately shift invariance for the complex coefficient magnitudes. This is beneficial in many practical applications.

The input image can either be an pre-loaded image (the classical zone plate image, Shepp-Logan phantom, circle) or loaded from a file. Please be aware that this last feature may not work in the webbrowser due to security restrictions as hard disk access is required. On the left side, you can select:

On the right side, you can choose the number of scales of the transform and what you want to display: the real parts, the imaginary parts or the magnitudes of the complex coefficients.