# Computational Geometry
### Welcome:wave:
<div align="center">God ever geometrizes. - PLATO </div>
Welcome to this repo. As the development of geometric deep learning and geometry processing, geometry is playing an ever-growing important role in the field of architecture, computational design, and robotic fabrication. Although I am able to write geometric algorithm from time to time, I aim to have a big and thorough picture over this topic. Therefore, I felt compelled to study computational geometry across different subject.
### Structure����
In light of different sources of materials, this repo is organized as follows:
- Book:books: the must read books
- Lecture:school: the popular online lecture
- Library:computer: the popular geometry processing library
- Paper:page_with_curl: the must read paper
- Workshop:video_camera: the short-period of workshop
### Recommended Material:thumbsup:
My recommended study material is followed:
| Name | Type | Link |
| --------------------------------------------------- | ----------------------- | ------------------------------------------------------------ |
| Discrete Differential Geometry, Keenan Crane | Online Lecture | http://geometry.cs.cmu.edu/ddg |
| Digital Geometry Processing, FU Xiaoming | Online Lecture(Chinese) | http://staff.ustc.edu.cn/~fuxm/course/2020_Spring_DGP/index.html |
| Computational Conformal Geometry | Online Lecture | https://www3.cs.stonybrook.edu/~gu/lectures/2020/ |
| Computational Geometry: Algorithms and Applications | Book | https://www.amazon.com/dp/3540779736/ref=cm_sw_em_r_mt_dp_TN2TN09Q61YS2C2D344T |
### Learning progress
##### Discrete Differential Geometry:
- [x] Chapter 01 Overview
- [x] Chapter 02 Combinatorial Surfaces
- [x] Chapter 03 Intro to Differential Geometry
- [ ] Chapter 04 Intro to Exterior Calculus
- [ ] Chapter 05 Curvature of Discrete Surfaces
- [ ] Chapter 06 The Laplacian
- [ ] Chapter 07 Surface Parameterization
- [ ] Chapter 08 Vector Field Decomposition and Design
### Outputs
<img src="Lecture/DiscreteDifferentialGeometry/DDG-Chapter02-Combinatorial-Surfaces/Chapter 02 Combinatorial Surfaces[Lecture-CourseNote].assets/orbits_faces.gif" alt="orbits_faces" style="zoom:67%;" />
<img src="Lecture/DiscreteDifferentialGeometry/DDG-Chapter03-Intro-to-Differential-Geometry/Chapter 03 Intro to Differential Geometry[Lecture-CourseNote].assets/why-tangent-normal-ortho.gif" alt="why-tangent-normal-ortho" style="zoom:50%;" />
<img src="Lecture/DiscreteDifferentialGeometry/DDG-Chapter03-Intro-to-Differential-Geometry/Chapter 03 Intro to Differential Geometry[Lecture-CourseNote].assets/why-tangent-normal-ortho1.gif" alt="why-tangent-normal-ortho1" style="zoom:50%;" />
<img src="Lecture/DiscreteDifferentialGeometry/DDG-Chapter03-Intro-to-Differential-Geometry/Chapter 03 Intro to Differential Geometry[Lecture-CourseNote].assets/curvature-of-curve.gif" alt="curvature-of-curve" style="zoom:50%;" />
### Disclaimer
1.This repo is merely a collection of notes and I highly recommend YOU to learn by yourself.
2.The update of this repo may be very very very slow...
3.Please cite the authors for their contribution!
ComputationalGeometry:计算几何、离散微分几何、计算共形几何.. （235个子文件） 
Chapter 03 Intro to Differential Geometry.3dm 173KB Chapter 03 Intro to Differential Geometry.gh 304KB Chapter 04 Intro to Exterior Calculus.gh 67KB Chapter 02 Combinatioral Surfaces.gh 25KB Chapter 01 Overview.gh 10KB
phase-flow.gif 8.77MB curvature-flow.gif 7.2MB divergence-incompressible.gif 6.31MB fluid-field.gif 5.34MB how_divergence_curl_calculate.gif 3.25MB curl.gif 3.24MB curvature-flow1.gif 2.69MB topological data analysis.gif 2.24MB divergence-positive_flow.gif 2.07MB curl-flow.gif 1.59MB curvature-of-curve.gif 1.29MB divergence-negative.gif 847KB divergence-positive.gif 636KB why-tangent-normal-ortho.gif 132KB why-tangent-normal-ortho1.gif 105KB orbits_faces.gif 11KB orbits_vertices.gif 10KB orbits_edges.gif 9KB
Chapter 01 Overview.html 146KB LICENSE 1KB Chapter 04 Intro to Exterior Calculus[Lecture-CourseNote].md 46KB Chapter 02 Combinatorial Surfaces[Lecture-CourseNote].md 25KB Chapter 03 Intro to Differential Geometry[Lecture-CourseNote].md 22KB Chapter 01 Overview.md 10KB Chapter 03 Intro to Differential Geometry[Reading-WrittenExercise].md 5KB README.md 3KB Chapter 9 Geodesic[Lecture-CourseNote].md 3KB TOC_Paper.md 9B TOC_Book.md 9B TOC_Library.md 9B TOC_Lecture.md 9B TOC_Workshop.md 9B
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