“Denoising”

Remark: Chapter of the book “Image Processing and Analysing With Graphs: Theory and Practice”, Edited by O. Lézoray and L. Grady. (CRC Press, Taylor & Francis Group, In Press). ISBN:978-1-439-85507-2.

Abstract: In this paper, we study the problem of recovering sparse or compressible signals from uniformly quantized measurements. We present a new class of convex optimization programs, or decoders, coined Basis Pursuit DeQuantizer of moment p (BPDQp), that model the quantization distortion more faithfully than the commonly used Basis Pursuit DeNoise (BPDN) program.