We introduce a volumetric space-time technique for the reconstruction
of moving and deforming objects from point data.
The output
of our method is a four-dimensional space-time solid, made up of
spatial slices, each of which is a three-dimensional solid bounded
by a watertight manifold.
We introduce Localized Components Analysis (LoCA) for describing surface shape variation in an ensemble of biomedical objects using a linear subspace of spatially localized shape components.
In contrast to earlier methods, LoCA optimizes explicitly for localized components and allows a flexible trade-off between localized and concise representations.
Given geometric computer models of
anatomical shapes for some collection of specimens - here the
skulls of the some of the extant members of a family of monkeys
- an evolutionary tree for the group implies a hypothesis about the
way in which the shape changed through time.
We introduce a technique to visualize the gradual evolutionary
change of the shapes of living things as a morph between known
three-dimensional shapes.