Abstract: A method that reconstructs an image function (r), which represents an object function (ƒ) of an object imaged by periodically structured illumination with an illumination grating. It includes: provision of a group of optical sectional images, which are formed after folding operations of the object function (ƒ) with an illumination point spread function (hI), from recorded intermediate images (gi) of the object, wherein the group of optical sectional images contains sub-images (gck, gsk) whose contributions in the image function (r) are formed by kth Fourier components (k>1) of the illumination grating, and demodulation of the group of optical sectional images in order to generate the image function (r). Also described are an imaging method and devices in which the reconstruction method is used.

Abstract: A method for reconstruction of an image function (r), which represents an object function (ƒ) of an object (1) imaged with periodically structured illumination, from optical section images (gc, gs), which are formed following convolution operations on the object function (ƒ) with a modified illumination point spread function (hI), comprises the steps of generating (S1) corrected optical section images (gc?, gs?), wherein predetermined filter operators are applied to the optical section images (gc, gs), said filter operators being the inverse of the convolution operations, and demodulation (S2) of the corrected optical section images (gc?, gs?) in order to generate the image function (r). In addition, an imaging method and an imaging apparatus are described, by means of which the aforementioned reconstruction method is applied.

Abstract: A method for reconstruction of an image function (r), which represents an object function (f) of an object (1) imaged with periodically structured illumination, from optical section images (gc, gs), which are formed following convolution operations on the object function (f) with a modified illumination point spread function (hI), comprises the steps of generating (S1) corrected optical section images (gc?, gs?), wherein predetermined filter operators are applied to the optical section images (gc, gs), said filter operators being the inverse of the convolution operations, and demodulation (S2) of the corrected optical section images (gc?, gs?) in order to generate the image function (r). In addition, an imaging method and an imaging apparatus are described, by means of which the aforementioned reconstruction method is applied.

Abstract: A method that reconstructs an image function (r), which represents an object function (f) of an object imaged by periodically structured illumination with an illumination grating. It includes: provision of a group of optical sectional images, which are formed after folding operations of the object function (f) with an illumination point spread function (hI), from recorded intermediate images (gi) of the object, wherein the group of optical sectional images contains sub-images (gck, gsk) whose contributions in the image function (r) are formed by kth Fourier components (k>1) of the illumination grating, and demodulation of the group of optical sectional images in order to generate the image function (r). Also described are an imaging method and devices in which the reconstruction method is used.