Multifractal And Its Applied Research In Image Recognition

Multifractal analysis is a further research of the fractal theory. It uses multiple dimensions to descripe the complex geometry of the nature, instead of one dimension in fractal theory. Recently, as a important reseach area of fractal geometry, multifractal analysis is applied widely into many fields of science such as materialogy, geology, image processing and so on. It can fully consider the fractal features of different levels in the forming process of the geometry, and thus, describe the fractal structure of the geometry effectively. Image recognition, which is one of the most important contents of image processing, takes image classification and description as the main research contents, also becoming an applied science with continuous development. Applying multifractal, has become an important reseach method which some scientists use to solve complex problems of image processing.This thesis first introduces image denoising and image edge extraction methods based on multifractal analysis, and analyses the conditions that fractal features should be met in image recognition. Afterwards a multifractal analysis-based image feature extraction algorithm is proposed, which can calculate sevral multifractal spectrum features of the image. Then the experiment recognize four types of images effectively with the multifractal spectrum features. Experiment result shows that, with the image features extracted by multifactual analysis method, image recognition could get better effect and higher recognition rate. In conclusion, image feature extracted by multifractal analysis method brings new ideas for research of image recognition, and extends the applied range of multifractal analysis in image processing, which shows its theoretical significance and application value.