Deterministic and stochastic state model of right generalized cylinder (RGC-sm): application in computer phantoms synthesis
RGC-sm is a state model proposed to describe complex-shaped objects within the family of right generalized cylinders (RGCs). A continuous deformation of a planar curve (contour) along the object's axis describes its surface. The contour, locally orthogonal to the axis, is modeled by a finite Fourier series (FS). The zero-order FS harmonics (contour centers) define the axis. The object is divided into sections of variable length where the variation rule of the shape remains unchanged. Very concise description of a RGC family having the same statistical properties is obtained by applying an auto-regressive stochastic model to state variables. RGC-sm gives access to morphological parameters such as curvature and torsion of the axis, area of cross-sections, and volume of a cylinder segment. Its usefulness is illustrated in synthesis of vascular phantoms and in segmentation/quantification of real vascular images. It can also be used in other fields such as classification and pattern recognition. (C) 2003 Elsevier Inc. All rights reserved.
state model generalized cylinder phantom synthesis segmentation 3d image analysis blood vessel