Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Joint-dependent local deformations for hand animation and object grasping
Proceedings on Graphics interface '88
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
GPGPU: general purpose computation on graphics hardware
ACM SIGGRAPH 2004 Course Notes
Image deformation using moving least squares
ACM SIGGRAPH 2006 Papers
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2008 papers
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Interactive image deformation using cage coordinates on GPU
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
Bounded biharmonic weights for real-time deformation
ACM SIGGRAPH 2011 papers
Transmogrification: causal manipulation of visualizations
Proceedings of the 26th annual ACM symposium on User interface software and technology
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As a linear blending method, cage-based deformation is widely used in various applications of image and geometry processing. In most cases especially in the interactive mode, deformation based on embedded cages does not work well as some of the coefficients are not continual and make the deformation discontinuous, which means existing "spring up" phenomenon. However, it's common for us to deform the ROI(Region of Interest) while keeping local part untouched or with only small adjustments. In this paper, we design a scheme to solve the above problem. A multicage can be generated manually or automatically, and the image deformation can be adjusted intelligently according to the local cage shape to preserve important details. On the other hand, we don't need to care about the pixels' position relative to the multicage. All the pixels go through the same process, and this will save a lot of time. We also design a packing method for cage coordinates to pack all the necessary coefficents into one texture. A vertex shader can be used to accelerate the deformation process, leading to realtime deformation even for large images.