Machine Learning Meets Geometry
CSE291 (8) - Winter 2022
Lecture Notes of 2021 Winter (Old, link)
Lecture Notes of 2022 Winter (Ongoing)
Section 1 |
Theories of Geometry |
|
1/4
|
Curve Theory, PDF (2022 ver), Annotated PDF (2021 ver) | overview of the course, logistics, curve theory |
1/7 1/11
|
Curve Theory (cont), Surface Theory | differential map, normal curvature, principal curvature |
1/13
|
Surface Theory (II) | shape operator, first fundamental form, isometry, fundamental theorem of surfaces |
1/18
|
Mesh and Point Cloud | polygonal mesh, point cloud |
1/20
|
Rotation and SO(3) | rotation matrix, euler angle, angle-axis, quaternion |
Section 2 |
3D Deep Learning |
|
Section 2.1 |
3D Reconstruction |
|
1/25, 1/27
|
Learning-based MVS | learning-based MVS, NeRF |
2/1
|
Single Image to 3D | EMD, Chamfer, mesh deformation |
Section 2.2 |
3D Data Understanding |
|
2/3
|
3D Backbone Networks | Volumetric CNN |
2/8
|
3D Backbone Networks | PointNet |
2/10, 2/15
|
6D Pose Estimation | ICP, Umeyama's method, direct method |
2/17
|
3D Detection | |
2/22
|
3D Instance Segmentation | top-down approach, bottom-up approach |
2/24
|
Intrinsics-based Analysis | geodesic distance, dijkstra's algorithm for geodesics, learning-based method for geodesics, applications |
Section 2.3 |
Structured 3D Learning |
|
3/3
|
Deformation Models | surface deformation, space deformation, skeleton skinning |
Section 2.4 |
Geometry Processing and Collection Analysis |
|
3/8
|
Surface Reconstruction | explicit and implicit method for surface reconstruction |