MPhil Thesis Defence


"Sampling-Sensitive Multiresolution Hierarchy for Irregular Meshes"

By

Mr. Kin Chung Au


Abstract

Previous approaches for constructing multiresolution hierarchy for
irregular meshes investigated how to overcome the connectivity and
topology constraints during the decomposition, but did not consider the
effects of sampling density on subsequent editing and signal processing.
These approaches produce lower resolution meshes with unbalanced sampling
density, and the details are not encoded in a frequency dependent order.
Consequently, operations such as editing in low resolution and filtering
the details do not always produce the desired result. Using the idea of
local support of wavelets and with the aid of discrete fairing, we present
a new decomposition method that produces a hierarchy of meshes with
decreasing maximum sampling density and smoother parameter information.
The resulting mesh hierarchy has triangles of good quality, enabling more
stable editing.  Moreover, the detail vectors better approximate the
frequency spectrum of the mesh, making signal filtering more accurate. We
demonstrate the advantages of our hierarchy in several applications
including signal filtering, editing, and remeshing.


Date:			Wednesday, 20 August 2003

Time:			4:00p.m.-6:00p.m.

Venue:			Room 1505
			Lifts 25-26

Committee Members:		Dr. Chiew-Lan Tai (Supervisor)
			Dr. Michael Brown (Chairman)
			Dr. Long Quan



**** ALL are Welcome ****