title: A three-dimensional Fourier descriptor for human body representation/reconstruction from serial cross sections.
abstract: This paper presents a three-dimensional Fourier descriptor (FD3) for shape representation/reconstruction. The FD3 is a double Fourier transform of serial cross-sectional contours of a shape in three dimensions (3D), which retains all shape information and gives a compact and invariant representation. The inverse Fourier transform of the FD3 reconstructs the original 3D shape; and it also estimates volume in the process. The upper bound of error introduced by the 3D reconstruction from the FD3 is derived in the sense of supremum norm. The FD3 method is compatible with medical imaging technologies such as computed tomography (CT) or magnetic resonance imaging (MRI). As an illustration of the FD3 methodology, a human head shape is reconstructed from its MR images.
mesh_terms: D005583:Fourier Analysis; D006801:Humans; D007091:Image Processing, Computer-Assisted; D009682:Magnetic Resonance Spectroscopy; D008953:Models, Anatomic; D014057:Tomography, X-Ray Computed