Abstract: A method of accumulating an image of a specimen using a scanning-type microscope, comprising the following steps: Providing a beam of radiation that is directed from a source through an illuminator so as to irradiate the specimen; Providing a detector for detecting a flux of radiation emanating from the specimen in response to said irradiation; Causing said beam to undergo scanning motion relative to a surface of the specimen, and recording an output of the detector as a function of scan position, which method additionally comprises the following steps: In a first sampling session S1gathering detector data from a first collection P1 of sampling points distributed sparsely across the specimen; Repeating this procedure so as to accumulate a set {Pn} of such collections, gathered during an associated set {Sn} of sampling sessions, each set with a cardinality N>1; Assembling an image of the specimen by using the set {Pn} as input to an integrative mathematical reconstruction procedure, wherein, as part of