engleski

Multiresolution analysis of macromolecular structures

This thesis provides theoretical background on multiresolution analysis and its application in the analysis of macromolecular structures with special emphasis on macromolecular surfaces that can be represented as triangular meshes. Also, possibilities of multiresolution analysis of various physical and chemical properties of those surfaces, and properties that are intrinsic to surfaces themselves (i.e. curvature) are also explored in the context of functions defined on surfaces. The difference between semi-regular and irregular setting is explained, as well as the importance of subdivision surfaces for the multiresolution analysis in semi-regular setting. Further emphasis is put on multiresolution analysis in irregular setting. Program implementation of irregular subdivision is developed in order to perform simple signal processing operations on triangulated meshes such as low-pass and high-pass filtering.

multiresolution; wavelets; subdivision; mesh; macromolecules; surfaces

nije evidentirano