Mj Set The Physical Meaning And Enhance The Image Generation Algorithm Research

Most image generation algorithms scan image pixels according to top-to-bottom and left-to-right scanning; calculate the value of every pixel. It gives no idea of how the final image will be while it is being generated, or only part of image attribute can be known. Those traditional scanning is not a good method to interactive application where the user can choose image quality freely and interfere in the rendering modifying the generation parameters. In this paper the author analyzed interlaced image, quadtree and Baptista image generation method, and then presented a new interactive image generation method: Firstly, Sampling evenly for image pixels on the base of Baptista's thinking, and evaluating the pixel's value according to image pixel distribution's geometry character of pixel's neighborhood. The experimental results show that the interpolation algorithm can reconstruct high resolution images using less data. The quality of image generation is improved, while the quantity of data transmission is reduced greatly.Based on a dynamics research of the typical Langevin problem, i.e., a moving charged particle under the continuous influence of a constant impulse in a double-well potential and a time-dependent magnetic field, using the stroboscopic sampling, we propose complex difference equations which can describe the change rule of particle's velocity. By selecting appropriate magnetic intensity and time intervals (sampling period), we reduce the difference equations to complex mapping which is used to construct the generalized M-J sets. Based on the particle's dynamics characteristic, we discuss the physical meaning of the generalized M-J sets. The author found that: (1) The fractal structure of the generalized M-J sets may visually reflect the change rule of particle's velocity; (2) Whether the selected time intervals is significative determine whether the fractal structure of the generalized M-J sets has the continuity; (3) The evolution of the generalized M-J sets, i.e., the change rule of particle's velocity, depends on the different choices of the principal range of the phase angle; (4) If we change the choices of the magnetic intensity and time intervals, for example, choose a random fluctuant magnetic field, the generalized M-J sets may present the interior-filling structure feature, i.e., "explosion" phenomena appears in the closure of the particle's instable periodic orbits in the velocity space.Firstly, paper explains some related fractal theory and concept of image processing about M-J Sets and incremental image generation. The emphasis of this paper is section four and section five, research and discuss over M-J Sets' application in Langevin problem and interactive color image generation algorithm. Finally, paper summarizes the whole paper. Correlative content about M-J Sets in this paper is published in Acta Physica Sinica, which is indexed by SCI and EI.