Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications
文献类型：期刊论文
| 作者 | Wang Shoujue; Liu Xingxing |
| 刊名 | Chinese journal of electronics
 |
| 出版日期 | 2008 |
| 卷号 | 17期号:1页码:1-7 |
| 关键词 | High dimensional biomimetic informatics Biomimetic pattern recognition Pattern recognition Blurred image restoration Uneven lighting image correction |
| ISSN号 | 1022-4653 |
| 通讯作者 | Wang shoujue() |
| 英文摘要 | High dimensional biomimetic informatics (hdbi) is a novel theory of informatics developed in recent years. its primary object of research is points in high dimensional euclidean space, and its exploratory and resolving procedures are based on simple geometric computations. however, the mathematical descriptions and computing of geometric objects are inconvenient because of the characters of geometry. with the increase of the dimension and the multiformity of geometric objects, these descriptions are more complicated and prolix especially in high dimensional space. in this paper, we give some definitions and mathematical symbols, and discuss some symbolic computing methods in high dimensional space systematically from the viewpoint of hdbi. with these methods, some multi-variables problems in high dimensional space can be solved easily. three detailed algorithms are presented as examples to show the efficiency of our symbolic computing methods: the algorithm for judging the center of a circle given three points on this circle, the algorithm for judging whether two points are on the same side of a hyperplane, and the algorithm for judging whether a point is in a simplex constructed by points in high dimensional space. two experiments in blurred image restoration and uneven lighting image correction are presented for all these algorithms to show their good behaviors. |
| WOS关键词 | GEOMETRY |
| WOS研究方向 | Engineering |
| WOS类目 | Engineering, Electrical & Electronic |
| 语种 | 英语 |
| WOS记录号 | WOS:000254021300001 |
| 出版者 | TECHNOLOGY EXCHANGE LIMITED HONG KONG |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2427356 |
| 专题 | 半导体研究所 |
| 通讯作者 | Wang Shoujue |
| 作者单位 | Chinese Acad Sci, Inst Semicond, Lab Artificial Neural Networks, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang Shoujue,Liu Xingxing. Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications[J]. Chinese journal of electronics,2008,17(1):1-7. |
| APA | Wang Shoujue,&Liu Xingxing.(2008).Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications.Chinese journal of electronics,17(1),1-7. |
| MLA | Wang Shoujue,et al."Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications".Chinese journal of electronics 17.1(2008):1-7. |
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来源：半导体研究所
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