Table-mapping cone-beam X-ray tomography algorithm and two-photon data storage system

Three-dimensional microscopy attracts increasing attention due to its applications in the fields of biomedical science, material engineering and non-destructive evaluation. Rapid volumetric image reconstruction is highly desirable in all of these areas for prompt visualization and analysis of complex structures. In this dissertation, two topics will be discussed: micro-tomography system and two-photon data storage system.; On the topic of micro-tomography, we reformulate a generalized Feldkamp cone-beam image reconstruction algorithm. Utilizing cylindrical pixels and mapping tables, we improved the reconstruction efficiency by an order of magnitude over a direct implementation of the standard algorithm. The feasibility of the algorithm is demonstrated with numerical simulation and experimentation using a prototype cone-beam X-ray microtomographic system.; Confocal microscopy has become a commonly used tool to obtain three-dimensional images both in biological and material samples. The use of two-photon excitation is based on simultaneous absorption of two-photons, each having half the energy of the band gap, to excite a fluorophore and induce fluorescence. Due to the quadratic dependence on the illumination intensity, a stack of two-dimensional images can be obtained to form a three-dimensional image. Since a two-photon excitation induced reaction occurs only around the focal point, this mechanism is very suitable for developing high-capacity data storage systems. The feasibility is demonstrated with a 3D recording of graphics and images in a polymer matrix. Numerous recordings were successfully conducted using a variety of test patterns.; This dissertation describes the development and implementation for both three-dimensional microscopy technologies resulted from this research, part I for X-ray microtomography and part II for two-photon data storage system. The major contributions of this dissertation for X-ray micro-tomography are (1) Derivation and implementation of an algorithm for table-mapping back-projection algorithm. (2) Derivation and implementation of ways to improving the table-mapping algorithm. (3) Speed up analysis of the conventional reconstruction algorithm and the table-mapping algorithm. (4) Imaging quality analysis of the table-napping algorithm with different setup. (5) Implement and demonstrated the X-ray micro-tomography system. The major contributions of this dissertation for two-photon data storage system are (1) Implementation of a two-photon data storage system utilized cheap media. (2) Implementation of a three-dimensional data storage read-write system. (3) Demonstrated the grayscale data storage for two-photon data storage.