Rotation Scaling and Translation Invariants of 3D Radial Shifted Legendre Moments
文献类型：期刊论文
| 作者 | Mostafa El Mallahi2; Jaouad El Mekkaoui1; Amal Zouhri2; Hicham Amakdouf2; Hassan Qjidaa2 |
| 刊名 | International Journal of Automation and Computing
 |
| 出版日期 | 2018 |
| 卷号 | 15期号:2页码:169-180 |
| 关键词 | 3D radial complex moments 3D radial shifted Legendre radial moments radial shifted Legendre polynomials 3D image reconstruction 3D rotation scaling translation invariants 3D image recognition computational complexities. |
| ISSN号 | 1476-8186 |
| DOI | 10.1007/s11633-017-1105-8 |
| 英文摘要 | This paper proposes a new set of 3D rotation scaling and translation invariants of 3D radially shifted Legendre moments. We aim to develop two kinds of transformed shifted Legendre moments: a 3D substituted radial shifted Legendre moments (3DSRSLMs) and a 3D weighted radial one (3DWRSLMs). Both are centered on two types of polynomials. In the first case, a new 3D radial complex moment is proposed. In the second case, new 3D substituted/weighted radial shifted Legendre moments (3DSRSLMs/3DWRSLMs) are introduced using a spherical representation of volumetric image. 3D invariants as derived from the suggested 3D radial shifted Legendre moments will appear in the third case. To confirm the proposed approach, we have resolved three issues. To confirm the proposed approach, we have resolved three issues: rotation, scaling and translation invariants. The result of experiments shows that the 3DSRSLMs and 3DWRSLMs have done better than the 3D radial complex moments with and without noise. Simultaneously, the reconstruction converges rapidly to the original image using 3D radial 3DSRSLMs and 3DWRSLMs, and the test of 3D images are clearly recognized from a set of images that are available in Princeton shape benchmark (PSB) database for 3D image. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/42400]  |
| 专题 | 自动化研究所_学术期刊_International Journal of Automation and Computing |
| 作者单位 | 1.Department of Mathematics and Computer Science, Polydisciplinary Faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco 2.Faculty of Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco |
| 推荐引用方式 GB/T 7714 | Mostafa El Mallahi,Jaouad El Mekkaoui,Amal Zouhri,et al. Rotation Scaling and Translation Invariants of 3D Radial Shifted Legendre Moments[J]. International Journal of Automation and Computing,2018,15(2):169-180. |
| APA | Mostafa El Mallahi,Jaouad El Mekkaoui,Amal Zouhri,Hicham Amakdouf,&Hassan Qjidaa.(2018).Rotation Scaling and Translation Invariants of 3D Radial Shifted Legendre Moments.International Journal of Automation and Computing,15(2),169-180. |
| MLA | Mostafa El Mallahi,et al."Rotation Scaling and Translation Invariants of 3D Radial Shifted Legendre Moments".International Journal of Automation and Computing 15.2(2018):169-180. |
入库方式： OAI收割
来源：自动化研究所
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