“Canopy fingerprints” for characterizing three-dimensional point cloud data of soybean canopies
Advances in imaging hardware allow high throughput capture of the detailed three-
dimensional (3D) structure of plant canopies. The point cloud data is typically post …
dimensional (3D) structure of plant canopies. The point cloud data is typically post …
A discrete approach to the prescribed Gaussian curvature problem
T Wu - arXiv preprint arXiv:2312.11877, 2023 - arxiv.org
We propose a discrete approach to approximate the solution for the prescribed Gaussian
curvature problem in 2-dimensional manifolds, based on the notion of discrete conformality …
curvature problem in 2-dimensional manifolds, based on the notion of discrete conformality …
Flows of piecewise analytic vector fields in convex polytope decompositions
T Wu - arXiv preprint arXiv:2312.01698, 2023 - arxiv.org
We prove that for a convex polytope decomposition of a domain in $\mathbb R^ n $, an
integral curve of a piecewise analytic vector field is chopped by the decomposition into …
integral curve of a piecewise analytic vector field is chopped by the decomposition into …
Graph Convolutional Networks for Learning Laplace-Beltrami Operators
Y Wu, R Fu, R Peng, Q Chen - ICML 2024 Workshop on Geometry …, 2024 - openreview.net
Recovering a high-level representation of geometric data is a fundamental goal in geometric
modeling and computer graphics. In this paper, we introduce a data-driven approach to …
modeling and computer graphics. In this paper, we introduce a data-driven approach to …
A characterization of the polyhedral metrics on triangulated surfaces
T Wu - arXiv preprint arXiv:2312.01704, 2023 - arxiv.org
Given a triangulated surface, a polyhedral metric could be constructed by gluing Euclidean
triangles edge-to-edge. We carefully describe the construction and prove that such a …
triangles edge-to-edge. We carefully describe the construction and prove that such a …