This paper presents a new technique for image adaptive restoration called 3
sigma -multiresolution plane fitting (3 sigma -MPF) and the global restora
tion index (GRI) index, which evaluates the restoration performance of smoo
thing methods. The 3 sigma -MPF filter is based on an adaptive plane fittin
g technique using variable-sized windows with different behavior for contin
uous regions or discontinuities. The criteria used to select the window siz
e and detect discontinuities is the 3 sigma -fidelity test. The GRI, integr
ates two independent indices measuring restoration smoothness and fidelity.
Using this index, the 3 sigma -MPF filter performance is compared with oth
er traditional methods, demonstrating better performance under Gaussian noi
se and robustness against outliers. (C) 2000 Pattern Recognition Society. P
ublished by Elsevier Science Ltd. All rights reserved.