A Continuous 3-D Medial Shape Model With Branching

We present a new, continuously defined three-dimensional medial shape representation based on subdivision surfaces. The shape is modeled via its medial axis, and the associated boundary is computed directly from this axis at every point. Our model is parameterized over a fixed domain, so comparison among dierent shapes is possible. It is the first such model to support branch curves, which allows it to represent complex medial axes with more than one medial sheet.