A system for capturing measurement images of a measurement object, comprising a mobile electronic device, the mobile electronic device comprising: - a housing, - a camera integrated in the housing for recording measurement images of a measurement object within an observation range of the camera, - a screen integrated in the housing for the light-emitting display of images, the screen facing the observation range of the camera, - a control unit integrated in the housing, the control unit configured to control the screen of the mobile electronic device to display a plurality of different illumination images of a predefined illumination image sequence one after the other, the control unit configured to control the camera of the mobile electronic device to capture a measurement image of the measurement object synchronously with displaying of each illumination image of the predefined illumination image sequence, each of the measurement images containing a plurality of pixels and image data which are associated with the pixels, the system comprising an evaluation unit (13, 14), characterized in that the evaluation unit (13, 14) is configured to merge the pixels of the measurement images by means of image registration and to combine the image data of merged pixels into measurement data sets, wherein the merged pixels form a registered measurement image, the pixels of which contain the respectively associated measurement data sets, wherein the evaluation unit (13, 15) is configured, by means of an object recognition algorithm in the registered measurement image, to recognize object pixels each depicting an object point of the measurement object, wherein the evaluation unit (13, 15) is configured to check, based on a first pixel which is defined as an assumed object pixel, how much the measurement data sets of neighboring pixels deviate from the measurement data set of the first pixel, and also to classify only those neighboring pixels as object pixels, whose measurement data sets have a sufficiently small deviation from the measurement data set of the first pixel, and to continue the object recognition algorithm respectively based on recognized object points, until no further pixels can be classified as object pixels in this way. - a housing, - a camera integrated in the housing for recording measurement images of a measurement object within an observation range of the camera, - a screen integrated in the housing for the light-emitting display of images, the screen facing the observation range of the camera, - a control unit integrated in the housing, the control unit configured to control the screen of the mobile electronic device to display a plurality of different illumination images of a predefined illumination image sequence one after the other, the control unit configured to control the camera of the mobile electronic device to capture a measurement image of the measurement object synchronously with displaying of each illumination image of the predefined illumination image sequence, each of the measurement images containing a plurality of pixels and image data which are associated with the pixels, the system comprising an evaluation unit (13, 14), characterized in that the evaluation unit (13, 14) is configured to merge the pixels of the measurement images by means of image registration and to combine the image data of merged pixels into measurement data sets, wherein the merged pixels form a registered measurement image, the pixels of which contain the respectively associated measurement data sets, wherein the evaluation unit (13, 15) is configured, by means of an object recognition algorithm in the registered measurement image, to recognize object pixels each depicting an object point of the measurement object, wherein the evaluation unit (13, 15) is configured to check, based on a first pixel which is defined as an assumed object pixel, how much the measurement data sets of neighboring pixels deviate from the measurement data set of the first pixel, and also to classify only those neighboring pixels as object pixels, whose measurement data sets have a sufficiently small deviation from the measurement data set of the first pixel, and to continue the object recognition algorithm respectively based on recognized object points, until no further pixels can be classified as object pixels in this way.