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Self-Study Coursework for Discrete Differential Geometry (CMU 15-458/858) in Spring 2021

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Discrete Differential Geometry - CMU 15-458/858

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Lecture Task Title / Detail Done?
1 Overview
Reading 1 Overview of DDG ☑️
2A What is a "Mesh?"
2B Introduction to Manifolds
Reading 2 Chapter 2
Asgmt 0 (Written) Chapter 2: 15 Exercises
✅ 1-3, 8-12
☑️ 4-7, 13-15
☑️

Asgmt 0 (Coding) Simplicial Complex Operators
3 Exterior Algebra
4 k-Forms
5 Differential Forms
Reading 3 Chapter 4: Sections 4.1-4.5
6 Exterior Derivative
7 Integration ☑️
8 Discrete Differential Forms
9 Discrete Exterior Calculus
Reading 4 Chapter 4: Sections 4.6-4.8
Asgmt 1 (Written) Exterior Calculus ☑️
Asgmt 1 (Coding) Discrete Exterior Calculus
10 Smooth Curves ☑️
11 Discrete Curves ☑️
Reading 5 Chapter 3 ☑️
Asgmt 2 (Written) Investigating Curvature ☑️
Asgmt 2 (Coding) core/geometry.cpp:
☑️ 1. angle
☑️ 2. dihedralAngle
☑️ 3. vertexNormalAngleWeighted
☑️ 4. vertexNormalSphereInscribed
☑️ 5. vertexNormalAreaWeighted
☑️ 6. vertexNormalGaussianCurvature
☑️ 7. vertexNormalMeanCurvature
☑️ 8. angleDefect
☑️ 9. totalAngleDefect
☑️ 10. scalarMeanCurvature
✅ 11. circumcentricDualArea
☑️ 11.principalCurvatures
☑️











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