Boundary Element Method

A Full-Wave Reference Simulator for Computing Surface Reflectance

Yunchen Yu, Mengqi (Mandy) Xia, Bruce Walter, Eric Michielssen, Steve Marschner

Journal meta-only SIGGRAPH 2023 Rendering

Surface Reflectance Wave Optics Boundary Element Method Full-Wave Simulation GPU

Biharmonic Coordinates and their Derivatives for Triangular 3D Cages

Jean-Marc Thiery, Élie Michel, Jiong Chen

Journal meta-only SIGGRAPH 2024 Geometry & Modeling

Biharmonic Coordinates Cage-Based Deformation Boundary Element Method Barycentric Coordinates Geometry Processing Closed-Form Derivatives Triangular Cages

Polynomial 2D Biharmonic Coordinates for High-order Cages

Shibo Liu, Tielin Dai, Ligang Liu, Xiao-Ming Fu

Journal SIGGRAPH 2025 Geometry & Modeling

Biharmonic Coordinates Cage-based Deformation High-order Cage Boundary Element Method Bezier Curve Barycentric Coordinates 2D Deformation

Variational Green and Biharmonic Coordinates for 2D Polynomial Cages

Élie Michel, Alec Jacobson, Siddhartha Chaudhuri, Jean-Marc Thiery

Journal SIGGRAPH 2025 Geometry & Modeling

Cage-Based Deformation Green Coordinates Biharmonic Coordinates Polynomial Cages Harmonic Functions Conformal Deformation Variational Shape Deformation Boundary Element Method 2D Shape Editing

An Adaptive Fast-Multipole-Accelerated Hybrid Boundary Integral Equation Method for Accurate Diffusion Curves

Seungbae Bang, Kirill Serkh, Oded Stein, Alec Jacobson

Journal SIGGRAPH Asia 2023 Rendering

Diffusion Curve Boundary Element Method Boundary Integral Equation Method Fast Multipole Method Vector Graphics