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线性四元树表示图象的距离变换
引用本文:张田文,李仲荣.线性四元树表示图象的距离变换[J].宇航学报,1991,13(2):15-20.
作者姓名:张田文  李仲荣
作者单位:哈尔滨工业大学 (张田文),哈尔滨工业大学(李仲荣)
摘    要:二元数组表示的图象使用的距离概念运用于线性四元树表示。指出棋盘距离特别适合于线性四元树。定义线性四元树的棋盘距离变换为树中各个黑四分形中心到最近边界四分形黑一白边界的距离。这里提出的距离变换算法主要特点是(1)它是一种代数方法,(2)各个四分形只计算一次距离,和(3)距离信息非常快地传递到区域内部。该算法可以推广到线性八元树表示的三维客体。

关 键 词:线性四元树  距离变换  图象处理

DISTANCE TRANSFORM FOR IMAGES REPRESENTED BY LINEAR QUADTREES
Zhang Tianwen Li Zhongrong.DISTANCE TRANSFORM FOR IMAGES REPRESENTED BY LINEAR QUADTREES[J].Journal of Astronautics,1991,13(2):15-20.
Authors:Zhang Tianwen Li Zhongrong
Institution:Harbin Institute of Technology
Abstract:The concept of distance used in binary array representations of images is applied to a linear quadtree representation. The chessboard distance is shown to be especially suitable for the linear quadtree. A chessboard distance transform for a linear quadtree is defined as the distance from the center of each BLACK quadrant to the BLACK-WHITE border of the nearest boundary quadrant. The main attributes of the distance transform algorithm presented here are (1) it is algebraic method,(2) the distance transform of each quadrant is computed only once, and (3) distance information is very quickly propagagted to the interior of the region. The algorithm can be extended to three-dimensional objects represented by linear octrees.
Keywords:Linear quadtrees  Distance transforms  Image processing  Chessboard distance  
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