Stationary interpolatory subdivision schemes for Hermite data that consist of function values and first derivatives are examined. A general class of Hermite-interpolatory subdivision schemes is proposed, and some of its basic properties are stated. The goal is to characterise and construct certain classes of nonlinear (and linear) Hermite schemes. For linear Hermite subdivision, smoothness cond...

We describe a new method for analyzing, classifying, and evaluating filters that can be applied to interpolation filters as well as to arbitrary derivative filters of any order. Our analysis is based on the Taylor series expansion of the convolution sum. Our analysis shows the need and derives the method for the normalization of derivative filter weights. Under certain minimal restrictions of t...

We describe a new technique to extract the boundary of a walking subject, with ability to predict movement in missing frames. This paper uses a level sets representation of the training shapes and uses an interpolating cubic spline to model the eigenmodes of implicit shapes. Our contribution is to use a continuous representation of the feature space variation with time. The experimental results...

New methods of filtering of experimental data curves, based on the artificial neural networks and the wavelet analysis are presented in the paper. The thermomagnetic data curves were filtered using these methods. The obtained results were validated using the modified algorithm of the cubic spline approximation.

We have developed a framework for simulating muscles and tendons using a dynamic modeling primitive, a “strand,” based on cubic spline curves with inertia [Sueda et al. 2008]. With this framework, we do not require moment-arm data; the tendons are simulated dynamically as stiff hyper-elastic strands simultaneously with the bones. We are able to simulate the dynamics of the intricate mechanisms ...

In this paper we describe a metho.d. for estimating boundaries between percep~ually d1stmct regions in an image. The method 1S a two step procedure which first identifies image regions ~hich exhibit uniformity. Boundaries between umform regions are approximated by a complete cubic spline function and the linear recursive filter is used to estimate the values of the function at the knots. Bounda...

Advancing further the theory of the optimal edge detector, as has been developed by Canny and Spacek, we derive the 'definitive' optimal edge operator. We show that the cubic spline approximation is, in practice, as good as the optimal edge detector.

This paper presents cubic spline interpolation based trajectory planning method which is aiming to achieve smooth biped robot walking trajectory. We first characterize the bipedal walking cycle and point out some major issues that need to be addressed to plan a continuous swing leg trajectory by using the concept of cubic polynomial and cubic spline interpolation. By applying these interpolatio...

A tool for user choice of the local bandwidth function for a kernel density estimate is developed using KDE, a graphical object-oriented package for interactive kernel density estimation written in LISP-STAT. The bandwidth function is a cubic spline, whose knots are manipulated by the user in one window, while the resulting estimate appears in another window. A real data illustration of this me...

Every m th order cardinal spline wavelet is a linear combination of the functions fN (l) m+l (2x?j); j 2 Zg. Here the function N m is the m th order cardinal B-spline. In this paper we prove that the single function N (l) m+l (2x), or N (l) m+l (2x ? 1) is a wavelet when m and l satisfy some mild conditions. As l decreases, so does the support of the wavelet. When l increases, the smoothness of...