第二代小波

• The lifting scheme is the method to construct second generation wavelets . compared to the mallat algorithm , it has the advantages of less computation time , in - place operation and so on , so the jpeg2000 standard recommends the lifting scheme to compute the discrete wavelet transforms
  提升算法是第二代小波变换的构造方法,和传统的mallat算法相比具有计算量小,原位运算等优点,因此jpeg2000标准也推荐采用提升算法来实现离散小波变换。
• The essay , fist of all , based on the fundamental principle of image compression , deal with the chief approach to the processing technology and the research on image compression . and then in the light of wavelet theory , the principles , fuctions and the coding approach of jpeg2000 are systematically demonstrated and analyzed in the essay . consequently , on the base of the central processing of jpeg2000 , in wavelet transformation is brought formard the lifting scheme , witch is the key techniqut in constructing the wavelet of the 2nd generation . with the improved lifting scheme applied to jpeg2000 , the expected good result of the experiment is achieved , which lay a solid ground fo the further application of the new norm
  其次，在小波理论的基础上，对jpeg2000标准的基本理论基础和框架进行了较为系统的研究，较为详细的论述了ebcot编码理论原理。最后，以jpeg2000的核心算法为基础，从理论到实现方式上进行了分析和研究，并在小波变换中系统讲述构造第二代小波的关键技术?小波的提升算法，将其应用到新的图像压缩标准中，进行了一些对比实验，取得了一定的实验结果。为新标准的更好应用打下了一定的基础。
• Abstract : this paper discusses implementation of lifting scheme for wavelet transform used in lossless compression of image on the platform of tms320c6201 dsps . the second generation wavelet transforms based on lifting scheme can construct lossless integer to integer wavelet transforms . the lifting scheme has a lot of algoritmic advantages : efficiency , parallelism , in - place calculation . so it can be well implemented on dsps . this paper also discusses improving implementation of wavelet transform . taking advantage of the fixed - point calculation performance of tms320c6201 , the implementation can calculate integer wavelet transforms using fixed - point calculation
  本文以tms320c6201芯片为平台，探讨了提升格式构造小波变换应用于图象快速无损压缩的具体实现。基于提升格式的“第二代小波变换”可以实现无损的整数到整数的小波变换，其算法的高效并行及在位计算的特性适合在dsps上实现。
• This paper mainly studied on the theory of wavelet transform based on the lifting schemethe , and proposed the double adaptive wavelet transform based on the lifting scheme for the application in the fields of the signals and image . at the same time , its application in jpeg2000 were researched
  在本文中，主要研究了基于提升格式的小波变换(第二代小波变换)理论，并分别提出了应用于信号和图像的基于提升格式的双自适应小波变换，而且研究了所提出的小波变换算法jpeg2000静态图像压缩标准中应用。
• Then through analyzing the shortcomings of the traditional wavelet , the lifting scheme using to construct the second generation wavelet is inducted . we give the algorithm of getting the coefficients of new lifting wavelet and the procedure of realizing the mallat with lifting scheme , and introduce the integer lifting scheme wavelet used to the lossless compression
  接着通过分析传统小波的不足,引入了构造第二代小波的提升方案,给出了求解提升小波变换系数的算法及用提升方案实现传统小波的过程,并介绍了可以用以实现无损压缩的整数小波变换。
• This method takes the second generation wavelet transformation as a base , using the interrelation between transformation sample and adjacent sample to detect partial feature of the signal , and according to the magnitude of related coefficient to define the optimal pre detector and re - newer of every sample in every dimension , so as to let the wavelet be able to suit fairly the partial feature of the signal
  该方法以第二代小波变换为基础，用变换样本与相邻样本之间的相关性，来检测信号的局部特征，并根据相关系数的大小，来确定每一尺度上的每个样本的最佳预测器和更新器，使小波能够较好地适应信号的局部特征。
• Because we live in a colorful nature , it is important for us to develop the color - scale mathematical morphology to processing color pictures ; in the other way , lift scheme , the second generation wavelets recently proposed by swesdens , is a useful technique for constructing new wavelet decomposition
  由于我们生活在一个有丰富色彩的自然界中，所以发展彩色形态学并将其应用于实际是非常重要的。另一方面，近几年由swesdens提出的提升格，也称做第二代小波，是一个构造小波分解，尤其是非线性小波的一个强有力的工具。
• Being as the second generation wavelet with the special algorithm structure , the lifting wavelet is proposed for improving the operation speed of traditional wavelet and reducing the memory requirement . it is also fit for adaptive 、 nonlinear 、 non oddity sampling and integer to integer transform , so it becomes a research hotspot in the information science field
  而提升小波作为第二代小波,以其独特的算法结构、快速运算能力及低存储需求,且适合于自适应、非线性、非奇异采样和整数到整数的变换等优点受到信息科学领域的广泛关注。
• Abstract : this paper describes an approach to compress medical images loss using second generation wavelets . we list our software simulation results , and compare the method with other compression methods . the comparison shows that this method has great potential in compressing medical images
  文摘:研究了第二代小波在医学图象无损压缩中的方法，并在计算机上用软件模拟实现了相应的算法，最后给出院实验结果以及与其他压缩方法的比较，从中可以看出这一新方法在医学图象无损压缩中具有的良好潜力和巨大的应用前景。
• Lifting scheme is honored as the key tool to construction of second generation wavelets . the paper proposed the new lifting scheme , experiment results demonstrate that the algorithm can acquire the better energy concertration . in the jpeg2000 codec , if it adopted the wavelet transform proposed by the paper , the better image compression quality can obtained
  提升格式是构造第二代小波的关键技术。本文提出了一种新的提升格式的设计方法，仿真实验说明该算法具有较好的能量集中特性。在jpeg2000系统中，采用此种小波变换，图像的压缩质量有一定的提高。