Yalin Wang Mathematics Department, UCLA email: [email protected] Xianfeng Gu Computer Science Department SUNY at Stony Brook emai: [email protected] Kiralee M. Hayashi Laboratory of Neuro Imaging UCLA School of Medicine email: [email protected] Tony F. Chan Mathematics Department, UCLA email: [email protected] Paul M. Thompson Laboratory of Neuro Imaging UCLA School of Medicine email: t...

There are a variety of surface types (such as meshes and implicit surfaces) that lack a natural parameterization. We believe that manifolds are a natural method for representing parameterizations because of their ability to handle arbitrary topology and represent smooth surfaces. Manifolds provide a formal mechanism for creating local, overlapping parameterization and defining the functions tha...

Many applications benefit from surface parameterization, including texture mapping, morphing, remeshing, compression, object recognition, and detail transfer, because processing is easier on the domain than on the original irregular mesh. We present a method for simultaneously parameterizing several genus-0 meshes possibly with boundaries onto a common spherical domain, while ensuring that corr...

Introduction Conclusions References

In this paper we study parameterization as a tool for both constructing and smoothing spatial triangulations. Most of the parameterization methods we study are based on convex combination maps, which have the property that the image of each interior vertex is a convex combination of its neighbours. When mapping an existing triangulation, this latter property ensures that whenever the image of t...

We present a method for estimating parameters of connectionist models that allows the model's output to fit as closely as possible to empirical data. The method minimizes a cost function that measures the difference between statistics computed from the model's output and statistics computed from the subjects' performance. An optimization algorithm finds the values of the parameters that minimiz...

This paper proposes a straightforward method of parameterizing manifold triangulations where the parameter domain is a coarser triangulation of the same topology. The method partitions the given triangulation into triangular patches bounded by geodesic curves and parameterizes each patch individually. We apply the global parameterization to remeshing and wavelet decomposition.

The main purpose of this paper is to propose a new numerical method for solving the optimal control problems based on state parameterization. Here, the boundary conditions and the performance index are first converted into an algebraic equation or in other words into an optimization problem. In this case, state variables will be approximated by a new hybrid technique based on new second kind Ch...

In order to obtain a solution to an optimal control problem‎, ‎a numerical technique based on state-control parameterization method is presented‎. ‎This method can be facilitated by the computation of performance index and state equation via approximating the control and state variable as a function of time‎. ‎Several numerical examples are presented to confirm the analytical findings and illus...

This paper investigates a procedure for identifying all efficient hyperplanes of production possibility set (PPS). This procedure is based on a method which recommended by Pekka J. Korhonen[8]. He offered using of lexicographic parametric programming method for recognizing all efficient units in data envelopment analysis (DEA). In this paper we can find efficient hyperplanes, via using the para...