"Piecewise Linear Simplifications of Geometries: Variational Shape Approximation of Point Set Surfaces"

Dear All,

Mathematics, Mechanics, and Materials Unit (Fried Unit) would like to invite you to a Seminar by Dr. Martin Skrodzki, iTHEMS program, RIKEN.

Date: Tuesday, November 10, 2020
Time: 15:00-16:00
Venue: L4E01, Level E, Lab4

Join Zoom Meeting
https://oist.zoom.us/j/98605856087
Meeting ID: 986 0585 6087

Speaker:
Dr. Martin Skrodzki, iTHEMS program, RIKEN

Title:
Piecewise Linear Simplifications of Geometries: Variational Shape Approximation of Point Set Surfaces

Abstract:
In this talk, we present a translation of the complete pipeline for variational shape approximation (VSA) to the setting of point sets. First, we consider an explicit example for the theoretically known non-convergence of the currently available VSA approaches. The example motivates us to introduce an alternate version of VSA based on a switch operation for which we prove convergence. Second, we discuss how two further operations – split and merge – can be included in a fully automatic pipeline that is in turn independent of the placement and number of initial seeds. Third and finally, we present two approaches how to obtain a simplified mesh from the output of the VSA procedure.