UFII Fellows Journal Club Seminar Series 

“Polyhedral Spline Modeling”

by Kyle Lo
Ph.D. Candidate, SurfLab and Department of Computer & Information Science & Engineering

Monday, March 21, 2022 HYBRID: In-person with lunch at 11:30AM; live and zoom talk at noon

ABSTRACT:

Point clouds or triangle meshes are not efficient for 3D modeling or physical simulation due to a lack of structure and high-level control. Tensor-product (B-)splines are instead used in industry, both for high-end design and finite element analysis (FEA); but conversion is difficult and, due to the grid structure of the tensor-product, pieces need to be carefully cut and reassembled to be able to approximate shape. Polyhedral splines enable gap-free surfaces controlled by sparse polyhedral control nets. Each net can be viewed as a point in high-dimensional shape space.

This work aims to automatically model 3D shapes by polyhedral splines via the classical approach of splitting the nonlinear task. (a) given connectivity of the control net, optimize the placement of the control points. (b) optimizing the control net connectivity graph (topology). Determining the topology is by far the harder task related to integer optimization problems. To avoid NP-completeness, we have experimented with extracting the topology from 3D shape voxelization and, alternatively, tracing geodesic paths or principle curvature to generate a cross-field of 3D surface data and obtain the coarse layout as the control net.

Bio:

Kyle Lo is a Ph.D. candidate in the SurfLab and Department of Computer & Information Science & Engineering at the University of Florida, advised by Dr. Jorg Peters. Kyle’s research is focused on 3D surface modeling and retopology.

Monday, March 21, 2022
12:00PM – 1:00PM
Lunch will serve at 11:30AM
When you register below, please indicate if you will be attending in-person or via zoom. Zoom invite will be sent out the day before the talk.