A method for acquiring three-dimensional images of objects using two cameras (1a, 1b) having acquisition areas that overlap each other wherein, in advance, the arrangement of the two cameras (1a, 1b) is calibrated, wherein the position and orientation of the two cameras (1a, 1b) with respect to each other is ascertained and a transformation is determined, which respectively assigns an image position, in particular the position of a pixel, of an image recorded with the one camera and one image position of an image recorded with the other camera, exactly one spatial position in a three-dimensional acquisition space, and further, in the course of the calibration method for each of the cameras (1a, 1b), a group of epipolar lines (9a, 9b) is identified, wherein an epipolar line of the one camera is assigned in each case to exactly one epipolar line of the other camera, wherein a specified random image is projected on the object to be acquired, wherein the individual image points of the random image have one of at least two different colour values and/or intensity values, and the environment of each pixel inside the entire random image is uniquely assignable to the respective pixel, and then, for each pixel of the first camera - a first environment is determined, - a first epipolar line found for this first camera and comprising the respective pixel is determined, - the second epipolar line of the second camera assigned to this found first epipolar line is determined, - for all pixels of the image of the second camera, which are located on the second epipolar line, - a second environment is determined, which is congruent with the first environment, - the intensity values of the first and second environment (13a, 13b) are compared with each other, - a measure of agreement of the two environments is determined, and - the image position on the second epipolar line for which the measure of agreement is greatest is determined, and - wherein, a spatial position is determined by means of the transformation based on the image position of the pixel of the first camera and the identified image position on the second epipolar line, and this spatial position is stored, wherein the image of the acquired object is determined by the set of found spatial positions and is kept available for further processing. - a first environment is determined, - a first epipolar line found for this first camera and comprising the respective pixel is determined, - the second epipolar line of the second camera assigned to this found first epipolar line is determined, - for all pixels of the image of the second camera, which are located on the second epipolar line, - a second environment is determined, which is congruent with the first environment, - the intensity values of the first and second environment (13a, 13b) are compared with each other, - a measure of agreement of the two environments is determined, and - the image position on the second epipolar line for which the measure of agreement is greatest is determined, and - wherein, a spatial position is determined by means of the transformation based on the image position of the pixel of the first camera and the identified image position on the second epipolar line, and this spatial position is stored, wherein the image of the acquired object is determined by the set of found spatial positions and is kept available for further processing.