【关於分形插值函数的研究以及分形图像分析中的若干论题】.pdf
FRACTALINTERPOLATIONFUNCTIONSANDSOMETOPICS INFRACTALINIAGEANALYSIS GANG CHEN(SubmittedfortheDegreeofDOCTOROFPHILOsOPHY) Supervised by ProfessorZhenSHA DepartmentofAppliedMIathematirs Zhejiang University Hangzhou,Zhejiang P.R.
ACKNOWLEDGEMENT I would first like totliankmy suporvisors.Professors Guo Zhurui and Professor Sha Zhen.Itistheywhotaughtmeliowtodorescarchworkand ledneintotheexciting fields of Approximation Theory anrl Fractal Gcoinctry.
CONTENTS Acknowledgement ii Preface ini ChapterI.A survey of fractal interpolation functions 1.Introduction 2.Iterated function systems 3.Fractal interpolation functions 4.Some topics offractalinterpolationfumctions 5.Fractalreconstruction and frartalimageanalysis ChapterII.