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CMSC828Z: Description of Project 5 - Extraction of Surfaces from temporally varying Volume Data

This project is closely related to project 5 and it might be a good idea that the two students who work on projects 4 and 5 closely collaborate. The goal of this project is to extend algorithms that convert between parametric and implicit descriptions of three-dimensional shapes to the temporally-varying case. It seems relatively straightforward to extend a tool like the Closest Point Transform by Sean Mauch to the 4D case, but it would be very interesting to examine how one could extend the approaches belowto the higher dimensional case

• P. Bhaniramka, R. Wenger, and R. Crawfis. Isosurfacing in higher dimensions. In Visualization, Salt Lake City, Utah, 2000. IEEE Computer Society Press.
• Leif Kobbelt, Mario Botsch, Ulrich Schwanecke, and Hans-Peter Seidel. Feature sensitive surface extraction from volume data. In Proc. of ACM SIGGRAPH, 2001.
• Zoë Wood, Mathieu Desbrun, Peter Schröder, and David Breen. Semi-regular mesh extraction from volumes. In Proceedings of Visualization, 2000.

The goal of this project is to have a procedure that converts a sequence of triangular subdivision meshes into a four dimensional distance field, and a procedure that converts an isosurface in four-dimensional space into a sequence of subdivision surfaces.