Of the wide variety of existing optical techniques for non-contact 3D surface mapping, Fourier Transform Interferometry (FTI) is the method that most elegantly combines simplicity with high speed and high resolution. FTI generates continuous-phase surface maps from a projected optical interference pattern, which is generated with a simple double-pinhole source and collected in a single snapshot using conventional digital camera technology. For enhanced stability and reduced system size, the fringe source can be made from a fiber optic coupler. Unfortunately, many applications require mapping of surfaces that contain challenging features not ideally suited for reconstruction using FTI. Rough and discontinuous surfaces, commonly seen in applications requiring imaging of rock particles, present a unique set of obstacles that cannot be overcome using existing FTI techniques. This work is based on an original analysis of the limitations of FTI and the means in which errors are generated by the particular features encountered in the aggregate mapping application. Several innovative solutions have been developed to enable the use of FTI on rough and discontinuous surfaces. Through filter optimization and development of a novel phase unwrapping and referencing technique, the Method of Multiple References (MoMR), this work has enabled surface error correction and simultaneous imaging of multiple particles using FTI. A complete aggregate profilometry system has been constructed, including a MoMR-FTI software package and graphical user interface, to implement these concepts. The system achieves better than 22µm z-axis resolution, and comprehensive testing has proven it capable to handle a wide variety of particle surfaces. A range of additional features have been developed, such as error correction, particle boundary mapping, and automatic data quality windowing, to enhance the usefulness of the system in its intended application. Because of its high accuracy, high speed and ability to map varied particles, the developed system is ideally suited for large-scale aggregate characterization in highway research laboratories. Additionally, the techniques developed in this work are potentially useful in a large number of applications in which surface roughness or discontinuities pose a challenge. / Ph. D.

This research focused on three main objectives: (1) quantify coarse aggregate morphological characteristics using an improved FTI (Fourier Transform Interferometry) image analysis system, (2) evaluate the effects of morphological characteristics of coarse aggregates of various mineral compositions on the mechanical performances of stone matrix asphalt (SMA) mixtures constituted; (3) investigate the relationship between the uncompacted void content of coarse aggregates and morphological characteristics. To achieve the first research objective, a Fourier Transform Interferometry (FTI) system was adopted to capture three-dimensional high-resolution images of aggregates. Based on these digital images, the FTI system uses the two-dimensional Fast Fourier Transform (FFT2) method to rapidly measure aggregate morphological characteristics, including sphericity, flatness ratio, elongation ratio, angularity, and surface texture. The computed shape characteristics of all aggregates were in good agreement with manual measurement results, demonstrating the accuracy and reliability of this image analysis system. For the second objective, a series of simple performance laboratory tests were performed on eight types of SMA mixtures with different morphological characteristics. Test included wheel-track loading, dynamic modulus, flow number, and beam fatigue. The wheel tracking test included asphalt pavement analyzer (APA) and Model mobile load simulator (MMLS). In the APA test, samples included eight types of SMA mixtures that consisted of aggregates of 22 fractions. In the MMLS test, six types of SMA mixture samples that consist of coarse aggregate of 15 fractions were tested. Regression analyses were then conducted between weighted mean morphological characteristics and performance parameters. The fatigue performance parameters include |E*|sin φ, where |E*| is complex modulus obtained from dynamic modulus test, the number of loading cycles to failure, and the seismic modulus difference. The rutting performance parameters include |E*|/sin φ, flow number, flow number slope, rut depth and creep slope. For the third objective, different coarse aggregate fractions from different quarries in Virginia were analyzed using the improved FTI system. Regression analyses were performed to investigate the correlation between morphological characteristics and uncompacted void content of coarse aggregates at the size ranges of 4.75-9.5mm and 9.5-12.5 mm, respectively. Aggregate morphological characteristics were found to play an important role in the mechanical performance of stone matrix asphalt mixture and the uncompacted air void content of the coarse aggregates. Both the experimental results and simulation results demonstrated that using more of equi-dimensional, less flaky and elongated coarse aggregates with angular and rougher-textured aggregates is favorable to the mechanical performances of SMA mixtures. Recommended values for each morphological characteristic are provided. / Ph. D.