A general framework for 2D multiframe and 3D surface-to-surface motion estimation is presented in this paper. By viewing a 2D contour sequence as a pseudo 3D surface, we solve the motion estimation problem for 2D multiframe and 3D surface-to-surface in a general framework, by estimating the motion of a ”surface”. The deformation of a ”surface” is modeled using spline-based motion. This spline-b...

In this paper we present a novel method of simulating the elegant brushstrokes found in calligraphic lettering and painting. Such simulations have earlier been attempted with physically based or texture-mapped approaches, methods that succeeded in producing aesthetic, but also computationally intensive, results. We introduce a brushstroke model based on a parametric curve, the interval spline. ...

Natural phenomena that are imaged using remote sensing satellite data can be reconstructed in 3-D. This process can be accomplished either by active or passive methods. The active methods interfere with the reconstructed phenomena, either mechanically or radiometrically. The radiometric methods reconstruct the 3-D from the reflected or backscattered information about the specific objects or phe...

Piecewise polynomials of some xed degree and continuously di erentiable upto some order are known as splines or nite elements. Splines are used in applications ranging from image processing, computer aided design, to the solution of partial di erential equations via nite element analysis. The spline tting problem of constructing a mesh of nite elements that interpolate or approximate multivaria...

I discuss the production of low rank smoothers for d ≥ 1 dimensional data, which can be fitted by regression or penalized regression methods. The smoothers are constructed by a simple transformation and truncation of the basis that arises from the solution of the thinplate spline smoothing problem, and are optimal in the sense that the truncation is designed to result in the minimum possible pe...

In this paper we derive optimal subspaces for Kolmogorov n-widths in the L2 norm with respect to sets of functions defined by kernels. This enables us to prove the existence of optimal spline subspaces of arbitrarily high degree for certain classes of functions in Sobolev spaces of importance in finite element methods. We construct these spline spaces explicitly in special cases. Math Subject C...

A method based on extended cubic B-spline is proposed to solve a linear system of second-order boundary value problems. In this method, two free parameters, [Formula: see text] and [Formula: see text], play an important role in producing accurate results. Optimization of these parameters are carried out and the truncation error is calculated. This method is tested on three examples. The example...

It is often desirable to evaluate parametric spline curves at points based on their arc-length instead of the curveÕs original parameter. Techniques are presented here for computing a reparameterization curve allowing approximate arc-length evaluation. This reparameterization curve is also expressed as a spline, allowing rapid evaluation as a function of arc-length. Using composition methods de...