Geometric Issues in Spatial Indexing

We address a number of geometric issues in spatial indexes. One area of interest is spherical data. Two main examples are the locations of stars in the sky and geodesic data. The first part of this dissertation addresses some of the challenges in handling spherical data with a spatial database. We show that a practical approach for integrating spherical data in a conventional spatial database is to use a suitable mapping from the unit sphere to a rectangle. This allows us to easily use conventional two-dimensional spatial data structures on spherical data. We further describe algorithms for handling spherical data. In the second part of the dissertation, we introduce the areal projection, a novel projection which is computationally efficient and has low distortion. We show that the areal projection can be utilized for developing an efficient method for low distortion quantization of unit normal vectors. This is helpful for compact storage of spherical data and has applications in computer graphics. We introduce the QuickArealHex algorithm, a fast algorithm for quantization of surface normal vectors with very low distortion. The third part of the dissertation deals with a CPU time analysis of TGS, an R-tree bulkloading algorithm. And finally, the fourth part of the dissertation analyzes the BV-tree, a data structure for storing multi-dimensional data on secondary storage. Contrary to the popular belief, we show that the BV-tree is only applicable to binary space partitioning of the underlying data space

Algorithms and Data Structures for Automated Change Detection and Classification of Sidescan Sonar Imagery

During Mine Warfare (MIW) operations, MIW analysts perform change detection by visually comparing historical sidescan sonar imagery (SSI) collected by a sidescan sonar with recently collected SSI in an attempt to identify objects (which might be explosive mines) placed at sea since the last time the area was surveyed. This dissertation presents a data structure and three algorithms, developed by the author, that are part of an automated change detection and classification (ACDC) system. MIW analysts at the Naval Oceanographic Office, to reduce the amount of time to perform change detection, are currently using ACDC. The dissertation introductory chapter gives background information on change detection, ACDC, and describes how SSI is produced from raw sonar data. Chapter 2 presents the author\u27s Geospatial Bitmap (GB) data structure, which is capable of storing information geographically and is utilized by the three algorithms. This chapter shows that a GB data structure used in a polygon-smoothing algorithm ran between 1.3 – 48.4x faster than a sparse matrix data structure. Chapter 3 describes the GB clustering algorithm, which is the author\u27s repeatable, order-independent method for clustering. Results from tests performed in this chapter show that the time to cluster a set of points is not affected by the distribution or the order of the points. In Chapter 4, the author presents his real-time computer-aided detection (CAD) algorithm that automatically detects mine-like objects on the seafloor in SSI. The author ran his GB-based CAD algorithm on real SSI data, and results of these tests indicate that his real-time CAD algorithm performs comparably to or better than other non-real-time CAD algorithms. The author presents his computer-aided search (CAS) algorithm in Chapter 5. CAS helps MIW analysts locate mine-like features that are geospatially close to previously detected features. A comparison between the CAS and a great circle distance algorithm shows that the CAS performs geospatial searching 1.75x faster on large data sets. Finally, the concluding chapter of this dissertation gives important details on how the completed ACDC system will function, and discusses the author\u27s future research to develop additional algorithms and data structures for ACDC

An Overview of BRDF Models

This paper is focused on the Bidirectional Reflectance Distribution Function (BRDF) in the context of algorithms for computational production of realistic synthetic images. We provide a review of most relevant analytical BRDF models proposed in the literature which have been used for realistic rendering. We also show different approaches used for obtaining efficient models from acquired reflectance data, and the related function fitting techniques, suitable for using that data in efficient rendering algorithms. We consider algorithms for computation of BRDF integrals, by using Monte-Carlo based numerical integration. In this context, we review known techniques to design efficient BRDF sampling schemes for both analytical and measured BRDF models.The authors have been partially supported by the Spanish Research Program under project TIN2004-07672-C03-02 and the Andalusian Research Program under project P08-TIC-03717