Research on the Novel Image De-noising Algorithm Based on Fractal Theory and the Multi-scale Geometric

Abstract

In this paper, we conduct research on the novel image de-noising algorithm based on fractal theory and the multi-scale geometric. Dimension is a feature of geometry. As is known to all, point is zero dimensional, straight line is one-dimensional, plane is two-dimensional. When measuring the length of the straight line segment, if use to measure per unit area of the square, is zero, the result of the measure that adopted by the scale is too large, Similarly, when measuring circular surface area, if to measure with unit length of the line, to infinity, the result of the measure adopted by the scale is too thin. With this theoretical support, we propose the novel research on the de-noising algorithm that could integrate the advantages of the multi-scale geometric which is meaningful.In this paper, we conduct research on the novel image de-noising algorithm based on fractal theory and the multi-scale geometric. Dimension is a feature of geometry. As is known to all, point is zero dimensional, straight line is one-dimensional, plane is two-dimensional. When measuring the length of the straight line segment, if use to measure per unit area of the square, is zero, the result of the measure that adopted by the scale is too large, Similarly, when measuring circular surface area, if to measure with unit length of the line, to infinity, the result of the measure adopted by the scale is too thin. With this theoretical support, we propose the novel research on the de-noising algorithm that could integrate the advantages of the multi-scale geometric which is meaningful.