| Lecture # | Topics | Key Dates |
|---|---|---|
| 1 | Overview and image formation. Where will it image? How bright will it be? How can we invert image formation? | Homework 1 Assigned |
| 2 | Image formation, perspective projection, time derivative, and motion field | |
| 3 | Time to contact, focus of expansion, direct motion vision methods, and noise gain | Homework 2 Assigned |
| 4 | Fixed optical flow, optical mouse, constant brightness assumption, and closed form solution | |
| 5 | TTC and FOR Montivision demos, vanishing point, and use of VPs in camera calibration | Homework 3 Assigned |
| 6 | Photometric Stereo, noise Gain, error amplification, eigenvalues, and eigenvectors review | |
| 7 | Gradient space, reflectance map, image irradiance equation, and gnomonic projection | |
| 8 | Shape from shading in special cases, lunar surface, scanning electron microscope, and Green’s theorem in photometric stereo | |
| 9 | Shape from shading in general case—from first order nonlinear PDE to five ODEs | Homework 4 Assigned |
| 10 | Characteristic strip expansion, shape from shading, and iterative solutions | |
| 11 | Edge detection, subpixel position, CORDIC, and line detection (US Patent 6,408,109) | Homework 5 Assigned |
| 12 | Blob analysis, binary image processing, use of Green’s theorem, and derivative and integral as convolutions | |
| 13 | Object detection, recognition and pose determination, and PatQuick (US Patent 7,016,539) | |
| 14 | Inspection in PatQuick, Hough transform, homography, position determination, and multi-scale | |
| 15 | Alignment, recognition in PatMAx, distance field, and filtering and sub-sampling (US Patent 7,065,262) | |
| 16 | Fast convolution, low pass filter approximations, and integral images (US Patent 6,457,032) | |
| 17 | Photogrammetry, orientation, axes of inertia, symmetry, and absolute, relative, interior, and exterior orientation | |
| 18 | Rotation and how to represent it, unit quaternions, and the space of rotations | |
| 19 | Absolute orientation in closed form, outliers and robusteness, and RANSAC | |
| 20 | Space of rotations, regular tesselations, and critical surfaces in motion vision and binocular stereo | |
| 21 | Relative orientation, binocular stereo, structure from motion, quadrics, camera calibration, and reprojection | |
| 22 | Exterior orientation, recovering position and orientation, bundle adjustment, and object shape | |
| 23 | Gaussian image and extended Gaussian image, solids of revolution, direction histograms, and regular polyhedra | |
| 24 | Putting it all together |
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