The contour shaping cap device is made of a fiber-reinforced material or comprises a fiber-reinforced material. By use of such fiber-reinforced material a sufficient rigidity may be provided especially at those sections of the contour shaping cap device where such rigidity shall be provided and maintained, respectively. Use of a fiber-reinforced material provides especially an increased amount of bending resistance for the at least two parts of the contour shaping cap device. The at least two parts of the contour shaping cap device are especially shaped as two half-shells. It is further advantageous to shape the half-shells as modules mating with each other such that any of the half-shells can be connected with any of the other half-shells. It is further advantageous to shape the half-shells as common parts or same parts having modular design where only one half-shell has to be shaped and produced which can be connected with the each other since all half-shells are respective common or same parts possibly only having different sizes. This reduces the costs of production of such half-shells or contour shaping cap devices, respectively. Any of the produced half-shells can be connected with any of the other produced half-shells of the same size. The shaping of the half-shells can be varied by amending the angle of bending such that, for example, half-shells having an angle of 90°, half-shells having an angle of 45°, half-shells having an angle of 60°, half-shells having an angle of 30° etc. may be produced where the respective half-shells can be connected with the respective commonly produced half-shells. Such modular design allows a reduction of costs as compared to the prior art solutions.