A method for manufacturing a part, the part being a blading, the method being characterised in that it comprises: - modelling at least one portion of the part, the part portion being a sectional portion of the blade of the blading or a height portion of the blade of the blading, comprising the implementation, by data processing means of a piece of equipment, of steps of: (a) parameterising a curve of class C 1 representing the value of a physical quantity characterising said part as a function of a position along at least one portion of the part, said physical quantity having an aeromechanical and/or acoustic meaning for the design of the part, said characteristic physical quantity of said blading is selected from among the thickness of the blading, the skeleton, the skeleton angle law of a section of a blade of the blading, the maximum thickness law, the position law of the maximum thickness, the sag and dihedral angles, the stacking law, and the upstream/downstream angles of the blade of the blading along the height, the curve being defined by: a. two end points (PCU 0, PCU K) defining the extent of said portion of the part; b. at least one intermediate point (PCU i, i ∈ 1, K - 1) positioned between the end points (PCU 0, PCU K); c. at least two Bezier curves connected at said intermediate point; the parameterisation being applied according to one or several parameters defining said intermediate point; (b) determining optimised values of said parameters of said curve for a criterion selected from among the resistance to mechanical stresses, the frequency responses of the vane, the displacements of the blade, aerodynamic properties such as efficiency, pressure rise, flow capacity or surge margin; (c) outputting determined values on an interface of said piece of equipment; - manufacturing said part according to the modelling of the at least one portion of the part obtained. - modelling at least one portion of the part, the part portion being a sectional portion of the blade of the blading or a height portion of the blade of the blading, comprising the implementation, by data processing means of a piece of equipment, of steps of: (a) parameterising a curve of class C 1 representing the value of a physical quantity characterising said part as a function of a position along at least one portion of the part, said physical quantity having an aeromechanical and/or acoustic meaning for the design of the part, said characteristic physical quantity of said blading is selected from among the thickness of the blading, the skeleton, the skeleton angle law of a section of a blade of the blading, the maximum thickness law, the position law of the maximum thickness, the sag and dihedral angles, the stacking law, and the upstream/downstream angles of the blade of the blading along the height, the curve being defined by: a. two end points (PCU 0, PCU K) defining the extent of said portion of the part; b. at least one intermediate point (PCU i, i ∈ 1, K - 1) positioned between the end points (PCU 0, PCU K); c. at least two Bezier curves connected at said intermediate point; the parameterisation being applied according to one or several parameters defining said intermediate point; (b) determining optimised values of said parameters of said curve for a criterion selected from among the resistance to mechanical stresses, the frequency responses of the vane, the displacements of the blade, aerodynamic properties such as efficiency, pressure rise, flow capacity or surge margin; (c) outputting determined values on an interface of said piece of equipment; (a) parameterising a curve of class C 1 representing the value of a physical quantity characterising said part as a function of a position along at least one portion of the part, said physical quantity having an aeromechanical and/or acoustic meaning for the design of the part, said characteristic physical quantity of said blading is selected from among the thickness of the blading, the skeleton, the skeleton angle law of a section of a blade of the blading, the maximum thickness law, the position law of the maximum thickness, the sag and dihedral angles, the stacking law, and the upstream/downstream angles of the blade of the blading along the height, the curve being defined by: a. two end points (PCU 0, PCU K) defining the extent of said portion of the part; b. at least one intermediate point (PCU i, i ∈ 1, K - 1) positioned between the end points (PCU 0, PCU K); c. at least two Bezier curves connected at said intermediate point; the parameterisation being applied according to one or several parameters defining said intermediate point; a. two end points (PCU 0, PCU K) defining the extent of said portion of the part; b. at least one intermediate point (PCU i, i ∈ 1, K - 1) positioned between the end points (PCU 0, PCU K); c. at least two Bezier curves connected at said intermediate point; (b) determining optimised values of said parameters of said curve for a criterion selected from among the resistance to mechanical stresses, the frequency responses of the vane, the displacements of the blade, aerodynamic properties such as efficiency, pressure rise, flow capacity or surge margin; (c) outputting determined values on an interface of said piece of equipment; - manufacturing said part according to the modelling of the at least one portion of the part obtained.