Method for operating a point laser-scanning microscope, comprising scanning a sample with a focused illumination laser beam; recording, by means of an array of detecting elements optically conjugated with the focal point of the illumination laser beam, a plurality of images of the sample over a scan by the laser beam, wherein each ( i, j) of said detecting elements generates a detection signal for each of different positions n of the illumination beam on the sample, from which with the scan of the sample a respective image of the sample is produced, and wherein said detecting elements are configurable to an intensity mode, in which the recorded images are intensity images g i,j ( n) related to photons collected during an entire dwell time of the illumination beam on the individual position n, or to a time-resolved mode, in which the recorded images are time-resolved images g i, j t n t, in which the collected photons are discriminated based on their times of arrival to the individual detecting elements; if the detecting elements are configured to the time-resolved mode, calculating a plurality of intensity images g i,j ( n), by integrating the plurality of time-resolved images over time g i, j t n t; independently of whether the detecting elements are configured to the intensity mode or to the time-resolved mode, calculating a fingerprint image a by summing the plurality of intensity images g i,j ( n) over all positions n of the illumination beam on the sample, said fingerprint image depending simultaneously on an illumination point-spread function, hereinafter illumination PSF, h exc, and a detection point-spread function, hereinafter detection PSF, h det, independently of whether the detecting elements are configured to the intensity mode or to the time-resolved mode, estimating shift matrices s x and s y from the intensity images g i,j ( n), reconstructing at least one of: i) a time-resolved object function f t, based on the plurality of time-resolved images g i, j t n t, fingerprint image a and shift matrices s x and s y, and ii) an intensity object function f, based on the plurality of intensity images g i, j ( n), fingerprint image a and shift matrices s x and s y, or by integrating the time-resolved object function f t over time, and, visualizing at least one of a high-resolution time-resolved image f t ~ and a high-resolution intensity image f ~, based on said time-resolved object function and intensity object function. scanning a sample with a focused illumination laser beam; recording, by means of an array of detecting elements optically conjugated with the focal point of the illumination laser beam, a plurality of images of the sample over a scan by the laser beam, wherein each ( i, j) of said detecting elements generates a detection signal for each of different positions n of the illumination beam on the sample, from which with the scan of the sample a respective image of the sample is produced, and wherein said detecting elements are configurable to an intensity mode, in which the recorded images are intensity images g i,j ( n) related to photons collected during an entire dwell time of the illumination beam on the individual position n, or to a time-resolved mode, in which the recorded images are time-resolved images g i, j t n t, in which the collected photons are discriminated based on their times of arrival to the individual detecting elements; if the detecting elements are configured to the time-resolved mode, calculating a plurality of intensity images g i,j ( n), by integrating the plurality of time-resolved images over time g i, j t n t; independently of whether the detecting elements are configured to the intensity mode or to the time-resolved mode, calculating a fingerprint image a by summing the plurality of intensity images g i,j ( n) over all positions n of the illumination beam on the sample, said fingerprint image depending simultaneously on an illumination point-spread function, hereinafter illumination PSF, h exc, and a detection point-spread function, hereinafter detection PSF, h det, independently of whether the detecting elements are configured to the intensity mode or to the time-resolved mode, estimating shift matrices s x and s y from the intensity images g i,j ( n), reconstructing at least one of: i) a time-resolved object function f t, based on the plurality of time-resolved images g i, j t n t, fingerprint image a and shift matrices s x and s y, and ii) an intensity object function f, based on the plurality of intensity images g i, j ( n), fingerprint image a and shift matrices s x and s y, or by integrating the time-resolved object function f t over time, and, i) a time-resolved object function f t, based on the plurality of time-resolved images g i, j t n t, fingerprint image a and shift matrices s x and s y, and ii) an intensity object function f, based on the plurality of intensity images g i, j ( n), fingerprint image a and shift matrices s x and s y, or by integrating the time-resolved object function f t over time, and, visualizing at least one of a high-resolution time-resolved image f t ~ and a high-resolution intensity image f ~, based on said time-resolved object function and intensity object function.