Şekiller arasında eğri-iskelet ve kafes aktarımı

The set of points having more than one closest point to the boundary of a shape is called the medial-axis or skeleton. Since its first introduction, many of its variants have been developed and used in shape analysis, retrieval, deformation, and many other applications. Medial-axis of a 3D shape consists of both 2D and 1D structures and may become quite complex. Thus, 1D curve representations of medial-axis, called curve-skeletons, have been becoming more popular. The thesis considers two related problems regarding curve-skeletons. In the first part, a method for transferring the curve-skeleton of a source shape to target shapes without extracting them from scratch is given. The second part deals with the inverse problem, that is, constructing mesh structure from a curve-skeleton given a source shape with its curve-skeleton. For the both parts, we demonstrate the advantages of our methods over the existing ones through comprehensive evaluations, both visually and quantitatively.