\contentsline {section}{\numberline {1}PREFACE}{4}
\contentsline {section}{\numberline {2}BACKGROUND}{5}
\contentsline {section}{\numberline {3}APPARATUS}{7}
\contentsline {section}{\numberline {4}THEORY}{8}
\contentsline {section}{\numberline {5}DESIGN CONSIDERATIONS}{12}
\contentsline {subsection}{\numberline {5.1}Distance of Pinhole from Camera}{15}
\contentsline {subsection}{\numberline {5.2}Error in Pinhole Position}{15}
\contentsline {subsubsection}{\numberline {5.2.1}Estimating Error in Pixel Intensity}{17}
\contentsline {subsubsection}{\numberline {5.2.2}Error in Pixel position}{19}
\contentsline {subsection}{\numberline {5.3}Effects on changing Pinhole radius}{20}
\contentsline {subsection}{\numberline {5.4}Image Collection Speed}{24}
\contentsline {section}{\numberline {6}PROPOSED DESIGN $1^{st}$ DRAFT}{26}
\contentsline {subsection}{\numberline {6.1}Design Description}{26}
\contentsline {subsection}{\numberline {6.2}Choice of Pinhole Radii}{27}
\contentsline {subsection}{\numberline {6.3}Software}{28}
\contentsline {subsubsection}{\numberline {6.3.1}qcam.c}{29}
\contentsline {subsubsection}{\numberline {6.3.2}filters(scan,q,centroid,fcent)}{30}
\contentsline {subsubsection}{\numberline {6.3.3}f3tensor(1,1,1,h,1,w)}{33}
\contentsline {subsubsection}{\numberline {6.3.4}rlft3(array2,spec,1,h,1,w,1)}{33}
\contentsline {subsubsection}{\numberline {6.3.5}lowpass(array2,spec,fltr,w,h)}{34}
\contentsline {subsubsection}{\numberline {6.3.6}fcentroid(array2,q,w,h,cen)}{34}
\contentsline {subsection}{\numberline {6.4}System Setup and Operation}{35}
\contentsline {subsubsection}{\numberline {6.4.1}System Calibration}{35}
\contentsline {subsubsection}{\numberline {6.4.2}System Operation}{37}
\contentsline {section}{\numberline {7}SYSTEM TESTING}{39}
\contentsline {subsection}{\numberline {7.1}General Approach}{39}
\contentsline {subsection}{\numberline {7.2}Effects of Filtering}{40}
\contentsline {subsection}{\numberline {7.3}Pinhole Tracking}{41}
\contentsline {subsection}{\numberline {7.4}Scatter}{42}
\contentsline {section}{\numberline {8}DATA ANALYSIS}{46}
\contentsline {section}{\numberline {9}FUTURE WORK}{48}
\contentsline {section}{\numberline {10}CONCLUSION}{50}
\contentsline {section}{\numberline {A} SOFTWARE}{54}
\contentsline {subsection}{\numberline {A.1}\relax \fontsize {12}{14}\selectfont qcam.c}{54}
\contentsline {subsection}{\numberline {A.2}\relax \fontsize {12}{14}\selectfont filter.c}{55}
\contentsline {subsection}{\numberline {A.3}\relax \fontsize {12}{14}\selectfont Filter-lib.c}{56}
\contentsline {subsection}{\numberline {A.4}\relax \fontsize {12}{14}\selectfont rlft3.c}{57}
\contentsline {subsection}{\numberline {A.5}\relax \fontsize {12}{14}\selectfont fcentroid.c}{58}
\contentsline {section}{\numberline {B}FIGURES}{59}
\contentsline {subsection}{\numberline {B.1} Figures for Upstream Pinhole (non-offset)}{59}
\contentsline {subsection}{\numberline {B.2} Figures for Upstream Pinhole (offset)}{63}
\contentsline {subsection}{\numberline {B.3} Figures for Downstream Pinhole (non-offset)}{67}
\contentsline {subsection}{\numberline {B.4} Figures for Downstream Pinhole (offset)}{71}