Projects in 1991–1992
Chevron Oil Research: 3D Seismic Image Data Compression
- Stavros Busenberg
Seismic data reflects geological structures and is a primary source of information on the composition of the underground. The management, processing and interpretation of this data is a major task because of its immense volume. This project will develop methods for compressing and decompressing such data so that it can be efficiently stored while minimizing the loss of detail when used to recover information on underground structures. Both lossy and non-lossy algorithms will be considered.
The physical source of the data leads to coherence between adjacent data slices which should be useful in reducing the amount of information that needs to be stored. Discrete (Hamming codes) as well as continuous (wavelet transforms) methods have been used in the compression of visual image data, and this work can provide some initial ideas and points of departure for the project. Both processed discrete data, consisting of 8-bit values representing the amplitude of the wave field, and floating point 3D seismic data are available. The project will consider the relative advantages of using each of these types of data.
Harvey Mudd College: Instructional Module On Chaos
- Mario Martelli
During the last thirty years, “chaotic behavior” has been experimentally observed, numerically documented, and theoretically established in a wide variety of dynamical system arising in different field of mathematical science. Undergraduates, particularly science majors, are increasingly exposed to this new area of research in several different courses in mathematics, biology, physics, etc. This project created an educational package on Chaos, that could be used as a support material in courses such as Differential Equations, Numerical Analysis, Probability, Neural Networks and others.
It consists of a manual on concepts involved in the theory of chaos, along with examples on which to apply them. It also includes a set of computer programs which enables students to test the concepts of this manual on the examples and on other problems of their own. A computer manual describes the feature of the programs, the options available, and illustrates, with some examples, how the entire package can be used.
Jet Propulsion Laboratory: Knowledge-Driven Hypermedia: An Encyclopedia of Software Components
- Robert Keller
Knowledge-driven hypermedia technology combines techniques from artificial intelligence and hypermedia (graphics, text typesetting, animation, video) to represent knowledge in several forms that can be manipulated by users. An application of this technology is in classifying, cataloging and distributing software components in order to promote more efficient software development and reuse. The Encyclopedia of Software Components (ESC) is a tool which allows users to build, maintain, search and browse through very large collections of software components.
The Mathematics Clinic team will concentrate on the task of identifying, classifying, collecting, and including into the ESC a coherent collection of reusable software. The team would consider adding a collection of data structure components to the ESC which will facilitate its use. A possible further task of the Clinic would be the design and implementation of such a library in a portable C, documenting it in the hypermedia style of the ESC, and encoding a classification of the components of the library. Another possible alternate task would be to classify and document in hypermedia format the GNU suite of software components and to collect the free AI tools which are available from ftp sites.
Naval Health Research Center: Sizing An Artificial Neural Network
- John Angus
Northrop Corporation: Maximizing Energy Attenuation in Coated WaveGuides
- David Bosley
This project will combine modelling, analysis of special cases and the development of a numerical method for designing the coating of a waveguide in order to maximize the attenuation of electromagnetic energy impinging on it. The derivation of the impedance that would achieve the desired attenuation for a simplified scalar one dimensional system will be used to gain intuition into the more complicated multidimensional vector problem of primary interest. Analytical expressions for the attenuation will also be sought for cylindrical waveguides with coatings of various electrical properties. These will be used to design coatings for a waveguide to attenuate electromagnetic energy by a prescribed amount over a given band of frequencies.
The second phase of this project will concentrate on refining previous clinic work on numerical algorithms for designing optimal waveguide coatings. One goal is to redesign these programs so as not to use proprietary general purpose software and to increase their portability and efficiency. The team will also investigate the possibility of extending the code to include variable material properties, anisotropic materials, coupling of energy, different boundary conditions, and other effects that will make the program more realistic
USC Information Sciences Institute: Modeling of Short Channel MOSFET Devices for Use in VLSI Simulations
- Jerome Spanier