Two methods for registering laser-scans of human heads and transforming them to a new semantically consistent topology defined by a user-provided template mesh are described. Both algorithms are stated within the Iterative Closest Point framework. The first method is based on finding landmark correspondences by iteratively registering the vicinity of a landmark with a re-weighted error function...

We present in this paper an algorithm for surface reconstruction using thin plate splines on scattered patches or points on smooth surfaces. The algorithm is an improved version of Szeliski’s Variational Spline Fitting algorithm (SVSF). In particular, we introduce a different derivation of the discrete equations for the energy corresponding to the thin plat model. The results obtained on simula...

We present two new methods for approximating elevation data from contours to a grid. The first repeatedly interpolates new contour lines between the original ones. The second starts with any interpolated or approximated surface, determines its gradient lines, and does a Catmull-Rom spline interpolation along them to improve the elevations. We compare the new methods to a more classical thin-pla...

This study focuses on evaluating the suitability of three interpolation methods in terms of their accuracy, for small urban catchments. The Bridgewater Creek catchment in south Brisbane is the region of study. Thirteen storm events measured over 24-hours are interpolated using an inverse-distance weighted average method, thin plate smoothing spline, and an ordinary kriging technique. The delete...

Abstract The angle of the underwater towed body is very important when it passively. steady calculated by cubic spline interpolation and CFD. Generally, in order to obtain a stable pitch angle, necessary adjust tail rudder plate. With this method, can be obtained quickly effectively, which used as reference for corresponding scheme design.

Infinitesimal deformations of a homogeneous and isotropic thick elastic plate have been analyzed by using a meshless local Petrov– Galerkin (MLPG) method and a higher-order shear and normal deformable plate theory (HONSDPT). Radial basis functions (RBF) are employed for constructing trial solutions, while a spline function is used as the weight function over a local subdomain. The present metho...

The recently developed multiscale kernel of R. Opfer is applied to approximate numerical derivatives. The proposed method is truly mesh-free and can handle unstructured data with noise in any dimension. The method of Tikhonov and the method of L-curve are employed for regularization; no information about the noise level is required. An error analysis is provided in a general setting for all dim...

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...

We extend Schoenberg’s family of polynomial splines with uniform knots to all fractional degrees α > −1. These splines, which involve linear combinations of the one-sided power functions x+ = max(0, x) α, are α-Hölder continuous for α > 0. We construct the corresponding B-splines by taking fractional finite differences and provide an explicit characterization in both time and frequency domains....

Bayesian hierarchical models have been used for smoothing splines, thin-plate splines, and L-splines. In analyzing high dimensional data sets, additive models and backfitting methods are often used. A full Bayesian analysis for such models may include a large number of random effects, many of which are not intuitive, so researchers typically use noninformative improper or nearly improper priors...