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,cv
Normal convolution operation:
As pictured above: 4x4 input, convolution kernel for 3x3, output for 2x2. The calculation can be understood as:The input matrix expands into a 4*4=16 dimension vector, which is recorded as XThe output matrix expands into a 2*2=4 dimension vector, which is called YThe convolution kernel C is the following matrix:The
should look at the eyes of the surrounding, and even ourselves, to know it, and know its why.---------------------------------------------------------------------------------------------------------------From the above we learned the source of the convolution. Let's find out the official definition of convolution: an infinite integral operation for two functions in mathematics. For functions F1 (T) and F2
convolution Operations
tf.nn.conv2d (input, filter, strides, padding, use_cudnn_on_gpu=none, Name=none)
The name parameter is dropped to specify the name of the operation, with a total of five parameters related to the method: input:An input image that requires a convolution, which requires a tensor, with a shape such as [batch, In_height, In_width, In_channels] , which means [the number of images of a ba
The nature and physical significance of convolution (comprehensive understanding of convolution)The essence and physical meaning of convolutionHint: the understanding of convolution is divided into three parts 1) signal angle 2) mathematician understanding (layman) 3) relationship with polynomial1 sourcesConvolution is actually the birth of the impact function. T
1. ForewordThe traditional CNN network can only give the image of the lable, however, in many cases, it is necessary to segment the identified objects to achieve end to end, and then FCN appeared, to the object segmentation provides a very important solution, the core is the convolution and deconvolution, so here is a detailed explanation of convolution and deconvolution. For 1-D
Convolution is actually the most basic operation in image processing, some algorithms such as mean Blur, Gaussian blur, sharpening, Sobel, Laplace, Prewitt edge detection and so on, can be realized by convolution algorithm. Only because of the particularity of the convolution matrix of these algorithms, it is generally not directly implemented, but by some optimi
Han weiyun ▲
Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this caseG) Is first reflected aboutAnd then offsetT, Making it. The area under the resulting product gives the convolutionT. The horizontal axis isForFAndG, And t.
Convolution of a square pulse (as input signal) with the impulse response of an RC Circuit to obtain the output signal wavefor
Learning notes TF028: simple convolution network and learning notes tf028 convolution
Load the MNIST dataset. Create the default Interactive Session.
The initialization function creates random noise to break the complete symmetry. Truncates Normal Distribution noise, with a standard deviation of 0.1. ReLU, offset plus a small positive value (0.1) to avoid dead nodes (dead neurons ).
The transpose convolution is actually equivalent to the reverse propagation of the normal convolution.
Consider an input of x=4x4, convolution kernel is w=3x3, step is stride=1,zero-padding=0
Expand the convolution kernel to a sparse matrix C:
To do convolution can be
[emphasis] on the interpretation of convolution to avoid three misunderstandings: Click on the Open link
The Y = CX convolution operations Matrix C definition is arranged as follows:
Many articles say that the transpose of the convolution nucleus can be used to reverse convolution, and lost in confusion "even if the v
The process of generating a new one-channel graph from a picture of a channel is easy to understand, and it is a bit abstract to figure out how to generate multiple channels after convolution of multiple channels. In this paper, the convolution is described in a popular and understandable way, and the principle of convolution can be understood quickly with the he
Ufldl learning notes and programming assignments: Feature Extraction Using Convolution and pooling (convolution and pooled feature extraction)
Ufldl provides a new tutorial, which is better than the previous one. Starting from the basics, the system is clear and has programming practices.
In the high-quality deep learning group, you can learn DL directly without having to delve into other machine learning
convolution
The convolution function is:
tf.nn.conv2d (input, filter, strides, padding, use_cudnn_on_gpu=none,
Data_format=none, Name=none)
Input for one-D inputs, fileter for filters (convolution core), d, usually [height, width, Input_dim, output_dim],height, width, respectively, the volume of the kernel of the high, wide. Input_dim, Output_dim the
dimension calculation of convolution layer
Suppose the input size of the convolution layer x*x to 5*5, the volume kernel size is k*k to 3*3, step stride is 2, assuming not fill, output dimension will be (X-k)/2+1, that is 2*2; If the step size is 1, then the output will be 3*3. There are many derivations of the front Shang and reverse propagation of step 1. Don't repeat it.
forward Propagation
Suppose th
! Each function you'll implement'll have detailed instructions that'll walk you through the steps needed:convolution Functions, Including:zero Padding convolve window convolution forward convolution backward (optional) pooling functions, Including:pooling forward Create Mask distribute value pooling backward (optional)
This notebook would ask you for implement these functions from scratch in numpy. In the n
https://buptldy.github.io/2016/10/29/2016-10-29-deconv/
transposed convolution, fractionally strided convolution or deconvolution Posted on 2016-10-29The concept of deconvolution (Deconvolution) was first presented by Zeiler in a paper published in 2010 Deconvolutional networks, but did not specify the name of the Deconvolution, which was formally used in the subsequent work ( Adaptive deconvolutional ne
1 deconvolution is convolution, only the middle padding, and then do the convolution.Here is a dynamic diagram, transposed is the inverse convolution (transpose convolution)Https://github.com/vdumoulin/conv_arithmeticThe implementation of the algorithm is also first padding and then convolution2 Mathematical FormsConvolution can be transformed into a product of a
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