Skip to content

Latest commit

 

History

History
122 lines (73 loc) · 3.24 KB

smoothing.md

File metadata and controls

122 lines (73 loc) · 3.24 KB
Raw

Geometry Processing – Smoothing

Wikipedia progress?

Geometry processing: Revision history

Needs images!

Geometry processing category

Category entry mining?

HW01

HW01

"wrapping up" registration

new notes for last lecture

Smoothing

Smoothing a data signal on a surface

Smoothing a surface itself

Smoothing 1D data

MATLAB Demo

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

<iframe width="560" height="315" src="https://www.youtube.com/embed/aCSxkfducnw" frameborder="0" allowfullscreen></iframe>

"Geodesics in Heat: A New Approach to Computing Distance Based on Heat Flow"
[Crane et al. 2013]

Final Project Idea: robust smoothing

<iframe width="560" height="315" src="https://www.youtube.com/embed/mIUi1zIUQJw" frameborder="0" allowfullscreen></iframe>

"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

<iframe width="560" height="315" src="https://www.youtube.com/embed/wLXtZes2ojQ" frameborder="0" allowfullscreen></iframe>

"Global correspondence optimization for non-rigid registration of depth scans"
[Li et al. 2008]

<iframe width="560" height="315" src="https://www.youtube.com/embed/ii2vHBwlmo8" frameborder="0" allowfullscreen></iframe>

"Sparse Iterative Closest Point" [Bouaziz et al. 2013]

Other ideas

  • Segmentation of interior and exterior of triangle soup meshes "Robust Inside-Outside Segmentation using Generalized Winding Numbers" [Jacobson et al. 2013]

  • Interactive animation and posing by linearly blending handle transformations "Bounded Biharmonic Weights for Real-Time Deformation" [Jacobson et al. 2013]

  • Physically based simulation of 1D space curves ("rods") "Discrete Elastic Rods" [Bergou et al. 2008]

  • Building a table of counterexamples for discrete Laplacians "Discrete Laplace operators: No free lunch" [Wardetzky et al. 2007]

  • 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]

  • 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]