二叉树坐标网及其应用

给出二叉树坐标网的定义及其基本定理．利用该坐标网，把空间中的网格点一一映射到一个整数集合上，从而可以把空间中的任意点近似地映射为一个整数，而且可以任意精确。这个方法可以推广到任意有限维空间．这一映射，对图形，图象的储存、处理、传输，起着极其重要的作用。在任意有限维空间中，这一映射对任意可以用有限维向量描述的对象的储存、处理、传输，同样起着极其重要的作用。作为应用的例子，给出了三维实体，曲面的近似表示，储存，处理和打印。

The Binary Tree Coordinate Net and its Application

This article presents the define of the binary tree coordinate net and its basic theorems.This tree can map the net points of space onto a set of integers with one-one mapping based on the coordinate net binary tree,so can map any point of the space to a integer with arbitrary accuracy also.This method can be extended to any finite dimensional space. This mapping is of great importance for store, handling, transmission of graphs and pictures, and any objects also that can be described with any finite dimensional vector. The paper gives the approximate expression, store, handling and printing of three-dimensional objects,curface as its applications.