An arrangement for three-dimensional measurement of objects comprising: a planar substrate for placing thereon at least one object to be measured; an emitting device for emitting light beams in the direction of the at least one object; a receiving device for detecting the light beams reflected from the at least one object and the substrate; and a determining device for determining 3D data on the basis of time-of-flight measurements and/or triangulation of the emitted and reflected light beams and for determining the dimensions of the outer shell of the at least one object from the determined 3D data; a transparent plate, in particular transparent plastic plate, having a predetermined thickness for placement between the at least one object and the substrate, the thickness being higher than a measurement inaccuracy range forming on the substrate, preferably the thickness being in a range between 1 and 50 millimeters, more preferably in a range between 1 and 8 millimeters, wherein the determining device corrects the determined 3D data or the determined dimensions of the outer shell of the at least one object by the thickness of the transparent plate in that the determining device first determines 3D data of the at least one object to be measured together with the transparent plate and the substrate, which serves as reference surface; characterized in that the determining device determines a virtual, planar separation plane running parallel to the reference surface and spaced apart from the latter by at least the thickness; the determining device separates and eliminates the determined 3D data between the separation plane and the reference surface from the remaining determined 3D data; and the determining device determines the dimensions of the outer shell of the at least one object on the basis of the remaining 3D data. a planar substrate for placing thereon at least one object to be measured; an emitting device for emitting light beams in the direction of the at least one object; a receiving device for detecting the light beams reflected from the at least one object and the substrate; and a determining device for determining 3D data on the basis of time-of-flight measurements and/or triangulation of the emitted and reflected light beams and for determining the dimensions of the outer shell of the at least one object from the determined 3D data; a transparent plate, in particular transparent plastic plate, having a predetermined thickness for placement between the at least one object and the substrate, the thickness being higher than a measurement inaccuracy range forming on the substrate, preferably the thickness being in a range between 1 and 50 millimeters, more preferably in a range between 1 and 8 millimeters, wherein the determining device corrects the determined 3D data or the determined dimensions of the outer shell of the at least one object by the thickness of the transparent plate in that the determining device first determines 3D data of the at least one object to be measured together with the transparent plate and the substrate, which serves as reference surface; characterized in that the determining device determines a virtual, planar separation plane running parallel to the reference surface and spaced apart from the latter by at least the thickness; the determining device separates and eliminates the determined 3D data between the separation plane and the reference surface from the remaining determined 3D data; and the determining device determines the dimensions of the outer shell of the at least one object on the basis of the remaining 3D data.