Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Matrix animation and polar decomposition
Proceedings of the conference on Graphics interface '92
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Arc-Length-Based Axial Deformation and Length Preserved Animation
CA '97 Proceedings of the Computer Animation
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
ACM SIGGRAPH 2003 Papers
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Local Control for Mesh Morphing
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Differential Coordinates for Interactive Mesh Editing
SMI '04 Proceedings of the Shape Modeling International 2004
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Pyramid Coordinates for Morphing and Deformation
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2005 Papers
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Large mesh deformation using the volumetric graph Laplacian
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
A sketch-based interface for detail-preserving mesh editing
ACM SIGGRAPH 2005 Papers
Dual Laplacian Editing for Meshes
IEEE Transactions on Visualization and Computer Graphics
Material-Aware Mesh Deformations
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
A fast multigrid algorithm for mesh deformation
ACM SIGGRAPH 2006 Papers
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Inverse kinematics for reduced deformable models
ACM SIGGRAPH 2006 Papers
Graphical Models - Special issue on SPM 05
2D shape deformation using nonlinear least squares optimization
The Visual Computer: International Journal of Computer Graphics
Geometrically based potential energy for simulating deformable objects
The Visual Computer: International Journal of Computer Graphics
Volume and shape preservation via moving frame manipulation
ACM Transactions on Graphics (TOG)
FiberMesh: designing freeform surfaces with 3D curves
ACM SIGGRAPH 2007 papers
Embedded deformation for shape manipulation
ACM SIGGRAPH 2007 papers
Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics
ACM SIGGRAPH 2007 papers
Handle-aware isolines for scalable shape editing
ACM SIGGRAPH 2007 papers
Gradient domain editing of deforming mesh sequences
ACM SIGGRAPH 2007 papers
Direct manipulation of subdivision surfaces on GPUs
ACM SIGGRAPH 2007 papers
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Model transduction for triangle meshes
Journal of Computer Science and Technology
Customizing 3D garments based on volumetric deformation
Computers in Industry
Computer-Aided Design
A User-editable C1-Continuous 2.5D Space Deformation Method For 3D Models
Electronic Notes in Theoretical Computer Science (ENTCS)
A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space
Journal of Mathematical Imaging and Vision
Real-time content-aware texturing for deformable surfaces
Proceedings of the 10th European Conference on Visual Media Production
Differential-Based Geometry and Texture Editing with Brushes
Journal of Mathematical Imaging and Vision
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This survey reviews the recent development of gradient domain mesh deformation method. Different to other deformation methods, the gradient domain deformation method is a surface-based, variational optimization method. It directly encodes the geometric details in differential coordinates, which are also called Laplacian coordinates in literature. By preserving the Laplacian coordinates, the mesh details can be well preserved during deformation. Due to the locality of the Laplacian coordinates, the variational optimization problem can be casted into a sparse linear system. Fast sparse linear solver can be adopted to generate deformation result interactively, or even in real-time. The nonlinear nature of gradient domain mesh deformation leads to the development of two categories of deformation methods: linearization methods and nonlinear optimization methods. Basically, the linearization methods only need to solve the linear least-squares system once. They are fast, easy to understand and control, while the deformation result might be suboptimal. Nonlinear optimization methods can reach optimal solution of deformation energy function by iterative updating. Since the computation of nonlinear methods is expensive, reduced deformable models should be adopted to achieve interactive performance. The nonlinear optimization methods avoid the user burden to input transformation at deformation handles, and they can be extended to incorporate various nonlinear constraints, like volume constraint, skeleton constraint, and so on. We review representative methods and related approaches of each category comparatively and hope to help the user understand the motivation behind the algorithms. Finally, we discuss the relation between physical simulation and gradient domain mesh deformation to reveal why it can achieve physically plausible deformation result.