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The road to Mathematics-python Computational Combat (20)-Machine vision-Laplace operator convolution filter

two dimensional convolution calculation of Laplace operator and linear sharpening filter #-*-Coding:utf-8-*- #线性锐化滤波-Laplace operator for two dimensional convolution calculation #code:[email protected]import cv2import numpy as Npfrom scipy import sig Nalfn= "test6.jpg" Myimg=cv2.imread (FN) Img=cv2.cvtcolor (myimg,cv2. Color_bgr2gray) Srcimg=np.array (img,np.double) Myh=np.array ([[0,1,0],[1,-4,1],[0,1,0]

Mathematical equation: Laplace transformation

Updated: 1 APR 2016Laplace transformSet function \ (f (t) \) is defined at \ (t>0\), integral \ (F (s) =\int_0^{+\infty}f (t) e^{-st}dt \qquad (S\in \mathbb{c}) If convergence is within a domain of s, this mapping is called the Laplace transform, which is recorded as \ (f (s) =\mathscr{l}[f (T)],\qquad f (t) =\mathscr{l}^{-1}[f (s)]\) In fact, the Laplace transform of \ (f (t) \) is the Fourier transform (f

OpenCV2.4.10 Samples_cpp_tutorial-code_learn-----Imgtrans (Laplace edge detection and Sobel edge detection, image remapping)

This series of learning notes is referenced from the OpenCV2.4.10Opencv\sources\samples\cpp\tutorial_code and http://www.opencv.org.cn/opencvdoc/2.3.2/html/genindex.htmlin image processing, it is often necessary to extract an effective edge to the image. This post will cover Laplace edge detection and Sobel edge detection, as well as image remapping. 1.laplace_demo.cpp (Laplace edge detection )Demo sourc

Chapter 6-image transformation-Laplace transformation (cvlaplace)

Laplace transformation can also be used as edge detection and defined in the form of quadratic derivatives. Laplace transform is an integral transformation commonly used in Engineering Mathematics. For the comparison and significance of Laplace and Fourier transformation, refer to here Bytes ------------------------------------------------------------------

High-order Laplace curved surface deformation algorithm (polyharmonic deformation)

The continuous smooth deformation of the mathematical surface can be modeled by minimizing the energy function, in which the energy function is used to adjust the degree of stretching or bending of the surface, so the optimal solution of minimizing the energy function and satisfying all boundary conditions is to find the surface.The energy function is usually the form of a two-time function:Where s* represents the K-order biasing of the surface parameters U and v.For solving the optimization pro

NYOJ 178 law of finding a law (Laplace interpolation formula), nyojlago

NYOJ 178 law of finding a law (Laplace interpolation formula), nyojlagoLink: click here Question: Description You must have seen this question: Find the rule between these numbers and write the next one that satisfies the rule.For example: 2 5 10 17 26, we can see that these numbers conform to the n * n + 1 formula, and the next number is 37.This generic formula has more than one, so the answer is not unique. However, if the N number is known a

Laplace interpolation,

Laplace interpolation, The proof of existence and uniqueness will be supplemented later ....Laplace Interpolation Laplace interpolation, emmmm, with a very high name: joy: What applications does it have? We have talked about it in FFT. Set $ n-1 $ subpolynomial $ Y = \ sum _ {I = 0} ^ {n-1} a_ I x ^ I $ There is an obvious conclusion: If $ n $ is given with diffe

Numerical Analysis (implemented in php) 1: Laplace interpolation

In the course of numerical analysis, I tried to use php to implement it. if you are interested, you can stick it down and try using the Laplace interpolation to give n known points. use polynomial functions to fit and find the fitting function, then, an interpolation process for estimating the value of the unknown point function is f (x) xigma (sum) lk * yk... syntaxHighlighter. all (); In the field of numerical analysis, try to use php. if you are i

Demon de Laplace

I recently saw this word and suddenly became very interested in it. I found its meaning as follows: VIP encyclopedia D émon de Laplace is a scientific hypothesis proposed by French mathematician pierre-Simon Laplace in 1814. This "demon" knows the exact position and momentum of each atom in the universe, and can use Newton's Law to demonstrate the whole process, past, and future of cosmic events. Some pe

Mathematical Road-python Computing (21)-Machine vision-Laplace linear filtering

Laplace linear filtering,. Edge DetectionLaplacianCalculates the Laplacian of an image. C + +: void Laplacian (inputarray src, outputarray DST, int ddepth, int ksize=1, double scale =1, double delta=0, int bordertype=border_default ) Python: Cv2. Laplacian (SRC, ddepth [Dst [, ksize [, scale [, Delta [, Bordertype ] ] ]

Numerical analysis (implemented in php) 1: Laplace Interpolation

In the field of numerical analysis, try to use php. If you are interested, stick it down and try again. The Laplace interpolation is an interpolation process that gives n known points and uses polynomial functions to fit and obtain the fitting function, and then estimates the value of an unknown point function. The interpolation function is f (x) = xigma (SUM) lk * yk This class implements the function of displaying functional images after interpolati

Edge Detection-LAPLACE OPERATOR

Edge Detection-LAPLACE OPERATOR The Laplace operator can be expressed in a convolution template: 0 1 0 1 -4 1 0 1 0 // Laplace operator

Introduction to Signals and Systems Lesson 1 What is convolution Fourier transform Laplace transformation

Introduction to Signals and Systems Lesson 1 What is convolution? What is Fourier Transform? What is Laplace transform? Introduction ---------------------------------------- Many of my friends, like me, have learned a bunch of signal courses for electronics majors in Engineering. I have not learned anything. I took the test on the formula and then graduated. Let's talk about the question "What is the use of convolution. (Someone replied that "convolu

[Numerical algorithm] Laplace Interpolation

The Laplace interpolation method is not a very practical interpolation method. It is usually used in piecewise interpolation. When there are too many interpolation nodes, the data is unstable. # Include "lags. h" # Include "myAssert. h" # Include # Include Type lagrangeInsert (Type * xArr, Type * yArr, Type x, int n) { Type tmpSum = Type_Zero, sum = Type_Zero; Int I = 0, j = 0; Asserts (xArr! = NULL, "xArr passed in is null/n "); Asserts

[Opencv learning] Laplace transformation (Video boundary detection)

Author: gnuhpcSource: http://www.cnblogs.com/gnuhpc/ # Include "CV. H "# include" highgui. H "# include # include int main (INT argc, char ** argv) {iplimage * Laplace = 0; iplimage * coloelaploud = 0; iplimage * PLANeS [3] = {0, 0 }; // multiple

Proof of a common f (x) = x 'A' ax derivative when the maximum value is obtained by using the Laplace method for PCA and least square difference

InPCAIn other places, when solving extreme values, we always encounterX 'A' axFunction pairXI have always seen the results given by others. Today I have deduced the results carefully. Here I will record this process. The following is a proof of

Laplace Interpolation Curve

Void lugrange (cpoint * AA, int K, int l_section, CDC * PDC) {float blend [4] [100], f_blend [4] [100], rochelle blend [4] [100]; float U, V, W; cpoint Sm [4]; int X, Y; For (INT I = 0; I moveTo (AA [0]. x, AA [0]. y); For (Int J = 0; j lineto (x,

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PYTHON-OPENCV Tutorial -8-image Pyramid Fusion

layer image here will certainly be different from the original first layer, since the missing information of the Gaussian filter is irreversible).We get the reconstructed 1-layer image, then we subtract the reconstructed image with the original 1-layer image, we get the Laplace pyramid image of this layer. Then the process is repeated, and the entire Laplace image pyramid can be obtained.The process of get

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