Implementation of C + + OpenCV with wavelet transformIntroduction to Wavelets: http://www.blogbus.com/shijuanfeng-logs/221293135.htmlSource: wavelet Transformint _level)Const{ int revalue = Thid_err_none; Mat src = mat_float> (_SRC); int N = src.rows; int D = Src.cols; High-pass low-pass filter Mat Highfilter; Wavelet (_wname, Lowfil
About wavelet transform I just have a very plain understanding. However, the wavelet transform can be combined with Fourier transform to understand.
The Fourier transform is to decompose the original function with a series of cosine functions of different frequencies, and the coefficients of the original function at different frequencies of the sine cosine are obtained after transformation.
Attention. There is a new revision of the program, please see the following article:%----------------------------------------------------------The problem analysis of reconstruction V2.0 version of wavelet decomposition Blog.csdn.net/chenyusiyuan/archive/2008/07/09/2628911.aspx wavelet Image Decomposition Matlab program-V3.0 version http://blog.csdn.net/ Chenyusiyuan/archive/2008/07/09/2630153.aspx
I have a simple understanding of wavelet transformation. However, wavelet transformation can be understood in combination with Fourier transformation.
Fourier transformation is to use a series of positive Cosine Functions with different frequencies to decompose the original functions. After transformation, the original functions are obtained with coefficients at different frequencies of the positive cosine.
Introduction to Wavelet TransformWavelet analysis is a kind of signal time-frequency analysis, before the advent of wavelet analysis, Fourier transform is the most widely used signal processing, the most effective analysis means. Fourier transform is a tool to transform the time domain into the frequency domain, in the physical sense, the essence of Fourier transform is to decompose the waveform into the su
Https://zhidao.baidu.com/question/88038464.htmlDWT2 is a two-dimensional single-scale wavelet transform, which can decompose two-dimensional single-scale wavelet by specifying wavelet or decomposition filter.And WAVEDEC2 is two scale wavelet decomposition.A syntax format for DWT2 is [Ca,ch,cv,cd]=dwt2 (X, ' wname ');Th
This two-day exposure to image Multiscale decomposition of some content, the main focus on the EMD (empirical mode decomposition)--bemd (bidimensional empirical mode decomposition), LMD ( Local mean decomposition)--BLMD (bidimensional local mean DECOMPOSITION,BLMD).Have not been exposed to this field before, and now began to slowly do some accumulation, start with the wavelet transform.1 Image Multiscale decompositionBecause of the different size of t
This period of time released a lot of wavelet image processing feature articles, it is time to tidy up, this article as a navigation page, give the connection of each feature article, convenient for everyone to read.
First, introduction of Wavelet Primer
(1) The Origin, development and application of wavelet analysisHttp://blog.csdn.net/chenyusiyuan/archive/2007/
In the previous section we introduced the concept of the series of function items, which we discuss the properties of the series of function items. Fourier series is a series of function items (trigonometric functions), in essence, an image (or a set of signals) is a function, we study the Fourier transform of the image, is to explore how to use the function of the triangle function to expand the image. Therefore, it is very necessary to discuss the properties of the series of function items if
matlab Time-Frequency Analysis toolbox application and example of wavelet scale graph function
# # #原创, reprint please indicate the source # # #
The Time-frequency Toobox is a powerful, one-frequency analysis tool box. This paper describes the use of Tfrscalo (wavelet scale graph) function in the Toolbox, and combines the examples. Based on Matlab r2016a. 1. Introduction to Functions:
Tfrscalo function:
Ca
The graduation design of the undergraduate project "The application of Laguerre wavelet in numerical integration and numerical solution of differential equation" is to approximate the function that needs integral or solve differential equation by Laguerre wavelets function, the original function is difficult to obtain the function is expressed by the wavelet function, so it is easy to solve the numerical in
This is the wavelet Moment Feature Extraction code I wrote when I was a graduate student:
% New normalization method wavelet Moment Feature Extraction ----------------------------------------------------------
F=imread('a1.bmp ');F = im2bw (f );F = imresize (F, [128 128]);% Obtain the top VertexFor I = 1:128For J = 1:128If (f (I, j) = 1)Ytop = I;Xtop = J;Break;EndEndIf (f (I, j) = 1)Break;EndEnd% Calculate
only interrupted at the integer points. More HAL space, we will be introduced in section 3.2.Our coverage of the L2 (R) space should cover as much of his contour as possible and keep the details well preserved. In section 3.3 We will introduce the HAL Space VJ, as well as the Haar wavelet space in section 3.4 that contains detailed information.In section 3.5, we will discuss the relationship between these spaces and how to reconstruct our functions t
Excerpt:The N in DBN is the moment of the wavelet function;The larger the moment to disappear, the larger the length of its support, usually the length of the support is not less than 2 * n-1;The larger the moment to disappear, the smoother the corresponding filter, and the strong oscillation of the wavelet function.The greater the number of zeros after the smoothing function is expanded using
Fully understand the properties of Fourier transform and wavelet (6)--Fourier series expansion function term seriesIn the previous section we introduced the concept of the series of function items, which we discuss the properties of the series of function items. Fourier series is a series of function items (trigonometric functions), in essence, an image (or a set of signals) is a function, we study the Fourier transform of the image, is to explore how
Main content:
Fourier matrix and its MATLAB implementation
wavelet transform Matrix and its MATLAB implementation
Fourier matrix and its MATLAB implementationDefinition of the Fourier matrix: (Source: http://mathworld.wolfram.com/FourierMatrix.html)The MATLAB implementation of the Fourier matrix: Dftmtx (N) is the n-by-n complex matrix of values around the unit-circle whose inner Product with a column vector of Length N yie
A few days ago, we discussed a Wavelet Image Fusion Algorithm Based on Low Frequency Fusion Strategy (http://blog.csdn.net/chenyusiyuan/archive/2007/11/14/1883987.aspx). Today we will talk about several details of Algorithm Programming implementation.
(1) high-frequency band convergenceFirst, high-frequency coefficient fusion adopts the rule of getting a large value based on the absolute value of the pixel. Note that the object to be compared is the a
CSS3 simple wave simulation-I am a wave, I have ups and downs, there are big waves and Wavelet (in a giggle ...),I'm a wave, I have ups and downs, I have big waves and Wavelet (giggle ...)
Recently revised websites do not usually write animations, but some websites still need them. Therefore, it is very easy to share a simple animation.
Principles
In fact, it is very easy to use a 24 00px width prepared by
solve some problems. However, for Signal Analysis with different frequency overlays, if the size of the selected window becomes a problem, the window is too small to analyze the low frequency component, if the window counter is large, the high-frequency components cannot be analyzed, that is, the resolution problem occurs.
Finally, the concept of wavelet transform is proposed, so that the window can be transformed over time to obtain the same signal
1.4 Fourier series expansionBefore we introduced the Taylor expansion, we mentioned Fourier series. Using Fourier series to expand the function is better than the Taylor expansion, and the smoothness of the function is no longer demanding. Fourier series is the basis of Fourier transform, Fourier transform is a very important method in digital signal processing (especially image processing). Unfortunately, it is not easy for many readers to associate the Fourier transform with the Fourier series
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