The introduction of the joint image manifold allows to treat the problem of recovering camera motion and epipolar geometry as the problem of fitting a manifold to the data measured in a stereo pair. The manifold has a singularity and boundary, therefore care must be taken when fitting it. This paper reviews the notion of joint image manifold, and how previous motion recovery methods can be view...

A numerical method based on cubic spline with exponential fitting factor is given for the selfadjoint singularly perturbed two-point boundary value problems. The scheme derived in this method is second-order accurate. Numerical examples are given to support the predicted theory.

The problem of parametrizing 3D data points is fundamental for many applications in computer-aided geometric design, e.g. surface fitting, texture mapping, and remeshing. We present a new method for constructing a global parametrization of a triangulated (topologically disklike) surface over a planar region with minimal distortion. In contrast to many existing approaches which need the boundary...

Experimental data from four field campaigns are used to explore the variability of the bulk Richardson number of the entire planetary boundary layer (PBL), Ribc, which is a key parameter for calculating the PBL height (PBLH) in numerical weather and climate models with the bulk Richardson number method. First, the PBLHs of three different thermally stratified boundary layers (i.e., strongly sta...

In this paper, we propose a novel adaptive mesh fitting algorithm that fits a triangular model with G1 smoothly stitching bi-quintic Bézier patches. Our algorithm first segments the input mesh into a set of quadrilateral patches, whose boundaries form a quadrangle mesh. For each boundary of each quadrilateral patch, we construct a normal curve and a boundary-fitting curve, which fit the normal ...

in this paper, some applications of the method of least squares (mls) for the solution of various problems in electromagnetics engineering is briefly reviewed. here, mls is employed for the solution of various problems such as solution of equations, curve fitting to measured data, generalized fourier coefficients, linear operator equations, inegro-differential equations, electrostatics and magn...

Keywords: Traditional finite element method Elliptic equation with matrix-valued coefficients Body-fitting grids Sharp-edged interface Symmetric positive definite a b s t r a c t The traditional finite element method has a number of nice properties, and thus it is highly desired for matrix-valued coefficient elliptic equations with sharp-edged interfaces. However , its efficient implementation ...

Rice (1984) proposed a boundary modified kernel regression method which linearly combines two kernel regression estimators based on different bandwidths. In the context of density estimation, advantages of this method over two other popular approaches, local linear fitting and the boundary kernels of Müller (1991), are discussed. Selection of the ratio of the two bandwidths is studied. Asymptot...