There is increasing interest in the recovery of generalized cylinders (GCs) with curved spines. However, existing formulations of such GCs, for example those based an the Frenet-Serret frame or the tube model, suffer serious drawbacks: discontinuities, a lack of expressive power, "narrowing" in the plane normal to the spine, non-intuitive twisting behavior, and/or off-axis nonorthogonality of their local coordinate systems. We discuss some of the problems associated with the non-orthogonality of the coordinate system based on the Frenet-Serret frame. This non-orthogonality is induced by torsion effects and we show how to correct for it. We then introduce a new model, the extruded GC (EGC) model, which overcomes all the problems mentioned above. For complex axes, the EGC model is also simpler to understand and use than existing models. The EGC model is further extended by including local surface deformations. Recovery of the deformable EGC via a physically-motivated paradigm is demonstrated on pre-segmented data from a human carotid artery.>

An algorithm for separating the specular and diffuse components of reflection from images is presented. The method uses color and polarization simultaneously to obtain strong constraints on the reflection components at each image point. Polarization is used to locally determine the color of the specular component, constraining the diffuse color at a pixel to a one-dimensional linear subspace. This subspace is used to find neighboring pixels whose color is consistent with the pixel. Diffuse color information from consistent neighbors is used to determine the diffuse color of the pixel. In contrast to previous separation algorithms, the proposed method can handle highlights that have a varying diffuse component, as well as highlights that include regions with different reflectance and material properties. Experimental results obtained by applying the algorithm to complex scenes with textured objects and strong interreflections are presented.>