Problem of piecewise-constant image restoration is considered in the paper. 
Algorithm based on solution of nonlinear nonquadratic regularization problem 
is developed and discussed in the paper. Nonenergy measure of signal 
in the form of time duration is modified in order to describe spatial 
extension of image and used afterwards as a nonquadratic regularization 
term in image restoration procedure. Proposed approach is investigated 
through numerical simulations for one-dimensional signals and images, 
and compared to results given by standard Tikhonov regularization scheme. 
Results of application of developed algorithm for filtration 
of noisy aerospace images are given