Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
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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)
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Linear algebra operators for GPU implementation of numerical algorithms
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
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
Multicage image deformation on GPU
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Sketch-based design for green geometry and image deformation
Multimedia Tools and Applications
*Cages:: A multilevel, multi-cage-based system for mesh deformation
ACM Transactions on Graphics (TOG)
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Cage-based deformation is widely used in various applications of image and geometry processing. In this paper, we show how to deform a 2D image by using Cage Coordinates (CC), which naturally unifies the existing coordinates, such as Mean Value Coordinates (MVC), Harmonic Coordinates (HC) and Green Coordinates (GC) into the same formulation. The cage is generated interactively for the region-of-interest (ROI), and the warping effect is obtained by simply changing the positions of the cage vertices. An intuitive method is designed to keep the image shape during the process of deformation. Meanwhile, a new GPU-based framework of using CC for real time image deformation is developed. Such real-time rendering and the intuitive user interaction in our cage-based image deformation make it easy to conduct the image animation by enabling the cage vertices' 2D motions, as demonstrated in the experimental results of the proposed technique.