Adaptive Grid Generation for Discretizing Implicit Complexes

Yiwen Ju, Xingyi Du, Qingnan Zhou, Nathan Carr, Tao Ju

Project Code

• The method generates a simplicial grid for adaptive discretization of implicit complexes, extending beyond implicit surfaces to represent non-smooth, non-manifold structures.

• Unlike existing techniques, it adapts to both surfaces and their lower-dimensional intersections, improving accuracy and detail preservation.

• It supports implicit surface arrangements, CSG shapes, material interfaces, and curve networks, enhancing versatility in geometric modeling.

• The approach enables efficient, high-fidelity discretization for applications in graphics, material science, and simulations.

TopoRoot+: Computing Whorl and Soil Line Traits of Maize Roots from CT Imaging

Yiwen Ju, Alexander E. Liu, Kenan Oestreich, Christopher N. Topp, Tao Ju

Project

• Performs Fine-grained root trait extraction based on TopoRoot and provides detailed architectural traits (e.g., root number, length, thickness, angle, hierarchy) from 3D maize root CT images, addressing gaps in existing methods.

• Outperforms existing methods on real and simulated root images, improving precision in trait measurement.

• Demonstrated utility in differentiating root mutants from wild types, aiding genetic studies of root architecture and crop productivity.

TopoRoot: a method for computing hierarchy and fine-grained traits of maize roots from 3D imaging

Dan Zeng, Mao Li, Ni Jiang, Yiwen Ju, Hannah Schreiber, Erin Chambers, David Letscher, Tao Ju & Christopher N. Topp

Project

• Computes fine-grained root traits (e.g., number, length, thickness, angle, tortuosity, branching) from 3D images.

• Uses topological simplification, geometric skeletonization, and customized heuristics to improve accuracy.

• Validated on real and simulated maize root images, outperforming existing methods.

• Runs autonomously within minutes on a desktop with minimal human input.

• Enables large-scale phenomic studies for genetic research and crop productivity improvements.