A light sheet microscopic method for generating a volume image of a sample, in which a light sheet is generated in an intermediate image space by an illumination optical system, which light sheet is imaged into the sample with the aid of a transport optical system, the light sheet extending along a light propagation direction and an extension direction perpendicular thereto; a plurality of successive layers of the sample along a scanning direction are illuminated with the aid of the light sheet so that a volume region of the sample that essentially has the shape of a parallelepiped spanned by the light propagation direction, the extension direction and the scanning direction is scanned; the illuminated layers are each imaged as an intermediate image into the intermediate image space by the transport optical system; by a detection optical system, the optical axis of which is tilted by a tilt angle (α) with respect to the optical axis of the transport optical system, one layer image each is generated from the intermediate images of the illuminated layers; and volume image data which represent a layer image stack composed of the layer images are generated, the relative positions of the individual layer images along the light propagation direction are changed with respect to the relative positions of the corresponding illuminated layers along the light propagation direction due to the tilting of the optical axis of the detection optical system relative to the optical axis of the transport optical system, so that the layer image stack is sheared with respect to the scanned volume region by the tilt angle; characterized in that first spectral data are generated by a two-dimensional first transformation of a first part of the volume image data of the layer image stack, which first part is not distorted by the shearing, the first transformation taking place in first image coordinates along the extension direction and in second image coordinates along the scanning direction into the Fourier space; an unshearing operation is applied to a second part of the volume image data distorted by the shearing; a target image space is defined by the extension direction, the scanning direction and a third direction perpendicular to the two afore-mentioned directions; and in the target image space, the volume image is generated from the first spectral data and the second part of the volume image data unsheared by the unshearing operation. a light sheet is generated in an intermediate image space by an illumination optical system, which light sheet is imaged into the sample with the aid of a transport optical system, the light sheet extending along a light propagation direction and an extension direction perpendicular thereto; a plurality of successive layers of the sample along a scanning direction are illuminated with the aid of the light sheet so that a volume region of the sample that essentially has the shape of a parallelepiped spanned by the light propagation direction, the extension direction and the scanning direction is scanned; the illuminated layers are each imaged as an intermediate image into the intermediate image space by the transport optical system; by a detection optical system, the optical axis of which is tilted by a tilt angle (α) with respect to the optical axis of the transport optical system, one layer image each is generated from the intermediate images of the illuminated layers; and volume image data which represent a layer image stack composed of the layer images are generated, the relative positions of the individual layer images along the light propagation direction are changed with respect to the relative positions of the corresponding illuminated layers along the light propagation direction due to the tilting of the optical axis of the detection optical system relative to the optical axis of the transport optical system, so that the layer image stack is sheared with respect to the scanned volume region by the tilt angle; characterized in that first spectral data are generated by a two-dimensional first transformation of a first part of the volume image data of the layer image stack, which first part is not distorted by the shearing, the first transformation taking place in first image coordinates along the extension direction and in second image coordinates along the scanning direction into the Fourier space; an unshearing operation is applied to a second part of the volume image data distorted by the shearing; a target image space is defined by the extension direction, the scanning direction and a third direction perpendicular to the two afore-mentioned directions; and in the target image space, the volume image is generated from the first spectral data and the second part of the volume image data unsheared by the unshearing operation.