第三部分是冗余变换。
在这一部分分别介绍了冗余变换中的离散脊波变换、二进小波变换、曲波变换、快速曲波变换。
In this section, the discrete transform ridge redundant wavelet transform, dyadic wavelet transform, curvelet transformation, curvelet transformation have been introduced.
构造了由非抽样塔式分解和方向滤波器组实现的冗余轮廓波变换。
The redundant contourlet transform implemented by undecimated pyramidal decomposition and directional filter bank is proposed.
在深入研究视频图像冗余离散变换特征的基础上，提出一种用于视频编码运动补偿技术的小波域不规则三角形网格构造方法。
This paper discusses the feature of redundant discrete wavelet transform and proposes an irregular triangular mesh design method in wavelet domain for motion compensation in wavelet video codec.
通过采用对数极坐标映射，可将空间均匀取样得到的图像变换成非均匀取样的图像，从而减小冗余像素，压缩了搜索空间。
An uniform sampling image can be transformed to a space variant sampling image by log-polar coordinate mapping which reduces the searching space and redundant pixels.
从故障反应能力、对各类故障的灵敏度以及采用多模量时检测故障的冗余度等方面对各变换阵进行了分析比较。
Analysis and comparisons are made for those transformations according to the sensitivity and redundancy to all types of fault.
消除多级逻辑结构中冗余的逻辑连线、冗余逻辑门并进行相应的等价逻辑结构变换，实现多级逻辑优化。
Multilevel optimization is implemented by a series of logic structural transformations which delete the redundant lines and gates to improve some local structures.
为解决现有时间序列相空间重构方法中重构信息冗余的问题，本文将小波变换引入到相空间重构之中。
To solve information redundancy problem of the existing time series phase space reconstruction method, this article introduced the wavelet transform to phase-space reconstruction.
本文试用一个线性界限自动机来描述格局可变微处理机多重冗余系统的格局变换；
In this paper, a linear bounded automaton is used to describe the reconfiguration of microprocessor multiple-modular redundancy system.
基于冗余思想，提出了一种具有自修复功能多电平变换器拓扑。
Based on redundancy, a multilevel converter topology with self-repair ability was proposed.
充分利用双树复小波变换的旋转不变性、良好的方向选择性以及有限的冗余等优点，将其有效地应用于纹理特征提取过程中。
The excellent characteristics of rotation-invariance, good orientation selection and finite redundancy are fully utilized, and applied in texture feature extraction.
并且，基于冗余小波变换视频编码的框架，提出了一种多描述视频编码新方法，该方法以牺牲少量编码效率为代价，来提高编码系统的传输鲁棒性。
Furthermore, based on the redundant wavelet video coding system, a new multiple description coding scheme is proposed, which can enhance the transmission robustness with low redundancy.
提出了一种基于小波变换的块大小可变的多分辨率运动估计方法(VBMRME)，以减少图象间的时间冗余。
A scheme of variable block size Multiresolution Motion Estimation (VBMRME) is presented in this paper, which reduces temporal redundancy between pictures of the image sequence.
KL变换作为一维线性变换被用于消除一维(1d)谱冗余，且SFCVQ编码被应用于提高压缩比。
KLT is used to remove the correlation of spectral redundancy as one-dimensional (1d) linear transform, and SFCVQ coding is applied to enhance compression ratio.
与传统的对称三维小波变换相比，非对称的三维小波变换能够更有效地去除相邻谱段间的冗余。
Compared with traditional symmetric 3d wavelet transform, asymmetric 3d wavelet transform can more efficiently remove the correlation between the adjacent bands.
但是，原始的轮廓波变换由于采用拉普拉斯塔式变换而存在一定的冗余度，并且缺乏平移不变性，因此在图像处理等应用中具有其局限性。
However, the original contourlet transform has a certain redundancy and lacks translation invariance, it tends to have its limitation in the applications such as image processing.
该算法首先根据水下图像的特点，对图像进行小波变换预处理以去除其中的视觉冗余。
Firstly, the visual redundancy of underwater images is removed by a wavelet-based preprocessing technique according to the characteristics of underwater images.
将这种方法用于卫星跟踪卫星，建立了地球重力场逼近的多尺度方法。5 .基于球面小波变换的冗余性，证明了利用球面小波进行重力位逼近具有最小。
Based on the redundancy of spherical wavelet transformation we proved that using spherical wavelet to approximate the earth gravity field has the least square properties.
将这种方法用于卫星跟踪卫星，建立了地球重力场逼近的多尺度方法。5 .基于球面小波变换的冗余性，证明了利用球面小波进行重力位逼近具有最小。
Based on the redundancy of spherical wavelet transformation we proved that using spherical wavelet to approximate the earth gravity field has the least square properties.
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