Radial basis function interpolation has attracted a lot of interest in recent years. For popular choices, for example thin plate splines, this problem has a variational formulation, i.e. the interpolant minimizes a semi-norm on a certain space of radial functions. This gives rise to a function space, called the native space. Every function in this space has the property that the semi-norm of an...

This paper presents a novel patch-guided initial deformation estimation framework for improving performance of the existing registration algorithms. It is challenging for the registration algorithm to directly align two images with large anatomical shape difference, when no good initial deformation is provided. Inspired by the patch-based multi-atlases segmentation method, we propose to estimat...

The standard contact structure ξst on the unit sphere S 2n−1 = ∂D2n ⊂ Cn can be defined as the hyperplane field of complex tangencies. In other words, if we write J0 for the complex structure on (the tangent bundle of) C n, then ξst(p) = TpS 2n−1 ∩ J0(TpS 2n−1) for all p ∈ S2n−1. Conversely, given any contact structure ξ = kerα on S2n−1 (with α a 1-form such that α ∧ (dα)n−1 is a volume form de...

An overlapping domain partitioning based on adapting nodes is presented for the meshless-type methods. The decomposition of the domain is carried out based on the distribution of the nodes produced rather than the geometry of the problem. A set of adaptive nodes is first generated using the dimension reduction and equidistributing along the coordinate directions with respect to arc-length monit...

Department of Orthodontics, School of Dentistry, National Taiwan University, Taipei; Department of Orthodontics, School of Dentistry, Kaohsiung Medical University, Kaohsiung; Institute of Biomechanical Engineering, National Cheng Kung University, Tainan. Received: 3 May 2002. Revised: 3 June 2002. Accepted: 9 July 2002. Reprint requests and correspondence to: Dr. Hong-Po Chang, Department of Or...

Previously recognized color and pattern variants of adult Cichla temensis in Amazon flood pulse river environments reflect the cycling of individuals through seasonal sexual maturity and spawning. Individuals also vary in shape from blocky to fusiform. To determine if shape differences are related to patterns of fat reserve deposition and utilization, and to quantify the relationship of shape w...

In this paper, we prove that the inverse problems for 2D elasticity and for the thin plate with boundary data (finite or full measurements) are equivalent. Having proved this equivalence, we can solve inverse problems for the plate equation with boundary data by solving the corresponding inverse problems for 2D elasticity, and vice versa. For example, we can derive bounds on the volume fraction...

Abstract. Some obstacles create vulnerable situations in financial market. Overcome this unexpected situation, it is essential to reform the financial market by measuring the risk of share market. This project investigates the sensitivity of radial basis functions to construct different volatility surface by radial basis function approaches to understand the risk of share market. Different type...

A probabilistic technique for the joint estimation of background and sources in high-energy astrophysics is described. Bayesian probability theory is applied to gain insight into the coexistence of background and sources through a probabilistic two-component mixture model, which provides consistent uncertainties of background and sources. The present analysis is applied to ROSAT PSPC data (0.1-...

This study makes the first attempt to apply the Kansa method in the solution of the time fractional diffusion equations, in which the MultiQuadrics and thin plate spline serve as the radial basis function. In the discretization formulation, the finite difference scheme and the Kansa method are respectively used to discretize time fractional derivative and spatial derivative terms. The numerical...