V-Spline: An Adaptive Smoothing Spline for Trajectory Reconstruction

Data Driven Adaptive Spline Smoothing

In classical smoothing splines, the smoothness is controlled by a single smoothing parameter that penalizes the roughness uniformly across the whole domain. Adaptive smoothing splines extend this framework to allow the smoothing parameter to change in the domain, adapting to the change of roughness. In this article we propose a data driven method to nonparametrically model the penalty function....

Smoothing an arc spline

Arc splines are G continuous curves made of circular arcs and straight-line segments. They have the advantages that the curvature of an arc spline is known and controlled at all but a finite number of points, and that the offset curve of an arc spline is another arc spline. Arc splines are used by computer-controlled machines as a natural curve along which to cut and are used by highway route p...

Tomographic Reconstruction Using Information-Weighted Spline Smoothing

1 I n t r o d u c t i o n The CBP method for tomographic reconstruction is derived from a mathemat i cal idealization of tomographic imaging without consideration of statistical measurement errors. This idealization leads to the well-known ramp filter [1], whose frequency response has the unfortunate effect of amplifying high-frequency measurement noise. The conventional approach to reducing th...

Smoothing by Spline Functions

Spline Smoothing on Surfaces

We present a method for estimating functions on topologically and/or geometrically complex surfaces from possibly noisy observations. Our approach is an extension of spline smoothing, using a Þnite element method. The paper has a substantial tutorial component: we start by reviewing smoothness measures for functions deÞned on surfaces, simplicial surfaces and differentiable structures on such s...