Geometry Processing
October 5, 2022 · View on GitHub
Wikipedia progress?
Geometry processing: Revision history
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HW01
"wrapping up" registration
Smoothing
Smoothing a data signal on a surface
Smoothing a surface itself
Smoothing 1D data
Small stable explicit time step
Small unstable explicit time step
Big stable implicit time step
Final Project Idea: point based geometry processing
"Point-Based Manifold Harmonics"
[Liu et al. 2012]
Final Project Idea: Approximate geodesic distances on surfaces
"Geodesics in Heat: A New Approach to Computing Distance Based on Heat Flow"
[Crane et al. 2013]
Final Project Idea: robust smoothing
"Robust Fairing via Conformal Curvature Flow"
[Crane et al. 2013]
"Can Mean-Curvature Flow Be Made Non-Singular?"
[Kazhdan et al. 2012]
Final Project Idea: non-rigid alignment
"Global correspondence optimization for non-rigid registration of depth scans"
[Li et al. 2008]
"Sparse Iterative Closest Point" [Bouaziz et al. 2013]
Other ideas
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Segmentation of interior and exterior of triangle soup meshes "Robust Inside-Outside Segmentation using Generalized Winding Numbers" [Jacobson et al. 2013]
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Interactive animation and posing by linearly blending handle transformations "Bounded Biharmonic Weights for Real-Time Deformation" [Jacobson et al. 2013]
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Physically based simulation of 1D space curves ("rods") "Discrete Elastic Rods" [Bergou et al. 2008]
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Building a table of counterexamples for discrete Laplacians "Discrete Laplace operators: No free lunch" [Wardetzky et al. 2007]
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Modal analysis for deformation. "Good vibrations: modal dynamics for graphics and animation" [Pentland & Williams 1989], "Real-Time Subspace Integration for St.Venant-Kirchhoff Deformable Models" [Barbič & James 2005]
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Efficient solver for Poisson Surface Reconstruction "Screened Poisson Surface Reconstruction" [Kazhdan & Hoppe 2013] "Parallel Poisson Surface Reconstruction" [Bolitho et al. 2009] "Poisson Surface Reconstruction" [Kazhdan et al. 2006]