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