Continued Fractal Function In CG & Image Processing

The repairing of damaged image is an important research field in image processing. The technique of image inpainting is used widely in many fields such as repairing of damaged medical images, ancient artifact and removing of scratches and spots of dust on films.Thiele type continued fraction interpolation is used to interpolate pixels around damaged part of the regular texture aiming at repairing the texture based on the regular inpainting method. Bisection is used when whole information and details are needed in sampling. Thiele type continued fraction interpolation is not an ideal method in the case of irregular damaged region Newton-Thiele type contined fraction is put forword to solve this problem. Point window is also used in the process of sampling. Since the continued fraction has the feature of details recovering, it is powerful when the texture has many details. Experimental results show that the image inpainted by this method is better than the one inpainted via Photoshop and many popular methods. This method is an easy and effective way to repair the image.Texture has traditionally been used to add realism to computer graphics images. In order to make the textures look more real, people use some procedural definitions of the color variation for adding surface texture to the objects in a scene. This approach has been used to simulate lots of natural things such as marble patterns and wood grains etc. Since the interpolant method used in the noise function isn't so useful in some applications, especially the process of smoothing. A rational function in terms of continued fractions is put forward to serve as the interpolant in the noise function, this method has been proved to be a good one.