本論文為牙齒掃描機光學系統設計包括投影系統與取像系統，主要是把立體結構圖利用投影系統投射於待側面(牙齒)上，並用取像系統透過電腦模擬成牙齒3D立體結構圖。投影系統包含非成像系統設計與成像系統設計，非成像系統以DLP微型投影機架構分別設計三顆RGB LED、三組準直鏡系統、兩片色彩分光鏡、透鏡陣列、中繼透鏡、TIR稜鏡與DMD所組成，成像系統包含DMD、TIR稜鏡之投影鏡頭投射至待側面(牙齒)上。
　　光源選用Osram RGB LED，其光通量共輸出為2754.21 lm，在待側面(牙齒)上效率14.82%，光通量輸出為408.1 lm。
　　成像系統由六片玻璃透鏡所組成，F/#為2.4，其成像品質MTF(66 lp/mm) 0.579，光學畸變絕對值 1.4%，橫向色差絕對值 0.55 m，相對照度94.175%。
　　取像系統設計由三片玻璃球面鏡片所組成，F/#為8、物像距離為187 mm、工作距離為150 mm、景深為7.5 mm。當工作距離為150 mm，則在待側面取像的解析度874 dpi ; 工作距離為142.5 mm，則在待側面取像的解析度206 dpi ;工作距離為157.5 mm，則在待側面取像的解析度240 dpi。
　　最後本文牙齒掃描機整體架構體積約為80 mm  62 mm  28 mm。

　　This paper designs the optical system of the dental scanner including the projection system and the image capturing system. The main purpose is to project the three-dimensional structure drawing onto the side (tooth) by the projection system, and simulate the 3D three-dimensional structure of the tooth through the computer with the image capturing system. The projection system includes non-imaging system design and imaging system design. The non-imaging system designs is consisting of three RGB LEDs, three sets of collimating mirror systems, two color spectroscopes, lens arrays, retardation lenses, and TIR prism in the DLP pico-projector architecture, the DMD, the imaging system includes a DMD, TIR prism projection lens projected onto the side (tooth).
　　The light source uses Osram RGB LED, the efficiency on the side (tooth) is 14.82%, and the luminous flux output is 408.1 lm.
　　The imaging system consists of six glass lenses with F/# of 2.4, imaging quality MTF (66 lp/mm) is 0.579, Absolute value of optical distortion is 1.4%, absolute value of lateral chromatic aberration is 0.55 m, relative contrast is 94.175 %.
　　The imaging system design consists of three glass spherical lenses with an F/# of 8, an object image distance of 187 mm, a working distance of 150 mm and a depth of field of 7.5 mm. When the working distance is 150 mm, the resolution of the image to be taken on the side is 874 dpi; the working distance is 142.5 mm, the resolution of the image to be taken on the side is 206 dpi; the working distance is 157.5 mm, and the resolution of image to be taken on the side is 240 dpi.
　　Finally, the overall structure of the dental scanner is about 80 mm  62 mm  28 mm.
 

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