High dimensional imagery geometry and it's applications

Because of information digitalization and the correspondence of digits and the coordinates, Information Science and high-dimensional space have consanguineous relations. With the transforming from the information issues to the point analysis in high-dimensional space, we proposed a novel computational theory, named High dimensional imagery geometry (HDIG). Some computational algorithms of HDIG have been realized using software, and how to combine with groups of simple operators in some 2D planes to implement the geometrical computations in high-dimensional space is demonstrated in this paper. As the applications, two kinds of experiments of HDIG, which are blurred image restoration and pattern recognition ones, are given, and the results are satisfying.

电离层胶片频高图数字化转换与分析研究

The ionogram acquired with the ionospheric vertical sounding method is the oldest data in the history of ionospheric research. Using of modern microelectronics and computer technology to digitalize, analyse and preserve the huge amount of historical film ionogram has become more and more important and urgent. This paper introduced the progress of the film ionogram digitalization by using digital image processing technologies to correct and repair film ionogram and convert them in an exchangeable format. An analysis and conversion software, basing on this method, has been developed for the film ionogram analysis, and then it introduces the application of this software by combining the SAO Explorer program for Wuhan film ionogram and pseudo-color ionogram in Yamagawa in Japan. It shows that our method is reliable，and the developed software is used friendly and provides a positive solution in digitalization and analysis of huge amount of historical film ionogram. Firstly, we briefly introduce the film ionogram and the process of its digitalization. By observing a amount of film ionogram, we obtain some common characteristics of the digitalized film ionogram following as: (1) the image rotation are caused by scanning; (2) the vertical axis of a large number of film ionogram exist more or less tilt and bending ; (3) coordinates of the film ionogram appear the non-uniformity phenomena result from the instability of driving motor rotation and the error of altitudinal cursor orientation. Moreover, based on the characteristics of the film ionogram and the SAO Explorer software which is widely used for the digital ionogram analysis in the world, a new method has been developed for film ionogram procession. The method contains the image geometric correction and film ionogram format conversion. The image geometric correction includes such as image rotation correction, vertical correction and coordinates scale correction. After geometric correction, the BMP file format images will be converted to the SBF file format images. Then, we also discuss the data format converting methods, which include two methods of the image data mapping basing on the normalization and logarithm, and the method of the preprocessing of the noise filtering and the threshold setting. Combining with SAO Explorer software, we successfully obtain ionospheric parameters and electron profile from the converted SBF file format digital ionograms. Based on the above method, we developed the software for the film ionogram to realize its correction analysis and conversion of the image format, and then give a introduction for its function and operation. Subsequently, the software are applied into the Wuhan film ionogram which separately observed in the high solar activity year and the low in 1980s last century. The results reveal the converted SBF digital ionogram almost preserve the all echo information of the film ionogram. Furthermore, we expressly discuss the application to the Wuhan film ionogram in 1958 in order to validate the applicability and credibility of the software. And it is showed that the important information of the film ionogram are maintained into the SBF digital ionogram. It is represented that there is credibility for conversion of the software when it applied in the older film ionogram. In sum, this software could apply to the digitalization and analysis of huge amount of historical film ionogram. Last, we extended the function of the software by bring some new conversion method and used it to apply to the pseudo-color ionogram of yamagawa in Japan. The results show that the converted ionogram information basically maintain the importantly ionogram information and the error of scaling of converted SBF file format image is almost acceptable, though there is no preprocessing for the original ionogram. Hence, we could extend the applicable range of the software and apply it to all kinds of simulative ionogram imaging by improving the method and software.

天然地震转换波偏移成像方法研究

Butovskaya, a scholar of Former Soviet Union, first determined the depth of basalt layer in Tashkent Zone by using converted waves on seismogram in 1952. From then on, more and more scholars developed the comprehensive research that imaged the earth interior structures by applying converted waves information. With the digitalization of earthquake observation, The inversion imaging of complete or partial waveform record can efficiently improve inversion quality and widen its usage scope, therefore great progress is made in converted wave imaging. This paper makes a certain study in converted wave imaging on that basis. Transmitted PP waves and converted PS waves are generated when a P-wave propagates through an interface separating two media with large impedance contracts. A PS converted wave is a seismic body wave, which result from the conversion of an incident parent P wave at a boundary within the crust to a refracted S wave. The thickness of a single crustal layer can theoretically be determined by observing, with three-componented seismometer at a single station, the difference in time of the arrival of the parent P wave and the arrival of the PS converted wave. For a multilayered media, PS converted wave arrivals corresponding to each of the layers can theoretically be observed, provided the station is sufficiently from the source of the parent P wave to allow initial penetration of the P wave beneath the deepest layer considered. To avoid the difficulty of picking up transmitted P-wave and converted wave phases, this paper proposed a converted wave migration method by estimating the travel time difference between PS converted wave and PP transmitted wave. To verify its validity, we apply the converted wave PS migration algorithm to synthetic data generated by three forward modeling. The migration results indicate that PS converted wave may be migrated to reconstruct the transmitting interface. This technique is helpful to investigate the deep earth structures by using earthquake data.