Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The Hermitian wavelet is defined as the derivative of a Gaussian distribution: where denotes the Hermite polynomial. The normalisation coefficient is given by: The prefactor in the resolution of the identity of the continuous wavelet transform for this wavelet is given by: i.e. Hermitian wavelets are admissible for all positive . In computer vision and image processing, Gaussian derivative operators of different orders are frequently used as a basis for expressing various types of visual operations; see scale space and N-jet. Examples of Hermitian wavelets: Starting from Gaussian function with : the first 3 derivatives read as, and their norms So the wavelets which are the negative normalized derivatives are: See also Wavelet External links Hermitian Clifford–Hermite Wavelets (Department of Mathematical Analysis, Faculty of Engineering, Ghent University) Continuous wavelets