Deep Ritz Method with Adaptive Quadrature for Linear Elasticity

Deep Ritz Method with Adaptive Quadrature for Linear Elasticity

Min Liu, Zhiqiang Cai, Karthik Ramani
Computer Methods in Applied Mechanics and Engineering Vol. 415 116229 (2023)

In this paper, we study the deep Ritz method for solving the linear elasticity equation from a numerical analysis perspective. A modified Ritz formulation using the H1/2(ΓD) norm is introduced and analyzed for linear elasticity equation in order to...

The Design of a Virtual Prototyping System for Authoring Interactive Virtual Reality Environments From Real-World Scans

The Design of a Virtual Prototyping System for Authoring Interactive Virtual Reality Environments From Real-World Scans

Ananya Ipsita*, Runlin Duan*, Hao Li*, Subramanian Chidambaram, Yuanzhi Cao, Min Liu, Alex Quinn, Karthik Ramani
in ASME. J. Comput. Inf. Sci. Eng. March 2024

Domain users (DUs) with a knowledge base in specialized fields are frequently excluded from authoring virtual reality (VR)-based applications in corresponding fields. This is largely due to the requirement of VR programming expertise needed to...

VRFromX: From Scanned Reality to Interactive Virtual Experience with Human-in-the-Loop

VRFromX: From Scanned Reality to Interactive Virtual Experience with Human-in-the-Loop

Ananya Ipsita, Hao Li, Runlin Duan, Yuanzhi Cao, Subramanian Chidambaram, Min Liu, Karthik Ramani
In Extended Abstracts of the 2021 CHI Conference on Human Factors in Computing Systems

There is an increasing trend of Virtual-Reality (VR) applications found in education, entertainment, and industry. Many of them utilize real world tools, environments, and interactions as bases for creation. However, creating such applications is...

Deep Learning 3D Shapes Using ALT-AZ Anisotropic 2-Sphere Convolution

Deep Learning 3D Shapes Using ALT-AZ Anisotropic 2-Sphere Convolution

Min Liu, Fupin Yao, Chiho Choi, Sinha Ayan, and Karthik Ramani
In proceedings of Seventh International Conference on Learning Representations (ICLR), New Orleans, May 6-9, 2019

The ground-breaking performance obtained by deep convolutional neural networks (CNNs) for image processing tasks is inspiring research efforts attempting to extend it for 3D geometric tasks. One of the main challenge in applying CNNs to 3D shape...

WireFab: Mix-Dimensional Modeling and Fabrication for 3D Mesh Models

WireFab: Mix-Dimensional Modeling and Fabrication for 3D Mesh Models

Min Liu, Yunbo Zhang, Jing Bai, Yuanzhi Cao, Jeffrey Alperovich, Karthik Ramani
In Proceedings of the ACM Conference on Human Factors in Computing Systems (CHI 2017: 965-976), Denver, CO, May 6-11, 2017 (Acceptance Rate: 25%)

We propose WireFab, a rapid modeling and prototyping system that uses bent metal wires as the structure framework. WireFab approximates both the skeletal articulation and the skin appearance of the corresponding virtual skin meshes, and it allows...