The Hong Kong University of Science and Technology Department of Computer Science and Engineering PhD Thesis Defence "GRAPH BASED IMAGE SEGMENTATION" By Mr. Jingdong WANG Abstract Image segmentation refers to a process of dividing the image into disjoint regions that were meaningful. This process is fundamental in computer vision in that many applications, such as image retrieval, visual summary, image based modeling, and so on, can essentially benefit from it. This process is also challenging because the segmentation is usually subjective and the computation is highly costly. Recent researches have witnessed great successes of graph based image segmentation. In graph based approaches, one of the key issues is graph prior in statistics terms. In this thesis, we address this problem for image segmentation from the following perspectives: 1) We investigate the prior design in the conventional pairwise graph approaches. We design a joint graph prior in the joint segmentation for 3D clustering and 2D image segmentation. This problem makes intensive use of the current states of the art in both unbiased and biased graph partitioning. 2) We generalize the pairwise graph to the hypergraph that can model multiple-wise relation between the data points. We propose a biased hypergraph partitioning approach, called Linear Neighborhood Propagation, which leads to a linear system with an efficient solution. 3) We degrade the cyclic graph to a connected acyclic graph, i.e. tree. We propose a tree partitioning method based on the normalized cut criterion, called Normalized Tree Partitioning. It runs in linear time, and potentially results in superior performance over spectral graph partitioning due to less approximation. Date: Thursday, 23 August 2007 Time: 10:00a.m.-12:00noon Venue: Room 3416 Lifts 17-18 Chairman: Prof. Robert Ko (BICH) Committee Members: Prof. Long Quan (Supervisor) Prof. Helen Shen (Supervisor) Prof. Chiew-Lan Tai Prof. Dit-Yan Yeung Prof. Ajay Joneja (IELM) Prof. Michael Lyu (CSE, CUHK) **** ALL are Welcome ****