Muñoz, ArrateArrateMuñozTHIERRY BLUUnser, MichaelMichaelUnser2024-03-082024-03-082002-06-0110577149https://scholars.lib.ntu.edu.tw/handle/123456789/640665We propose to design the reduction operator of an image pyramid so as to minimize the approximation error in the ℓ p-sense (not restricted to the usual p = 2), where p can take non-integer values. The underlying image model is specified using shift-invariant basis functions, such as B-splines. The solution is well-defined and determined by an iterative optimization algorithm based on digital filtering. Its convergence is accelerated by the use of first and second order derivatives. For p close to 1, we show that the ringing is reduced and that the histogram of the detail image is sparse as compared with the standard case, where p = 2.enBanach spaces | Multiresolution | Non-Euclidean norms | Splinesjournal article10.1109/TIP.2002.1014997182446642-s2.0-0036611843https://api.elsevier.com/content/abstract/scopus_id/0036611843