8 papers
Verifier-Guided Synthetic Augmentation for 3D Human Shape Generation
Yuexuan Wu, Yang Xiang, Hamid Laga +3
Limited training data diversity constrains generative modeling of 3D human bodies: conservative models remain close to observed examples, whereas exploratory models often violate b…
Smooth Reparameterizations of Functions on Simplicial Product Spaces: Applications to Probabilistic Tensor Decomposition and Functional Data Registration
Shashwat Kumar, Arafat Rahman, Anuj Srivastava +1
We consider optimization problems defined on product spaces of simplices. Examples of this class of problems include learning low-rank discrete multivariate probability distributio…
TreeSRNF: Square-Root Normal Fields for Generative Modelling of the Geometric and Structural Variability in Tree-like 3D Objects
Tahmina Khanam, Hamid Laga, Mohammed Bennamoun +4
We introduce a novel mathematical framework for analyzing and generating complex tree-shaped 3D objects, such as botanical trees and plants, which deform both in their 3D geometry…
Bayesian In Vivo Tracking of Synapses using Joint Poisson Deconvolution and Diffeomorphic Registration
Shashwat Kumar, Dominic M. Padova, Binish Narang +6
Synapses are densely packed submicron structures that dynamically reorganize during learning and memory formation. Longitudinal \textit{in vivo} imaging of fluorescently tagged syn…
An Elastic Shape Variational Autoencoder for Skeleton Pose Trajectories
Arafat Rahman, Shashwat Kumar, Laura E. Barnes +1
Deep generative models provide flexible frameworks for modeling complex, structured data such as images, videos, 3D objects, and texts. However, when applied to sequences of human…
A Riemannian Framework for the Elastic Analysis of the Spatiotemporal Variability in the Shape and Structure of Tree-like 4D Objects
Tahmina Khanam, Hamid Laga, Mohammed Bennamoun +5
This paper introduces a novel computational framework for modeling and analyzing the spatiotemporal shape variability of tree-like 4D structures whose shapes deform and evolve over…
Dynamic Neural Surfaces for Elastic 4D Shape Representation and Analysis
Awais Nizamani, Hamid Laga, Guanjin Wang +3
We propose a novel framework for the statistical analysis of genus-zero 4D surfaces, i.e., 3D surfaces that deform and evolve over time. This problem is particularly challenging du…
A Riemannian Approach for Spatiotemporal Analysis and Generation of 4D Tree-shaped Structures
Tahmina Khanam, Hamid Laga, Mohammed Bennamoun +5
We propose the first comprehensive approach for modeling and analyzing the spatiotemporal shape variability in tree-like 4D objects, i.e., 3D objects whose shapes bend, stretch, an…