A new free-form deformation method is presented in this paper. The deformation of an object is achieved by attaching it to two parametric surfaces, namely the shape surface S u v ( , ) and the height surface H u v ( , ) . A control point or vertex of object is projected onto the shape surface along its normal and a correspondence between the point and its projection on the shape surface is esta...

This paper concerns with convergence properties of the classical proximal point algorithm for finding zeroes of maximal monotone operators in an infinite-dimensional Hilbert space. It is well known that the proximal point algorithm converges weakly to a solution under very mild assumptions. However, it was shown by Güler [11] that the iterates may fail to converge strongly in the infinite-dimen...

This paper concerns with convergence properties of the classical proximal point algorithm for nding zeroes of maximal monotone operators in an innnite-dimensional Hilbert space. It is well known that the proximal point algorithm converges weakly to a solution under very mild assumptions. However, it was shown by G uler 11] that the iterates may fail to converge strongly in the innnite-dimension...

Given an initial point, x0, sets Si for i = 1, . . . , r and their corresponding nearest point projections PSi , the method of alternating projections (MAP) attempts to finds a point in ∩i=1Si by cyclically projecting onto the sets. The original alternating projection result was due to von Neumann (1933) who was able to prove that if the sets are subspaces MAP converges in norm to P∩i=1Si . Usi...

UNLABELLED This work aimed to investigate the spatial distribution of scattered radiation doses induced by exposure to the portable X-ray, the C-arm machine, and to simulate the radiologist without a shield of lead clothing, radiation doses absorbed by medical staff at 2 m from the central exposure point. MATERIAL AND METHOD With the adoption of the Rando Phantom, several frequently X-rayed b...

Keywords--Variat ional inequalities, Projection method, Fixed point, Convergence. 1. I N T R O D U C T I O N Variational inequalities.have had a great impact and influence in the development of almost all branches of pure and applied sciences. There are a substantial number of numerical methods including projection, the WieneroHopf equations, auxiliary principle techniques for solving variation...

— In this paper, we propose a distributed algorithm to solve planar minimum time multi-vehicle rendezvous problem with non-identical velocity constraints on cyclic di-graph (topology). Motivated by the cyclic alternating projection method that can compute a point's projection on the intersection of some convex sets, we transform the minimum time rendezvous problem into finding the distance betw...