Weixian (Kai) Lan

Weixian (Kai) Lan

PhD student in Computer Science

University of California, Davis

Biography

I am a third-year PhD student at University of California, Davis. Broadly speaking, my research interests lie in AI applications in computer graphics and vision. Recently, I am passionate about text-guided 3D content generation, and explore their potential for game animation.

I am looking for research internships or collaborations. Please reach out to me if you have any opportunities.

Interests
  • Computer graphics
  • Computer vision
  • Artificial intelligence
  • Numerical analysis
  • Machine learning
Education

  • PhD in Computer science, in progress

    University of California, Davis

  • BSc in Computer science, Mathematics, 2021

    University of Northern British Columbia (UNBC)

Publications

A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions
We introduce a neural-preconditioned iterative solver for Poisson equations with mixed boundary conditions. The Poisson equation is …
Weixian (Kai) Lan, Elias Gueidon, Ayano Kaneda, Julian Panetta, Joseph Teran
PDF Cite Code DOI
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions
Efficient Layer-by-Layer Simulation for Topology Optimization
Topology optimization and additive manufacturing together enable the optimal design and direct fabrication of complex geometric parts …
Weixian (Kai) Lan, Julian Panetta
PDF Cite Code DOI
Efficient Layer-by-Layer Simulation for Topology Optimization

Projects

Fluid simluation for incompressible flow
Implemented fluid simulation for incompressible Euler’s equations.
Code
Fluid simluation for incompressible flow
Finite Element Method for Elasticity
Implemented Lagrangian finite element method for elasiticy problems.
Code
Anomaly Detection Using Voronoi *k*-distance
Study of a computational method for generating Voronoi partitions and density-based outlier detection by means of the Voronoi k-distace measure
PDF Code
Anomaly Detection Using Voronoi *k*-distance
The Lattice for Finding Conserved Quantities of Dynamical System
Introduced a systematic approach to finding a special form of conserved quantity for polynomial systems by solving a sequence of linear recurrences equations
PDF Slides
The Lattice for Finding Conserved Quantities of Dynamical System
A Survey of Mathematical Cryptography
An overview on history of cryptography, from primitive Julius Caesar to modern elliptic curve ctyptography
PDF
A Survey of Mathematical Cryptography
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