Research map / Probabilistic and scientific modeling / Variational and generative sampling
Lifting Vectorial Variational Problems: A Natural Formulation Based on Geometric Measure Theory and Discrete Exterior Calculus
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use discrete exterior calculus instead of forward differences | Lifted total variation problems · Total variation minimization examples | isotropy | Helped |
| Use discrete exterior calculus instead of forward differences | Lifted total variation problems · Total variation minimization examples | discontinuity sharpness | Helped |
| Enforce the dual constraints between discretization points (ablation) | DEC stereo matching · Stereo matching example | label accuracy | Helped |
| Use the lifted DEC discretization | Brachistochrone · Brachistochrone example | agreement with analytical cycloid | Helped |
| Use the current lifting with polyconvex surface-area regularization | Global shape registration · Global registration example | correspondence smoothness and inverse consistency | Helped |
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