This article presents a new approach to build a kinetic elastic model of the coronar,, tree. Our purpose is to use this model in order to achieve spatio-temporal understanding of the cardiovascular dynamics. A semantic network was developed to make a static structural model. Then, to estimate the motion, the network uses a Kalman filtering device guided by the trajectory model. The vessel defor...

The local volatility function is approximated using two different models: a bicubic spline and High Dimensional Model Representation (HDMR) model. For a bicubic spline the local volatility values σi at a chosen discrete set of knots are determined by minimizing the least square error between market and model option prices. Model option prices are found using the one-factor diffusion process for...

This article describes a F0 curve estimation scheme based on a B-spline model1. We compare this model with more classical spline representation. The free parameters of both models are the number of knots and their location. An optimal location is proposed using a simulated annealing strategy. Experiments on real F0 curves confirm the adequacy and good performance of the B-spline approach, estim...

Simulations that generate very large data sets in one and many dimensions are increasingly common. Nonparametric density estimates based on these data sets are often required and estimators that can be generated and manipulated efficiently are needed. In computer graphics, for example, nonparametric density estimates over surfaces can be used to represent lighting functions [1]. These simulatio...

Computer Aided Design (CAD) software libraries rely on the tensor-product NURBS model as standard spline technology. However, in applications of industrial complexity, this mathematical model does not provide sufficient flexibility as an effective geometric modeling option. In particular, the multivariate tensor–product construction precludes the design of adaptive spline representations that s...

a number of 5558 lambing records of 2245 mehraban ewes, collected during years 1995 to 2010 were utilized to estimate the variance components and heritability for the number of lambs per lambing,  making use of b-spline random regression models. the fixed factors affecting the studied trait were identified using general linear model analysis as well as sas software, where flock-year-season and ...

This paper presents a mixed-integer quadratically constrained programming (MIQCP) formulation for B-spline constraints. The formulation can be used to obtain an exact MIQCP reformulation of any spline-constrained optimization problem. This reformulation allows practitioners to use a general-purpose MIQCP solver, instead of a special-purpose spline solver, when solving B-spline constrained probl...