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This paper mainly studied the semilinear biharmonic elliptic equation with multi-singularity and critical exponcnt,in which we mainly studied,where N≥5,k∈N,(λ_1,λ_2,…,λ_k)∈R~4,(a_1,a_2,"",a_k)∈R~(4n) and 2~*=2N/N-4 is the critical Sobolev exponent.

文章主要在有界域Ω中研究了如下含多奇性的半线形椭圆型问题其中N≥5,k∈N,(λ_1,λ_1,…,λ_k)∈R~k,(a_1,a_2,…,a_k)∈R~且2~*=2N/N-4是临界的嵌入指数,由于Sobolev嵌入失去紧性,所以文章将通过集中紧原理得到正解的存在性。

But he draws a distinction between his 'technology' and methods like drugging bugs or inserting tiny metal spears into their jaws -- the insect equivalent of a razor blade in a boxing glove.

但是他将他的"技术"与给蟋蟀喂兴奋剂或在其颚上嵌入小铁刺(这就相当于给拳击手戴上了嵌入刀片的拳击手套)等方法相区别。

According to the basic principles of information theory, computer graph processing and the chromatics, this thesis mainly researches on the theory and applications of the color images watermark using the characteristics of the human visual system.

本文首先根据信息论、计算机图形处理和色彩学中的基本原理,结合人眼的视觉系统特性,对彩色图像水印的理论与应用进行了研究,然后讨论了如何对水印图像进行反色和置乱预处理,尤其是对水印嵌入过程、水印提取过程和水印攻击方法等进行了深入探讨,并最终设计实现了1套完整的具有水印嵌入与提取功能的实验软件。

According to the basic principles of information theory, computer graph processing and the chromatics, this thesis mainly researches on the theory and applications of the color images watermark using the characteristics of the human visual system. And then it discusses the preprocessing method such as Image color inversing and image disordering, especially the method of watermark embedding, watermark extracting and watermark attacking etc. At last, an experimental system about watermark embedding and extracting are accomplished.

本文首先根据信息论、计算机图形处理和色彩学中的基本原理,结合人眼的视觉系统特性,对彩色图像水印的理论与应用进行了研究,然后讨论了如何对水印图像进行反色和置乱预处理,尤其是对水印嵌入过程、水印提取过程和水印攻击方法等进行了深入探讨,并最终设计实现了一套完整的具有水印嵌入与提取功能的实验软件。

For example, a watermark is embedded in the luminance component and a cyclically shifted version thereof in the chrominance component of a video signal.

例如,将水印嵌入在视频信号的亮度分量中,并将其循环移位版本嵌入在视频信号的色度分量中。

In the discrete wavelet transform domain, the watermark information is embedded by quantifying the coefficient of the transform domain andthe watermark can be extracted without the original audio.

在离散小波变换域水印嵌入算法中,本文给出了小波变换域系数均值量化的水印嵌入方案。

This dissertation selects two-dimension binary image as watermark information, and selects audio as embedding object, and embed the watermark in the coefficient of the DFT domain, the DCT domain, the DWT domain.

本文以直观的二值图像作为水印信息,以音频数据为嵌入对象,分别在离散傅立叶变换域、离散余弦变换域、离散小波变换域的系数上嵌入水印。

The algorithm performs discrete cosine transform on sub image of host image, which is cover by visible watermarking, and compresses sub image by select the set of visually important DCT coefficients. Then, the algorithm hides the compressed sub image, which is encrypted by the hash function that is constructed by Rijndael code, in the high coefficient of wavelet domain.

算法将水印图像与宿主图像进行融合,并对隐藏子图采用DCT变换,按Zig_Zag排序保留视觉重要DCT系数的方法作压缩处理,并利用Rijndael密码构造单向Hash函数作加密处理,最终分散嵌入到宿主图像的带参数的整数小波域中的高频系数,实现了可见水印的有效嵌入

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理,并利用 Sobolev 嵌入的最佳达到函数,克服了由于 Sobolev 嵌入失紧性而带来的系列困难,证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Here two statistical methods to detecting the continuous embedding in image LSBs are proposed, which are μ test and X2 test.

提出了在嵌入信息服从均匀分布的情况下,两个基于图像时空域最低有效位连续嵌入的统计检测算法:μ检验算法和x2检验算法。

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