This thesis proposes new methods for creating continuous mappings between images and videos, as well as the adaptive transition control schemes that create smooth transitions.

The main challenge in achieving good image morphs is to create a map that aligns corresponding image elements. Our aim is to help automate this often tedious task. We compute the map by optimizing the compatibility of corresponding warped image neighborhoods using an adaptation of structural similarity. The optimization is regularized by a thin-plate spline, and may be guided by a few user-specified points. We parameterize the map over a halfway domain and show that this representation offers many benefits. The map is able to treat the image pair symmetrically, model simple occlusions continuously, span...[ Read more ]

This thesis proposes new methods for creating continuous mappings between images and videos, as well as the adaptive transition control schemes that create smooth transitions.

The main challenge in achieving good image morphs is to create a map that aligns corresponding image elements. Our aim is to help automate this often tedious task. We compute the map by optimizing the compatibility of corresponding warped image neighborhoods using an adaptation of structural similarity. The optimization is regularized by a thin-plate spline, and may be guided by a few user-specified points. We parameterize the map over a halfway domain and show that this representation offers many benefits. The map is able to treat the image pair symmetrically, model simple occlusions continuously, span partially overlapping images, and define extrapolated correspondences. Moreover, it enables direct evaluation of the morph in a pixel shader without mesh rasterization. We improve the morphs by seamlessly extending content beyond the image boundaries. We parallelize the algorithm on a GPU to achieve a responsive interface and demonstrate challenging morphs obtained with little effort.

Extending image morphing techniques to video presents some added challenges. Because motions are often unsynchronized, temporal alignment is necessary. Applying morphing to individual frames leads to discontinuities, so temporal coherence must be considered. Our approach is to optimize a full spatiotemporal mapping between the two videos. We reduce tedious interactions by letting the optimization derive the fine-scale map given only sparse user-specified constraints. For robustness, the optimization objective examines structural similarity of the video content. We demonstrate the approach on a variety of videos, obtaining results using few explicit correspondences.

After defining correspondence maps between two images (or videos) that align structurally similar elements, the actual interpolation usually involves simple functions for both geometric paths and color blending. Different from that, we further explore new types of controls for combining two images related by a correspondence map. Our insight is to apply recent edge-aware decomposition techniques, not just to the image content but to the map itself. Our framework establishes an intuitive low-dimensional parameter space for merging the shape and color from the two source images at both low and high frequencies. A gallery-based user interface enables interactive traversal of this rich space, to either define a morph path or synthesize new hybrid images. Extrapolation of the shape parameters achieves compelling effects. Finally we demonstrate an extension of the framework to videos.