An Initial-Morphogenesis Technique of Free-Form Shell Roofing Based on a Fourier Transform

NURBS can create free-form shells by specifying a number of control points and their weights. However, it is challenging to create a form that strictly passes through all the specified control points even with increased weights. This paper proposes an initial-morphogenesis technique of free-form shell roofing using a Fourier Transform. The technique can create forms that strictly pass through all the specified control points. The comparison between the proposed technique and NURBS is discussed and three examples are demonstrated.