1. A method for designing a component of a gas turbine engine, said component being one of a fan, a compressor, and a turbine, the method being applied by a computer for creating, from a first axisymmetrical surface, a second surface belonging to said component, said second surface having to observe at least one constraint, the method comprising: modeling, using a processor of said computer, said first axisymmetrical surface, while observing said at least one constraint with parameters, said modeling step including: discretizing, using said processor, to obtain points of said first axisymmetrical surface located at an intersection of said first axisymmetrical surface and a reference system surface; reconstructing, using said processor, said first axisymmetrical surface from said points and from said at least one constraint, said reconstructing step including defining a parameterizable curve; modifying, using said processor, at least one parameter associated to one point of said points, along a Z axis in a reference system; and recording, using said processor, said second surface in a memory of said computer; wherein said points being movable along a displacement direction, and each parameter of said parameters being a coordinate of one point of said points of said first axisymmetrical surface in said reference system; said reference system being associated with at least one portion of said component and selected for said point for modeling said second surface and so that said Z axis of said reference system coincides with the displacement direction; said parameterizable curve connecting at least two of said points located at the intersection of said first axisymmetrical surface and said reference system surface while observing at least one wireframe constraint, and being deformed by displacing the points connected by said curve along the Z axis of the reference systems associated with said points, and being connected while observing at least one surface constraint for reconstructing said first axisymmetrical surface; and said at least one wireframe constraint and said at least one surface constraint are established from said at least one constraint.