基于分形的图像场表达与图像处理应用

分形图像处理理论是一个尚未形成而又亟待研究的图像处理新理论，本文研究此理论中的几个基本理论问题：３－Ｄ自然景物表面２－Ｄ投影图像的分形投影关系；图像的分形场表达及其适宜性评价，文中以假设检验理论定量地分析了分形场表达的适宜性，并提出以拟合度Ｘ＾２检验法作为确定图像分形场无标度区间的统计量化指标，据此讨论了分形应用于图像处理的基本技术与方法，给出了分形在图像纹理分析，特征提取，目标探测和区域分割等领

FRACTAL-BASED IMAGE FIELD REPRESENTATIONAND ITS APPLICATION TO IMAGE PROCESSING

:Fractal image processing theory is a new one, which is not formulated completely and needs many studies.This article is dealing with several its basic aspects, such as. fractal projection relationship of 2D projected image of 3D natural scene surfaces, fractal field representation of image and its suitability assessment.The suitability of fractal field representation was analysed quantatiyely by hypothesis test, and taking the fitness of X2 test as statistics of scale area of fractal field was put forward. Based on the above stated the basic tech niques and methods for application of fractal field to the image processing were discussed, and some applications,such as-texture analyse,feature extrac tion, object detection and region segmentation were presented. Thei experiments have shown, that the fracted image processing opens up a new area in the research and application of image processing.