圖像處理與分析數學基礎回顧 Math reviewsignal and systems 信号與系統image 圖像基礎Overview 概述Transform 圖像變換圖像增強圖像編碼和壓縮分割提取目标檢測識别 影像比對鑲嵌
Contents
數學基礎回顧 Math review
signal and systems 信号與系統
image 圖像基礎
Overview 概述
Transform 圖像變換
Fourier
小波變換 Wavelet
圖像增強
圖像編碼和壓縮
編碼方式
編碼與壓縮标準
分割提取
目标檢測識别 影像比對鑲嵌
數學基礎回顧 Math review
complex number 複數
歐拉公式: c o s θ + j s i n θ = e j θ cosθ +jsinθ = e^{jθ} cosθ+jsinθ=ejθ
複數運算: 乘法—模乘角加; n方—模方角n; 除法—模除角減.
卷積convolution
關于什麼是卷積,"馬同學"講得還不錯
打臉疊加(時不變 >> 時變); 骰子%關鍵在于了解"shape modified"%.
卷紙, 畫直線,
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
圖像處理與分析數學基礎回顧 Math reviewsignal and systems 信号與系統image 圖像基礎Overview 概述Transform 圖像變換圖像增強圖像編碼和壓縮分割提取目标檢測識别 影像比對鑲嵌
離散則化 ∫ 為∑.
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.
漸變,振鈴現象不明顯,效果好但是計算複雜.
Here is a graph of low-pass.
圖像處理與分析數學基礎回顧 Math reviewsignal and systems 信号與系統image 圖像基礎Overview 概述Transform 圖像變換圖像增強圖像編碼和壓縮分割提取目标檢測識别 影像比對鑲嵌
wiener-Khinchin 維納辛欽定理
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. 即一個信号的功率譜密度就是該信号自相關函數的傅裡葉變換
