Table of Contents

1. Geometric Transformations & Image Warping
   • Affine Transformations
   • Projective Transformations
   • Polynomial Warping
   • Practical Applications
2. Advanced Image Registration
   • Intensity-Based Methods
   • Feature-Based Approaches
   • Multimodal Registration
   • Optimization Techniques
3. Hough Transform & Shape Detection
   • Line Detection
   • Circle Detection
   • Ellipse & General Shape Detection
   • Parameter Space Analysis
4. Feature Extraction & Matching
   • SIFT/SURF Features
   • ORB & FAST Features
   • Feature Matching Strategies
   • Outlier Rejection
5. Practical Exercises & Projects
   • Image Stitching Challenge
   • Object Detection System
   • Document Alignment
   • Industrial Inspection Case Study
6. Performance Optimization
   • Vectorization Techniques
   • Parallel Processing
   • GPU Acceleration
7. Next Steps & Roadmap

1. Geometric Transformations & Image Warping

1.1 Affine Transformations

I = imread('peppers.png');
tform = affine2d([1 0.3 0; 0.2 0.9 0; 0 0 1]);
outputImage = imwarp(I, tform);
montage({I, outputImage});
title('Original vs Affine Transformed');

Key Parameters:

• Rotation matrix ([cosθ -sinθ; sinθ cosθ])
• Shear components
• Translation vector

1.2 Projective Transformations

originalPts = [1 1; 512 1; 512 384; 1 384];
distortedPts = [50 30; 450 80; 420 350; 80 300];
tform = fitgeotrans(originalPts, distortedPts, 'projective');
warped = imwarp(I, tform);
imshow(warped);