Shahin Shafei
For keeping the signal exponents at the singular points of the underlying signal and lifting its smoothness at all the remaining points. An extension of the non-linear smoothness constrained filter to image processing is studied at this paper. Numerical experiments demonstrated that our approach is effective and efficient. there exists a polynomial of degree such that is a piecewise smooth signal, infinitely differentiable and there exists a polynomial of degree the definition of H¨older exponent, conclude that admits for all except the singular points. Then we can rewrite the above equation by theorem. it admits as its exponent