• Brittan Farmer
  • October 12, 1 PM (back to our normal time)
  • 2866 East Hall

Level sets are a way of representing codimension one objects, such as curves in the plane or surfaces in 3-D space. In this talk, I will introduce this representation and describe some of its advantages and disadvantages compared with other representations. I will describe the weighted minimal surface problem and discuss how level sets can be used to approximate the solution to this problem numerically. Finally, I will illustrate the use of such a solution for creating a surface representation of unorganized point clouds. This talk will be accessible to graduate students and undergraduate students who are familiar with multivariable calculus and partial differential equations.