6 papers
Analysis validation of a new continuum model for the evolution of grain boundaries in polycrystalline materials
Peicheng Zhu, Xiaoxue Qin, Yang Xiang
To describe the evolution of grain boundaries based on the underlying microscopic mechanisms of line defects (disconnections) and the integrated effects of a diverse range of therm…
A Convergent ADMM Algorithm for Grain Boundary Energy Minimization
Yue Wu, Luchan Zhang, Yang Xiang
In this paper, we study a constrained minimization problem that arise from materials science to determine the dislocation (line defect) structure of grain boundaries. The problems…
A unified variational model for grain boundary dynamics incorporating microscopic structure
Luchan Zhang, Xiaoxue Qin, Yang Xiang
Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying…
ElasticLaneNet: An Efficient Geometry-Flexible Approach for Lane Detection
Yaxin Feng, Yuan Lan, Luchan Zhang +1
The task of lane detection involves identifying the boundaries of driving areas in real-time. Recognizing lanes with variable and complex geometric structures remains a challenge.…
Elastic Interaction Energy-Informed Real-Time Traffic Scene Perception
Yaxin Feng, Yuan Lan, Luchan Zhang +2
Urban segmentation and lane detection are two important tasks for traffic scene perception. Accuracy and fast inference speed of visual perception are crucial for autonomous drivin…
Energy stable neural network for gradient flow equations
Yue Wu, Tianyu Jin, Chuqi Chen +4
We propose an energy stable network (EStable-Net) for solving gradient flow equations. The EStable-Net enables decreasing of a discrete energy along the neural network, which is co…