### Tuesday, November 4

## IP3

Subdivision Schemes for Variational Problems

8:30 AM-9:15 AM

*Chair: Tony DeRose, Pixar Animation Studios*

*Room: Belle Meade*

The original theory of splines grew out of the study of simple variational problems. A spline was a smooth function that minimized some notion of energy subject to a set of interpolation constraints. A more recent method for creating splines is subdivision. In this framework, a spline is the limit of a sequence of functions, each related by a simple averaging rule.

The speaker will show that the two ideas are intrinsically related. Specifically, the solution space to a wide range of variational problems can be captured as a spline space defined through subdivision.

**Joe Warren**

*Department of Computer Science*

*Rice University*

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*tjf, 7/3/97*