Differential Haar-Gaussian wavelet transform and its application to edge detection with large depth of focus

We propose a new wavelet transform, which is the differential Haar-Gaussian wavelet transform. This new wavelet transform is applied to the edge detection, which can be processed in both spatial and the frequency domains. The bandwidth-matching algorithm and the telecentric optics are used to achieve fast calculation, and to produce high-precision edge detection results with large depth of focus.