How Scikit-Shapes works

Features

• Computing local moments

Tasks

• Overview of the registration algorithm

Loss functions

• Landmarks
• Closest points, Hausdorff distances and log-likelihoods
• Kernels, MMDs and electrostatic potentials
• Optimal transport, Wasserstein and Earth Mover’s Distances
• Writing a custom loss function

Deformation models

Affine transformations:

• Translations
• Rigid transformations (translation + rotation)
• Rigid ICP (Iterative Closest Point)
• Similarities (translation + rotation + scaling)
• Affine transformations (translation + rotation + scaling + shearing)

Free-form deformations:

• Linear models - general case
• Linear models - parameterized by displacement
• Linear models - parameterized by momentum
• Linear models - parameterized by latent code
• Thin plate splines

Multi-affine “elastic” models:

• Multi-affine deformations
• Piece-wise rigid transformations
• As-Rigid-As-Possible (ARAP) Deformations
• Hookean elastic material
• Extended Position-Based Dynamics (XPBD)
• Hookean elastic material with XPBD
• Neo-Hookean elastic material with XPBD