SYMBOLIC VERSOR COMPRESSION ALGORITHM
文献类型：期刊论文
| 作者 | Li Hongbo
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 29期号:4页码:991-1004 |
| 关键词 | Clifford algebra orthogonal transformation symbolic computation Grassmann-Cayley algebra versor compression |
| ISSN号 | 0252-9602 |
| 英文摘要 | In an inner-product space, an invertible vector generates a reflection with respect to a hyperplane, and the Clifford product of several invertible vectors, called a versor in Clifford algebra, generates the composition of the corresponding reflections, which is an orthogonal transformation. Given a versor in a Clifford algebra, finding another sequence of invertible vectors of strictly shorter length but whose Clifford product still equals the input versor, is called versor compression. Geometrically, versor compression is equivalent to decomposing an orthogonal transformation into a shorter sequence of reflections. This paper proposes a simple algorithm of compressing versors of symbolic form in Clifford algebra. The algorithm is based on computing the intersections of lines with planes in the corresponding Grassmann-Cayley algebra, and is complete in the case of Euclidean or Minkowski inner-product space. |
| 语种 | 英语 |
| WOS记录号 | WOS:000272545200014 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8504]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Li Hongbo |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li Hongbo. SYMBOLIC VERSOR COMPRESSION ALGORITHM[J]. ACTA MATHEMATICA SCIENTIA,2009,29(4):991-1004. |
| APA | Li Hongbo.(2009).SYMBOLIC VERSOR COMPRESSION ALGORITHM.ACTA MATHEMATICA SCIENTIA,29(4),991-1004. |
| MLA | Li Hongbo."SYMBOLIC VERSOR COMPRESSION ALGORITHM".ACTA MATHEMATICA SCIENTIA 29.4(2009):991-1004. |
入库方式： OAI收割
来源：数学与系统科学研究院
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