Discrete finite variation: a new measure of smoothness for the design of wavelet basis

  title={Discrete finite variation: a new measure of smoothness for the design of wavelet basis},
  author={Jan E. Odegard and C. Sidney Burrus},
A new method for measuring and designing smooth wavelet basi s which dispenses with the need for having a large number of zer o moments of the wavelet is given. The method is based on minimizing the “discrete finite variation”, and is a measure of th e local “roughness” of asampledversion of the scaling function giving rise to “visually smooth” wavelet basis. Smooth wavelet bas is re deemed to be important for several applications and in parti cularly for image compression where the goal is to… CONTINUE READING

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