FSUMATH

Qiuping Xu


BIOMATHEMATICS SEMINAR

Speaker: Qiuping Xu
Title: Splines on Manifold Domains and Applications in Facial Modeling
Affiliation: Florida State University
Date: Wednesday, October 8, 2014
Place and Time: Room 200, Love Building, 3:35 pm

Abstract. Splines are used in shape analysis and many other disciplines for interpolation, approximation and regression. However, most spline methods have been focused on Euclidean domains. As data modeled on manifolds occur often, constructing spline with manifold domains and developing effective computational methods for such spline are desirable.

In this talk, we will present a general theoretical framework for manifold domains. Additionally, we will present an algorithm to compute such splines. The advantages of this framework will be demonstrated through various examples on domains with and without boundary by comparing performance with other commonly used methods. This method has been applied to facial analysis using dense surface models of human facial shape. These models not only provide dramatic visualizations, but also allow accurate modeling of 3D facial shape variation.