Digital geometry

Schedule

• Lecture nr. 1: Geometric representations of 3D objects

• Lecture nr. 2: Meshes
  • Practical nr. 1: Introduction to the PMP-Lib library

• Lecture nr. 3: Discrete differential geometry
  • Practical nr. 2: Mesh qualities

• Lecture nr. 4: Mesh smoothing and simplification
  • Practical nr. 3: Surface smoothing

• Lecture nr. 5: Surface remeshing
  • Practical nr. 4: Surface remeshing

• Lecture nr. 6: Point cloud processing

• Project following an agile methodology

Mathematical prerequisites (in alphabetical order)

• Differentiability classes
• Embedding
• Homogeneous coordinates
• Nabla operator (also gradient, divergence, Laplacian)
• Spectral decomposition of a symmetric matrix