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压电压磁复合材料中二维散射问题的解析研究 被引量:1
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作者 胡杨凡 王彪 《应用数学和力学》 CSCD 北大核心 2008年第12期1395-1410,共16页
用极化方法分析了含一二维夹杂的无限压电压磁基体中的波动散射问题.以此为目的,首先构建了二维压电压磁"相对体"的极化方法.当一般性波动退减为简谐振动时,极化方法的核心函数退减为二维谐波Green函数.利用氡变换的解析方法... 用极化方法分析了含一二维夹杂的无限压电压磁基体中的波动散射问题.以此为目的,首先构建了二维压电压磁"相对体"的极化方法.当一般性波动退减为简谐振动时,极化方法的核心函数退减为二维谐波Green函数.利用氡变换的解析方法,首次求得了二维谐波Green函数的积分表达式,该表达式在低频初始波与小尺度椭圆柱夹杂物的假设下可得到进一步的简化,并最终求得解析解.推导针对同时具有压电以及压磁效应的一般性各向异性材料进行,然后将所得的结果简化到仅针对压电复合材料的情况.以此简化解析解为基础,提供了两个算例,讨论了影响含一二维椭圆柱夹杂的PZT-5H压电陶瓷复合材料的散射截面的各种不同因素(包括夹杂的尺寸、形状效应,材料常数的影响,以及压电效应等). 展开更多
关键词 散射 压电压磁复合材料 极化方法 动力学Green函数 二维问题 氡变换 各向异性材料
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GEOMETRICALLY INVARIANT WATERMARKING BASED ON RADON TRANSFORMATION 被引量:19
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作者 CaiLian DuSidan GaoDuntang 《Journal of Electronics(China)》 2005年第3期301-306,共6页
The weakness of classical watermarking methods is the vulnerability to geometrical distortions that widely occur during normal use of the media. In this letter, a new image- watermarking method is presented to resist ... The weakness of classical watermarking methods is the vulnerability to geometrical distortions that widely occur during normal use of the media. In this letter, a new image- watermarking method is presented to resist Rotation, Scale and Translation (RST) attacks. The watermark is embedded into a domain obtained by taking Radon transform of a circular area selected from the original image, and then extracting Two-Dimensional (2-D) Fourier magnitude of the Radon transformed image. Furthermore, to prevent the watermarked image from degrading due to inverse Radon transform, watermark signal is inversely Radon transformed individually. Experimental results demonstrate that the proposed scheme is able to withstand a variety of attacks including common geometric attacks. 展开更多
关键词 版权保护 鉴别 氡变换 几何攻击 不变量形心
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Focus projection of the parabolic radon transform and multiple waves separator, elimination
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作者 张建贵 宋守根 袁修贵 《Journal of Central South University of Technology》 2002年第1期30-35,共6页
Based on the scalar wave equation, making use of the ray approximation of the reflected seismic data (CMP or CSP gathers), the authors derive respectively the projection function of the primary waves and multiple wave... Based on the scalar wave equation, making use of the ray approximation of the reflected seismic data (CMP or CSP gathers), the authors derive respectively the projection function of the primary waves and multiple waves at the near offset (CMP or CSP gathers) in the parabolic Radon transform(PRT)domain. From the geometric point, the authors prove that the energy of the reflection still distributes along hyperbola which has higher curvature in the PRT domain and becomes some energy masses. So the primary waves and the multiple waves which interweave each other in ( x, t ) domain can be completely separated, which helps the multiple waves eliminated by filtering or muting. It is important for the analysis of velocity and the separator and elimination of multiple waves. 展开更多
关键词 地震勘探 地震数据处理 CMP CSP 抛物线氡变换
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Wavelength Estimation Method Based on Radon Transform and Image Texture
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作者 LU Ying ZHUANG Xinqing +2 位作者 SUN Zhen WANG Shengzheng LIU Wei 《Journal of Shipping and Ocean Engineering》 2017年第5期186-191,共6页
以便在严肃的噪音克服差的精确性的缺点和传统的波长计算方法的非严肃的直觉说,一个修订的氡变换算法被使用建议一而不是使用近似用于波长的波浪质地直线评价。第一,雷达图象的氡变换被分析。然后,与波浪质地结合了获得它的恰当的直... 以便在严肃的噪音克服差的精确性的缺点和传统的波长计算方法的非严肃的直觉说,一个修订的氡变换算法被使用建议一而不是使用近似用于波长的波浪质地直线评价。第一,雷达图象的氡变换被分析。然后,与波浪质地结合了获得它的恰当的直线,距离在直线之间被计算得到波长。最后,算法在 PC 上与 Matlab 被规划。试验性的结果证明建议算法能与好可见性改进波长的评价精确性。 展开更多
关键词 雷达图象 氡变换 图象质地 波长
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