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
Contour blending using warp-guided distance field interpolation
Proceedings of the 7th conference on Visualization '96
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Shape-driven deformations of functionally defined heterogeneous volumetric objects
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Shape Blending Using the Star-Skeleton Representation
IEEE Computer Graphics and Applications
Space-Time and Higher Dimensional Modeling for Animation
CA '00 Proceedings of the Computer Animation
Advanced Metamorphosis Based on Bounded Space-time Blending
MMM '04 Proceedings of the 10th International Multimedia Modelling Conference
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Space–time blending: Research Articles
Computer Animation and Virtual Worlds
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In contrast to existing methods of metamorphosis based on interpolation schemes, space-time blending is a geometric operation of bounded blending performed in the higher-dimensional space. It provides transformations between shapes of different topology without necessarily establishing their alignment or correspondence. The original formulation of space-time blending has several problems: fast uncontrolled transition between shapes within the given time interval, generation of disconnected components, and lack of intuitive user control over the transformation process. We propose several techniques for more intuitive user control for space-time blending. The problem of the fast transition between the shapes is solved by the introduction of additional controllable affine transformations applied to initial objects in space-time. This gives more control to the user. The approach is further extended with the introduction of an additional non-linear deformation operation to the pure space-time blending. The proposed techniques have been implemented and tested within an industrial computer animation system. Moreover, this method can now be employed in real-time applications taking advantage of modern GPUs.