Robert Ghrist : Sheaves and Sensors

This work is motivated by a fundamental problem in sensor networks -- the need to aggregate redundant sensor data across a network. We focus on a simple problem of enumerating targets with a network of sensors that can detect nearby targets, but cannot identify or localize them. We show a clear, clean relationship between this problem and the topology of constructable sheaves. In particular, an integration theory from sheaf theory that uses Euler characteristic as a measure provides a computable, robust, and powerful tool for data aggregation.

• Category: Presentations
• Duration: 01:34:30
• Date:  January 17, 2008 at 4:25 PM
• Views: 205
• Tags:   seminar, Department of Mathematics Seminar