Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
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SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Shape transformation for polyhedral objects
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View interpolation for image synthesis
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Topological evolution of surfaces
GI '96 Proceedings of the conference on Graphics interface '96
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
A morphable model for the synthesis of 3D faces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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Digital Image Warping
Image Metamorphosis with Scattered Feature Constraints
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A Level-Set Approach for the Metamorphosis of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Topology-Free Cut-and-Paste Editing over Meshes
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
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Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
Cyclostationary processes on shape spaces for gait-based recognition
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
An Image Morphing Technique Based on Optimal Mass Preserving Mapping
IEEE Transactions on Image Processing
Displacement interpolation using Lagrangian mass transport
Proceedings of the 2011 SIGGRAPH Asia Conference
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This paper describes a method for topology-free shape morphing based on region cluster-based Earth Mover's Distance (EMD) flows, since existing methods for closed curve/surface-based shape morphing are inapplicable to regions with different genera. First, the shape region is decomposed into a number of small clusters by Fuzzy C-Means clustering. Next, the EMD between the clusters of two key shapes is calculated and the resultant EMD flows are exploited as a weighted manyto-many correspondence among the clusters. Then, the fuzzy clusters are transported based on the EMD flows and a transition control parameter. Unlike the closed curve/surface-based methods, the morphs using cluster transportation are not guaranteed to be a binary image, and hence graph cut-based binary denoising is applied to a volumetric image of the two-dimensional position and the one-dimensional transition control parameter. The experiments demonstrate that the proposed method can perform morphing between shapes with different genera, such as walking silhouettes or alphabetical characters.