We present two new pre-processing techniques that improve thin plate Digital Elevation Model (DEM) approximations from grid-based contour data. One method computes gradients from an initial interpolated or approximated surface. The aspects are used to create gradient lines that are interpolated using Catmull-Rom splines. The computed elevations are added to the initial contour data set. Thin pl...

The thin plate spline (TPS) is an e ective tool for modeling coordinate transformations that has been applied successfully in several computer vision applications. Unfortunately the solution requires the inversion of a p p matrix, where p is the number of points in the data set, thus making it impractical for large scale applications. As it turns out, a surprisingly good approximate solution is...

geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. the material model is of boltzmann superposi¬tion principle type. a third-order displacement field is used to model the shear deformation effects. for the solution of the nonlinear governing equations the dynamic relaxation (dr) iterative method together with the finite difference discretizati...

This paper presents a nonstationary structural spatial model that explicitly sets the data to evolve across a rectangular lattice constrained by secondorder smoothing restrictions. The model exemplifies the concept of model-based spatial smoothing and, in particular, it provides a rationale for the popular discrete thin-plate smoothing method. We show how to use a frequency-domain approach in o...

Based on a non classical plate theory, an analytical model is proposed for the first time to analyze free vibration problem of partially cracked thin isotropic submerged plate in the presence of thermal environment. The governing equation for the cracked plate is derived using the Kirchhoff’s thin plate theory and the modified couple stress theory. The crack terms are formulated using simplifie...

This paper describes a new approach which can be used to interpret the experimental creep deformation data obtained from miniaturized thin plate bending specimen test to the corresponding uniaxial data based on an inversed application of the reference stress method. The geometry of the thin plate is fully defined by the span of the support, l, the width, b, and the thickness, d. Firstly, analyt...

Performing a craniotomy will cause brain tissue to shift. As a result of the craniotomy, the accuracy of stereotactic localization techniques is reduced unless the brain shift can be accurately measured. If an ultrasound probe is tracked by a 3D optical tracking system, intraoperative ultrasound images acquired through the craniotomy can be compared to pre-operative MRI images to quantify the s...

The qualitative and quantitative comparison of preand postoperative image data is an important possibility to validate computer assisted surgical procedures. Due to deformations after surgery a non-rigid registration scheme is a prerequisite for a precise comparison. Interactive landmark-based schemes are a suitable approach. Incorporation of a priori knowledge about the anatomical structures t...

We describe the Nimrod/O distributed optimization tool and its application to a problem in mechanical design. The problem is to determine the shape for a hole in a thin plate under load that gives optimal life in the presence of flaws. The experiment reveals two distinct design strategies for optimizing this life. Nimrod/O is able to find both of these rapidly due to its inherent parallelism.

Given three regular space curves r1(t), r2(t) r3(t), t ∈ [ 0, 1 ] that define a curvilinear triangle, we consider the problem of constructing a C triangular surface patch R(u1, u2, u3) bounded by these three curves, such that they are geodesics of the constructed surface. Results from a prior study [6] concerned with tensor–product patches are adapted to identify constraints on the given curves...