A physically based approach to 2–D shape blending
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Scheduled Fourier volume morphing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Detecting and decomposing self-overlapping curves
Computational Geometry: Theory and Applications
On compatible triangulations of simple polygons
Computational Geometry: Theory and Applications
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
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
How to morph tilings injectively
Journal of Computational and Applied Mathematics
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th 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
On Compatible Star Decompositions of Simple Polygons
IEEE Transactions on Visualization and Computer Graphics
Shape Blending Using the Star-Skeleton Representation
IEEE Computer Graphics and Applications
Feature-based Surface Decomposition for Correspondence and Morphing Between Polyhedra
CA '98 Proceedings of the Computer Animation
3D geometric metamorphosis based on harmonic map
PG '97 Proceedings of the 5th Pacific Conference on Computer Graphics and Applications
VIS '94 Proceedings of the conference on Visualization '94
Perceptually Based Approach for Planar Shape Morphing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Efficient Metamorphosis of Point-Sampled Geometry
ICAT '06 Proceedings of the 16th International Conference on Artificial Reality and Telexistence--Workshops
b-morphs between b-compatible curves in the plane
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Immersion and embedding of self-crossing loops
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Technical note: Self-overlapping curves: Analysis and applications
Computer-Aided Design
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Tweening, also known as shape morphing, is an important concept in keyframe animation wherein an initial shape is transformed smoothly into a final shape. The huge body of existing literature in the areas of shape transformations and tweening in 2D is mostly restricted to transformations between simple non-self-intersecting polygonal shapes. In this paper we introduce a robust tweening algorithm which is capable of creating smooth transformations between non-simple polygonal shapes that are immersions of a disk. All the intermediate shapes generated by our algorithm are guaranteed to be disk immersions. We achieve this by calculating high quality triangulations, from given arbitrary triangulations, of the initial and final non-simple polygons and establishing a homeomorphism between the disks of the two immersions. If the triangulations of the source and target shapes are incompatible, we change the geometry as well as the triangulation smoothly during the morphing process.