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计算机视觉基本原理

资料链接

  • 官方链接 https://fpcv.cs.columbia.edu/
  • 课程视频 https://www.bilibili.com/video/BV18w411w7NG?spm_id_from=333.788.videopod.episodes&vd_source=b543022652445d3b2433332fe784ea26
  • 课件: https://fpcv.cs.columbia.edu/Monographs

课程内容

Introduction

  • Overview
  • What is Computer Vision?
  • What is Vision Used For?
  • How Do Humans Do it?
  • Topics Covered
  • About the Lecture Series
  • References and Credits

Imaging

Image Formation

  • Overview
  • Pinhole & Perspective Projection
  • Image Formation using Lenses
  • Depth of Field
  • Lens Related Issues
  • Wide Angle Cameras
  • Animal Eyes

Image Sensing

  • Overview
  • A Brief History of Imaging
  • Types of Image Sensors
  • Resolution, Noise, Dynamic Range
  • Sensing Color
  • Camera Response & HDR Imaging
  • Nature’s Image Sensors

Binary Images

  • Overview
  • Geometric Properties
  • Segmenting Binary Images
  • Iterative Modification

Image Processing I

  • Overview
  • Pixel Processing
  • LSIS and Convolution
  • Linear Image Filters
  • Non-Linear Image Filters
  • Template Matching

Image Processing II

  • Overview
  • Fourier Transform
  • Convolution Theorem
  • Filtering in Frequency Domain
  • Deconvolution
  • Sampling Theory and Aliasing

Features

Edge Detection

  • Overview
  • What is an Edge?
  • Edge Detection Using Gradients
  • Edge Detection Using Laplacian
  • Canny Edge Detector
  • Corner Detection

Boundary Detection

  • Overview
  • Fitting Lines and Curves
  • Active Contours
  • Hough Transform
  • Generalized Hough Transform

SIFT Detector

  • Overview
  • What is an Interest Point?
  • Detecting Blobs
  • SIFT Detector
  • SIFT Descriptor

Image Stitching

  • Overview
  • 2x2 Image Transformations
  • 3x3 Image Transformations
  • Computing Homography
  • Dealing with Outliers: RANSAC
  • Warping and Blending Images

Face Detection

  • Overview
  • Uses of Face Detection
  • Haar Features for Face Detection
  • Integral Image
  • Nearest Neighbor Classifier
  • Support Vector Machine

Reconstruction I

Radiometry and Reflectance

  • Overview
  • Radiometric Concepts
  • Scn. Radiance & Img. Irradiance
  • BRDF
  • Reflectance Models
  • Reflection from Rough Surfaces
  • Dichromatic Model

Photometric Stereo

  • Overview
  • Gradient Space & Reflectance Map
  • Photometric Stereo
  • Lambertian Case
  • Calibration Based Photo. Stereo
  • Shape from Normals
  • Interreflections

Shape from Shading

  • Overview
  • Human Perception of Shading
  • Stereographic Projection
  • Shape from Shading Algorithm
  • Shading Illusions

Depth from Defocus

  • Overview
  • Point Spread Function
  • Depth from Focus
  • Depth from Defocus

Active Illumination Methods

  • Overview
  • Photometric Stereo Systems
  • Structured Light Range Finding
  • Phase Shifting Method
  • Structured Light Systems
  • Time of Flight Method

Reconstruction II

Camera Calibration

  • Overview
  • Linear Camera Model
  • Camera Calibration
  • Intrinsic and Extrinsic Matrices
  • Simple Stereo

Uncalibrated Stereo

  • Overview
  • Problem of Uncalibrated Stereo
  • Epipolar Geometry
  • Estimating Fundamental Matrix
  • Finding Correspondences
  • Computing Depth
  • Stereo Vision in Nature

Optical Flow

  • Overview
  • Motion Field & Optical Flow
  • Optical Flow Constraint Equation
  • Lucas-Kanade Method
  • Coarse-to-Fine Flow Estimation
  • Application of Optical Flow

Structure from Motion

  • Overview
  • Structure from Motion Problem
  • Observation Matrix
  • Rank of Observation Matrix
  • Tomasi-Kanade Factorization

Perception

Object Tracking

  • Overview
  • Change Detection
  • Gaussian Mixture Model
  • Object Tracking using Template Matching
  • Tracking by Feature Detection

Image Segmentation

  • Overview
  • Segmentation by humans
  • Segmentation as Clustering
  • k-Means Segmentation
  • Mean-Shift Segmentation
  • Graph Based Segmentation

Appearance Matching

  • Overview
  • Shape vs. Appearance
  • Learning Appearance
  • Principal Component Analysis
  • Finding Principal Components
  • PCA and SVD
  • Parametric Appearance Representation
  • Appearance Matching

Neural Networks

  • Overview
  • Perceptron
  • Perceptron Network
  • Activation Function
  • Neural Network
  • Gradient Descent
  • Backpropagation Algorithm
  • Example Applications
  • When to Use Machine Learning?
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