Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, October 12, 2020 - 12:00 to 12:50

Location:

Zoom - Please contact Christine Escher for a link.

Local Speaker:

Abstract:

An important problem in computer graphics is to determine where contour lines and ridges appear in a surface constructed from a triangle mesh. In this presentation we will investigate a new answer to this problem -- the horizon measure. The horizon measure determines the likelihood of contour lines to appear in a triangle on a mesh surface. Using classical results from spherical geometry we can obtain a closed-form formula for the horizon measure of a mesh triangle. The connections between the horizon measure and the Gaussian curvature of a surface will be discussed, as well as the applications of the horizon measure to computer graphics.

Host: