Curve And Surface Fitting And Fairing Methods For B-Spline Curves And Surfaces

The thesis is composed of five chapters.In the first chapter, the author briefly introduces the background and mainworks finished by the author. The second chapter focuses on the definition ofB-spline curves and surfaces and introduces the relevant knowledge about curveand surface fitting. In the third chapter, the author summarizes fairing methods forB-spline curves and surfaces firstly. Then, a new method for fairing B-spline curvesand surfaces is presented in detail. Taking the variation of points as the unknownand the range of the variation as the constraint, this method obtains new fairedpoints after defining energy function and solving the energy function with geneticalgorithm. The examples given in this chapter show the efficiency of the method.The fourth chapter introduces the application of curve and surface fitting infish-eye lens imaging modeling and correction.In the end, the author summarizes full text, innovations, theoretic andpractical significance and prospects the research work of aftertime.