Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
A physically based approach to 2–D shape blending
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
2-D shape blending: an intrinsic solution to the vertex path problem
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
As-rigid-as-possible shape interpolation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Convergence of a block coordinate descent method for nondifferentiable minimization
Journal of Optimization Theory and Applications
Linear combination of transformations
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Shape Blending Using the Star-Skeleton Representation
IEEE Computer Graphics and Applications
Differential Coordinates for Interactive Mesh Editing
SMI '04 Proceedings of the Shape Modeling International 2004
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
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
Image deformation using moving least squares
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
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Polypostors: 2D polygonal impostors for 3D crowds
Proceedings of the 2008 symposium on Interactive 3D graphics and games
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2008 papers
Rigid shape interpolation using normal equations
NPAR '08 Proceedings of the 6th international symposium on Non-photorealistic animation and rendering
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
As-rigid-as-possible image registration for hand-drawn cartoon animations
Proceedings of the 7th International Symposium on Non-Photorealistic Animation and Rendering
Compatible Embedding for 2D Shape Animation
IEEE Transactions on Visualization and Computer Graphics
Energy-based image deformation
SGP '09 Proceedings of the Symposium on Geometry Processing
Controllable conformal maps for shape deformation and interpolation
ACM SIGGRAPH 2010 papers
Motion-based video retargeting with optimized crop-and-warp
ACM SIGGRAPH 2010 papers
Parametric reshaping of human bodies in images
ACM SIGGRAPH 2010 papers
Bounded biharmonic weights for real-time deformation
ACM SIGGRAPH 2011 papers
Interactive Shape Interpolation through Controllable Dynamic Deformation
IEEE Transactions on Visualization and Computer Graphics
Steady affine motions and morphs
ACM Transactions on Graphics (TOG)
Interactive editing of deformable simulations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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A novel approach is presented for interpolating two planar shapes using a shape sequence such that one shape is deformed into the other in an as-isometric-as-possible (AIAP) manner. The two shapes can have arbitrarily connected edge soup as long as they have the same connectivity. The interpolation is described by a nonlinear optimization problem that models the deformation energy, which penalizes the non-isometric component of the shape motion, based on the relation between two orthogonal vectors fields, namely, the edge vector field and the relative velocity field. Noticing that the nonlinear optimization includes two types of unknowns and admits a quadratic form with respect to each type, we address the optimization by iteratively solving two linear optimization procedures. One procedure admits a closed form, and the other procedure is associated with a quadratic energy that measures the deviation of the shape sequence from an AIAP motion. To speed up the processing, a local algorithm is devised to reduce the dimensionality of the linear optimization. This algorithm first addresses the AIAP interpolation of individual edges, and then reconstructs the shape sequence, frame by frame, using the generated edge vectors. Furthermore, an efficient initialization strategy is explored to greatly alleviate face-overlapping artifacts that are caused by using linear interpolation to make an initial guess for the shape sequence. Finally, relative velocity fields are employed to explore applications of the AIAP interpolation to shape transfer and sequence editing, in which the relative velocity fields of the given shape sequence are warped and copied onto the shape to be manipulated.