【摘 要】
：
Geometric iteration method,also called progressive-iterative approximation,is an iterative method with clear geometric meaning.By adjusting the control poin
论文部分内容阅读
Geometric iteration method,also called progressive-iterative approximation,is an iterative method with clear geometric meaning.By adjusting the control points of curves or surfaces iteratively,the limit curve or surface interpolates(approximates)the given data point set.In this report,we present the iterative formats of the interpolatory and approximating geometric iteration methods,show their convergence and local property,and develop the accelerating techniques.Moreover,some successful applications of the geometric iteration method are demonstrated.
其他文献
This talk will survey some recent theoretical results involving accurate signal tracking with noise-free(degenerate)dynamics in high-dimensions(infinite,in
We introduce a suite of forecasting methods which improve traditional analog forecasting by combining ideas from state-space reconstruction in dynamical sys
In recent years,geometric data is gaining increasing interest both in the academia and industry.In this talk,I will use the problem of manifold corresponden
I will discuss a data-driven stochastic approach to modeling unresolved scales in multiscale systems,in which feedback from micro-scales is represented by a
Changes in glaciers and ice sheets are expected to have a tremendous influence on sea-level rise and global climate change.Many mathematical challenges in s
Partial differential equations(PDEs)have been widely used in the mathematical modeling of physical and biological phenomena,including mixed type equations.M
A quaternion rational surface is a surface generated from two rational space curves by quaternion multiplication.The goal of this talk is to demonstrate how
Point clouds sampled from manifolds are transformed to new point clouds by Laplace-Beltrami(LB)eigenmap defined intrinsically on the manifolds which is inva
In this talk,we investigate the number of regions of a real algebraic plane curve C defined by f(x,y)= 0 dividing the real plane R2.We obtain a relationship
This talk is concerned with the spatial dynamics of a delayed nonlocal reaction-diffusion system.We first investigate the global attractivity of equilibria