Cage-Based Deformation

Polynomial 2D Green Coordinates for Polygonal Cages

Élie Michel, Jean-Marc Thiery

Conference meta-only SIGGRAPH 2023 Geometry & Modeling
Cage-Based Deformation Green Coordinates Conformal Mapping 2D Deformation Polynomial Curves

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

Stochastic Computation of Barycentric Coordinates

Fernando de Goes, Mathieu Desbrun

Journal meta-only SIGGRAPH 2024 Geometry & Modeling
Barycentric Coordinates Monte Carlo Method Cage-Based Deformation Geometry Processing

Flexible 3D Cage-based Deformation via Green Coordinates on Bézier Patches

Dong Xiao, Renjie Chen

Conference SIGGRAPH 2025 Geometry & Modeling
Cage-based Deformation Green Coordinates Bézier Surface Geometry Processing Shape Deformation

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

Variational Barycentric Coordinates

Ana Dodik, Oded Stein, Vincent Sitzmann, Justin Solomon

Journal meta-only SIGGRAPH Asia 2023 Geometry & Modeling
Barycentric Coordinates Neural Fields Cage-Based Deformation Variational Optimization Geometry Processing

C^0 Generalized Coons Patches for High-order Cage-based Deformation

Kaikai Qin, Yunhao Zhou, Chenhao Ying, Yajuan Li, Chongyang Deng

Journal SIGGRAPH Asia 2024 Geometry & Modeling
Cage Based Deformation Transfinite Interpolation Coons Patch Generalized Barycentric Coordinates Free Form Deformation CAGD

Polynomial Cauchy Coordinates for Curved Cages

Zhehui Lin, Renjie Chen

Conference meta-only SIGGRAPH Asia 2024 Geometry & Modeling
Cage Based Deformation Cauchy Coordinates Conformal Mapping Curved Cages Polynomial Curves

Closed-form Cauchy Coordinates and Their Derivatives for 2D High-order Cages

Shibo Liu, Ligang Liu, Xiao-Ming Fu

Conference SIGGRAPH Asia 2025 Geometry & Modeling
Cage Based Deformation Cauchy Coordinates Conformal Mapping High-order Cages Bezier Curves Residue Theorem