摘要提出基于渐进迭代逼近(Progressive Iteration Approximation, PIA) 的非均匀三次B
样条曲线Hermite 插值算法. 首先, 以给定数据点作为初始控制顶点, 采用累加弦长法得到节点 …

水下自主导航是实现我国海洋战略的关键技术, 水下惯性/重力匹配导航技术因其高精度,
长航时和隐蔽性等特点, 已成为水下自主导航的重要手段. 文中论述了水下惯性/重力匹配导航 …

The geometric iterative method (GIM) is widely used in data interpolation/fitting, but its slow
convergence affects the computational efficiency. Recently, much work has been done to …

Based on the Jacobi splitting of collocation matrices, we in this paper exploited the Jacobi–
PIA format for bi-cubic B-spline surfaces. We first present the Jacobi–PIA scheme in term of …

In this paper, we propose a preconditioned progressive iterative approximation for triangular
Bézier patches. Firstly, the diagonally compensated reduction is used in designing the …

The progressive iterative approximation (PIA) plays an important role in curve and surface
fitting. By using the diagonally compensated reduction of the collocation matrix, we propose …

The GS-PIA algorithm for non-uniform cubic B-spline curve interpolation has the advantages
of simplicity, stability, fast convergence and so on. In this paper, we elaborate the detailed …

非均匀三次B 样条曲线插值的GS-PIA 算法具有简单, 稳定及收敛速度较快等优点.
文中详细阐述了GS-PIA 算法的几何意义, 严格证明了算法的收敛性. 首先定义算法配置矩阵的 …

During the iterative process of the progressive iterative approximation, it is necessary to
calculate the difference between the current interpolation curve and the corresponding data …

Ocean resource has important significance for national economy and national security, and
undersea autonomous navigation is the key technology of Chinese ocean strategy …