Three integral components to build a tutoring system for echocardiography are presented. A mathematical time-varying model for vessel-representations of the human heart, based on cubic B-Splines and wavelets facilitating the extraction of arbitrarily detailed anatomical boundaries. A dedicated ontology framework the model is embedded into enabling efficient (meta-)data management as well as the...

Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the construction of smooth fractal functions, with the help of Hermite osculatory polynomials. As a consequence of the process, we generalize any s...

software quality attribute and Software reliability estimation is a hard problem to solve accurately. However for management of software quality and standard practice of the organization, accurate reliability estimation is important. Non-homogeneous Poisson Process (NHPP) models and Artificial Neural Network (ANN) models are among the most important software reliability growth models. In this p...

When resampling a digital image by uniform cubic B-splines, an output pixel is computed from a filter applied to 16 neighboring pixels of the original image or more precisely of some auxiliary matrix C. Matrix C is computed with a computational time proportional to the number of pixels of the image to be resampled; that time is substantially smaller than the computational time of the filtering ...

A spline-based modification of the previously developed Neuro-Fuzzy Kolmogorov's Network (NFKN) is proposed. In order to improve the approximation accuracy, cubic B-splines are substituted for triangular membership functions. The network is trained with a hybrid learning rule combining least squares estimation for the output layer and gradient descent for the hidden layer. The initialization of...

Three-dimensional curves are playing an increasing role in ship-hull modeling and many other areas of computer-aided design (CAD). The problem of evaluating and improving the fairness of such a curve is considered and three solutions (algorithms) are proposed representing all major methodologies currently pursued by CAD researchers: local fairing by knot removal, and local/global fairing based ...

The problems of determining the B–spline form of a C Pythagorean– hodograph (PH) quintic spline curve interpolating given points, and of using this form to make local modifications, are addressed. To achieve the correct order of continuity, a quintic B–spline basis constructed on a knot sequence in which each (interior) knot is of multiplicity 3 is required. C quintic bases on uniform triple kn...

This paper presents a method for generating a whole-body squat motion for humanoid robot HRP-4 from human motion data. We convert joint angle trajectories into linear combination of base functions which are cubic B splines. In order to take into account the interactions with the environment and the stability conditions, we added appropriate kinematics constraints to the trajectory optimization ...

This paper presents the application of a signal intensity independent registration criterion for non-rigid body registration of medical images. The criterion is defined as the weighted ratio image of two images. The ratio is computed on a voxel per voxel basis and weighting is performed by setting the ratios between signal and background voxels to a standard high value. The mean squared value o...

We describe an algorithm for constructing point sets which admit unique Lagrange and Hermite interpolation from the space S 1 3 (() of C 1 splines of degree 3 deened on a general class of triangulations. The triangulations consist of nested polygons whose vertices are connected by line segments. In particular, we have to determine the dimension of S 1 3 (() which is not known for arbitrary tria...