图像处理与分析数学基础回顾 Math reviewsignal and systems 信号与系统image 图像基础Overview 概述Transform 图像变换图像增强图像编码和压缩分割提取目标检测识别 影像匹配镶嵌
Contents
数学基础回顾 Math review
signal and systems 信号与系统
image 图像基础
Overview 概述
Transform 图像变换
Fourier
小波变换 Wavelet
图像增强
图像编码和压缩
编码方式
编码与压缩标准
分割提取
目标检测识别 影像匹配镶嵌
数学基础回顾 Math review
complex number 复数
欧拉公式: c o s θ + j s i n θ = e j θ cosθ +jsinθ = e^{jθ} cosθ+jsinθ=ejθ
复数运算: 乘法—模乘角加; n方—模方角n; 除法—模除角减.
卷积convolution
关于什么是卷积,"马同学"讲得还不错
打脸叠加(时不变 >> 时变); 骰子%关键在于理解"shape modified"%.
卷纸, 画直线,
From wikimedia: convolution is a mathematical operation on two functions (f and g) to produce a third function that expresses how the shape of one is modified by the other. The term convolution refers to both the result function and to the process of computing it. Convolution is similar to cross-correlation
图像处理与分析数学基础回顾 Math reviewsignal and systems 信号与系统image 图像基础Overview 概述Transform 图像变换图像增强图像编码和压缩分割提取目标检测识别 影像匹配镶嵌
离散则化 ∫ 为∑.
An Introduction to Convolution Neural Networks and Deep Learning
It has a frequency response as flat as possible in the passband. It is also referred to as a maximally flat magnitude filter.
渐变,振铃现象不明显,效果好但是计算复杂.
Here is a graph of low-pass.
图像处理与分析数学基础回顾 Math reviewsignal and systems 信号与系统image 图像基础Overview 概述Transform 图像变换图像增强图像编码和压缩分割提取目标检测识别 影像匹配镶嵌
wiener-Khinchin 维纳辛钦定理
Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process. 即一个信号的功率谱密度就是该信号自相关函数的傅里叶变换
