| Subdivision surfaces are finding their way into many Computer Aided Design (CAD) and animation packages. Popular choices include Loop, Catmull-Clark, Doo-Sabin, etc. They are convenient representations for modeling objects of arbitrary topology. Subdivision surfaces have many design advantages over a traditional use of Non Uniform Rational B-Splines (NURBS). They have been used in lossy 3D mesh compression with possible applications such as level of details (LOD), progressive transmission and 3D streaming. Also, in recent years 3D mesh compression has become necessary for transferring and browsing 3D objects over the internet. This work explores developing one such method for Loop subdivision surfaces. The dissertation shows the process as well as some results, which are promising and therefore, can be used as a lossy compression scheme and a surface reconstruction method from 3D meshes.; The method presented in this dissertation is simple, yet efficient and effective compared to other existing 3D mesh coders, such as Edgebreaker, 3DCT and Loop subdivision wavelet. Any arbitrary topological boundary and non-boundary mesh of any genus can be approximated with a high compression ratio and high surface details with low distortion. The method also applies to meshes with sharp features, such as creases, corners and boundary. The method combines Loop subdivision surface and scalar-valued displacement for 3D mesh compression and surface reconstruction. |
