Analyzing and improving the quality of Voronoi Hausdorff morphing using component reduction

Abstract

This thesis introduces a new quantitative metric, used to determine the quality of a morph. This metric is based on the angular change of all enclosed boundary loops and is experimentally shown to effectively distinguish between morphs that are visually appealing and morphs that are worse in terms of visual quality. This thesis also improves the Voronoi and mixed morphs [15] using two approaches. The first approach experimentally shows that a dynamic variable for the mixed morph can result in morphs that better balance all quantitative metrics and results in visually more appealing morphs. The second approach is the introduction of a new abstract morph and its mixed variant, that adjust the Voronoi morph to reduce the number of components present in intermediate shapes. We prove some basic properties on the creation of components in the Voronoi morph and that the new morph also adheres to the Hausdorff property [16]. In an experimental analysis of the new morphs, we record data on the area, perimeter and total angular change development throughout the morph, and the number of holes and components. We show that one of the new morphs performs best on our quantitative analysis and also visually appears most attractive.