4 papers
Poisson Flow and Wasserstein Registration of Trees
Moo K. Chung
Tree-like structures arise in numerous imaging applications, including vascular networks, neuronal arbors, airway trees, and cortical sulcal--gyral folding. We present a nonlinear…
Sulcal Pattern Matching with the Wasserstein Distance
Zijian Chen, Soumya Das, Moo K. Chung
We present the unified computational framework for modeling the sulcal patterns of human brain obtained from the magnetic resonance images. The Wasserstein distance is used to alig…
Cosine Series Representation
Moo K. Chung
We present a functional data analysis (FDA) framework based on explicit orthonormal basis expansion for modeling and denoising complex biomedical signals. Observed functional data…
Hodge-Decomposition of Functional Brain Networks
D. Vijay Anand, Anass B El-Yaagoubi, Hernando Ombao +1
We propose to analyze dynamically changing brain networks by decomposing them into three orthogonal components through the Hodge decomposition. We propose to quantify the magnitude…