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Shortest Path Queries on Triangular Irregular Networks and Point Clouds
The Hong Kong University of Science and Technology Department of Computer Science and Engineering PhD Thesis Defence Title: "Shortest Path Queries on Triangular Irregular Networks and Point Clouds" By Mr. Yinzhao YAN Abstract: Performing shortest path queries on a 3D surface is a topic of widespread interest in both industry and academia. Among different representations of a 3D surface, the most popular representations are Triangular Irregular Network, i.e., TIN, and point cloud. However, all existing shortest path query algorithms on a TIN are inefficient, and there is no existing shortest path query algorithm on a point cloud. In this thesis, we study how to effectively calculate the shortest path passing on a TIN and a point cloud in three aspects. (1) We propose an efficient on-the-fly shortest path algorithm answering the shortest path passing different regions on a weighted TIN, where different regions are assigned different weights. (2) We propose an efficient updatable shortest path oracle answering the shortest path query for a set of Points-Of-Interests (POIs) on an updated TIN. (3) We propose an efficient shortest path oracle answering the shortest path query for a set of POIs on a point cloud, and an efficient proximity query algorithm using our oracle. Our experimental results show that they outperform the best-known algorithms or oracles concerning time and memory. Date: Tuesday, 29 July 2025 Time: 8:30am - 11:00am Venue: Room 3494 Lifts 25/26 Chairman: Prof. Andrew Wing On POON (ECE) Committee Members: Prof. Raymond WONG (Supervisor) Dr. Binhang YUAN Prof. Xiaofang ZHOU Prof. Xueqing ZHANG (CIVL) Prof. Cyrus SHAHABI (USC)