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Independent study on digital image processing with a focus on computer vision and image super-resolution

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Digital-Image-Processing

Textbook followed: Digital Image Processing, 3rd edition Rafael C. Gonzales

Professor: Fred Fontaine

Independent study on digital image processing with a focus on computer vision and super-resolution. I mainly followed Gonzales' Digital Image Processing, reading through 1-2 sections a week, and towards the end switched to reading research papers in my areas of interest. Throughout the semester, I proceeded to implement a number of the algorithms I read about, which can be seen in the notebooks provided in the repository.

Primary tools: OpenCV, Pytorch

Topic Breakdown:

1. Digital Image Fundementals

  • Sampling
  • Pixel relationships
  • Linear algebra
  • Probability
  • Color spaces

2. Image Transformations

  • Intensity transformations
  • Histogram processing
  • Histogram matching
  • Spatial filters
  • Smoothing/Sharpening filters

3. Frequency domain filtering & Color

  • Sampling
  • Aliasing issues
  • DFT
  • 2D FTs
  • Frequency based smoothing/sharpening
  • Selective filters
  • Color spaces
  • Color transformations
  • Colored Smoothing/sharpening
  • Noise in color images
  • Color-based segmentation

4. Noisy Images

  • Noise models:
    • Gaussian
    • Rayleigh
    • Gamma
    • Exponential
    • Uniform
    • Impulse
    • Periodic noise
    • Estimating noise
  • Spatial filtering for denoising
  • Frequency domain filtering for denoising
  • Estimating noise
  • Adaprive filters for noise reduction
  • MSE filtering
  • Least square filtering

5. Morphological Image Processing

  • Erosion
  • Dilation
  • Opening
  • Closing
  • Hit-or-Miss
  • Boundary extraction
  • Hole filling
  • Convex hull
  • Thickening
  • Thinning
  • Skeletons
  • Grey-scale morphology

6. Image Segmentations

  • Point detection
  • Line detection
  • Gradients
  • Edge detection
    • Marr-Hildreth
    • Canny
  • Edge models
  • Thresholding
  • Dam construction

7. Image Formation

  • Quaternions
  • Velocity fields
  • Perspective geometry
  • Photonic image formation
  • Stereo

8. Compression

  • Info theory
  • Lossless compression
  • Wavelets
  • Transform coding

9. Image Super-Resolution

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