一、光學領域：歪斜光線追蹤、靈敏度分析、光學設計、光學量測。

二、機構領域： 齒輪設計、凸輪設計、機構設計、多軸工具機之NC程式設計、三次元量床量測。

1. Optics field: Skew-ray tracing, Sensitivity analysis, Optical design, Optical metrology.

2. Mechanism field: Gear design, Cam design, Mechanism design, Multi-axis CNC code design, CMM metrology.

1. Roller Drive 應力分析與設計軟體開發(企業委託案)
2. 強力刮齒法之刀具設計、切削分析與實作(科技部一般型, MOST 107-2221-E-150-020)
3. 導入最佳化設計演算法於齒輪組設計之專家系統開發 (科技部產學合作, MOST 107-2622-E-150-007-CC3)
4. 滾子凸輪五軸加工程式開發 (企業委託案, 107-AF-042)
5. 開發新的自由曲面設計方法於TIR透鏡之光學設計 (科技部一般型, MOST 106-2221-E-150-014)
6. 整合強力刮齒刀具設計分析與NC程式後處理於六軸CNC車銑複合機 (科技部產學合作, MOST 106-2622-E-150-010-CC3)
7. 一種新的自由曲面設計方法應用於汽車LED近光燈的光學設計之研究 (科技部一般型, MOST 105-2221-E-150-008)
8. 應用強力刮齒法於車銑複合機之NC程式開發 (科技部產學合作, MOST 105-2622-E-150-010-CC3)
9. 結合變焦拋物面及變焦雙曲面於複合式太陽能集光模組之設計 (科技部一般型, MOST 104-2221-E-150-057)
10. 光學掃描系統之光斑畸變消除與掃描速度分析之研究 (科技部一般型, MOST 103-2221-E-150-010)
11. 應用變焦抛物面於太陽能電池集光模組之研究 (國科會一般型, NSC 102-2221-E-150-013)
12. 聚光型太陽能電池之集光模組之設計 (國科會一般型, NSC 101-2221-E-150-011)
13. 電力助動自行車LED 車頭燈之光學設計 (國科會產學合作, NSC 100-2622-E-150-005-CC3)
14. 利用成像位姿變化理論設計與分析六自由度光學量測系統 (國科會一般型, NSC 100-2221-E-150-022)
15. 太陽能加熱系統之集光模組之設計 (國科會產學合作, NSC 99-2622-E-150-016-CC3)
16. 具多功能之一般型反射式光學3-D掃描系統之研究 (國科會一般型, NSC 99-2221-E-150-005)
17. 助動自行車扭力感應模組之分析與設計 (企業委託案, 98-AD-21)
18. 應用歪斜光線追蹤法於光學系統的焦散面與模糊圓之分析建模及最佳化設計 (國科會一般型, NSC 98-2221-E-150-021)
19. 應用歪斜光線追踪於反射式光學穩定系統之分析與設計 (國科會一般型, NSC 97-2218-E-150-004)

1. C.Y.Tsai*, “A novel design of helical gear for electric power assist bicycle,” Transactions of the Canadian Society for Mechanical Engineering, 41, pp. In press, 2018. (SCI, IF=0.353, Rank=120/130, Category: Engineering, Mechanical)
2. C.Y.Tsai* and P.D.Lin, “Gear manufacturing using power-skiving method on six-axis CNC turn-mill machining center,” International Journal of Advanced Manufacturing Technology, 95, pp. 609-623, 2018. (SCI, IF=2.209, Rank=20/44, Category: Engineering, Manufacturing)
3. C.Y.Tsai*, “Refractive collimation beam shaper design and sensitivity analysis using free-form profile construction method,” Journal Of The Optical Society Of America A-Optics Image Science And Vision, 34, pp. 1236-1245, 2017. (SCI, IF=1.621, Rank=51/92, Category: Optics)
4. P.D.Lin* and C.Y.Tsai, “Paraxial ray-tracing equations for optical systems containing triangular prisms,” Journal Of The Optical Society Of America A-Optics Image Science And Vision, 34, pp. 361-369, 2017. (SCI, IF=1.621, Rank=51/92, Category: Optics)
5. C.Y.Tsai*, “Design of free-form reflector for vehicle LED low-beam headlamp,” Optics Communications, 372, pp. 1-13, 2016. (SCI, IF=1.588, Rank=52/92, Category: Optics)
6. C.Y.Tsai*, “Free-form surface design method for non-axial symmetrical reflectors producing arbitrary image patterns,” Optical Engineering, 55, pp. 75104, 2016. (SCI, IF=1.082, Rank=68/92, Category: Optics)
7. C.Y.Tsai*, “Mathematical model for design and analysis of power skiving tool for involute gear cutting,” Mechanism and Machine Theory, 101, pp. 195-208, 2016. (SCI, IF=2.577, Rank=26/130, Category: Engineering, Mechanical)
8. C.Y.Tsai*, “Free-form surface design method for collimator TIR lens,” Journal of the Optical Society of America A-Optics Image Science and Vision, 33, pp. 785-792, 2016. (SCI, IF=1.621, Rank=51/92, Category: Optics)
9. C.Y.Tsai*, “Optimized solar thermal concentrator system based on free-form trough reflector,” Solar Energy, 125, pp. 146-160, 2016. (SCI, IF=4.018, Rank=21/90, Category: Energy & Fuels)
10. C.Y.Tsai*, “Improved irradiance distribution on high concentration solar cell using free-form concentrator,” Solar Energy, 115, pp. 694-707, 2015. (SCI, IF=3.685, Rank=22/88, Category: Energy & Fuels)
11. C.Y.Tsai*, “Enhanced irradiance distribution on solar cell using optimized variable-focus-parabolic concentrator,” Optics Communications, 305, pp. 221-227, 2013. (SCI, IF=1.542, Rank=34/82, Category: Optics)
12. C.Y.Tsai*, “Design of optically stable image reflector system,” Applied Optics, 52, pp. 5385-5392, 2013. (SCI, IF=1.649, Rank=29/82, Category: Optics)
13. C.Y.Tsai*, “Design and analysis of reflector for uniform light-emitting diode illuminance,” Journal of the Optical Society of America A-Optics Image Science and Vision, 30, pp. 993-1001, 2013. (SCI, IF=1.448, Rank=38/82, Category: Optics)
14. P.D.Lin* and C.Y.Tsai, “Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: reply,” Journal of the Optical Society of America A-Optics Image Science and Vision, 29, pp. 1358-1358, 2012. (SCI, IF=1.562, Rank=30/77, Category: Optics)
15. P.D.Lin* and C.Y.Tsai, “Determination of first-order derivatives of skew-ray at aspherical surface,” Journal Of The Optical Society Of America A-Optics Image Science And Vision, 29, pp. 1141-1153, 2012. (SCI, IF=1.562, Rank=30/77, Category: Optics)
16. C.Y.Tsai* and P.D.Lin, “Optimized variable-focus-parabolic-trough reflector for solar thermal concentrator system,” Solar Energy, 86, pp. 1164-1172, 2012. (SCI, IF=2.475, Rank=26/81, Category: Energy & Fuels)
17. C.Y.Tsai*, “Exact analytical approach for six-degree-of-freedom measurement using image-orientation-change method,” Journal of the Optical Society of America A-Optics Image Science and Vision, 29, pp. 385-393, 2012. (SCI, IF=1.562, Rank=30/77, Category: Optics)
18. P.D.Lin* and C.Y.Tsai, “Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays,” Journal of the Optical Society of America A-Optics Image Science and Vision, 29, pp. 174-178, 2012. (SCI, IF=1.562, Rank=30/77, Category: Optics)
19. C.Y.Tsai*, “An eigenvalue-based approach for the design of reflector systems and prisms with a specified image orientation change,” Applied Physics B-Lasers and Optics, 102, pp. 235-242, 2011. (SCI, IF=2.189, Rank=15/77, Category: Optics)
20. C.Y.Tsai*, “Design of partially optically stable reflector systems and prisms,” Applied Physics B-Lasers and Optics, 100, pp. 883-890, 2010. (SCI, IF=2.239, Rank=15/78, Category: Optics)
21. C.Y.Tsai*, “A general calculation and sensitivity analysis of reflector scanning systems using skew ray tracing,” Applied Physics B-Lasers and Optics, 98, pp. 481-487, 2010. (SCI, IF=2.239, Rank=15/78, Category: Optics)
22. C.Y.Tsai*, “A general calculation of the 3-D disk of least confusion using skew ray tracing,” Applied Physics B-Lasers and Optics, 96, pp. 517-525, 2009. (SCI, IF=1.992, Rank=13/70, Category: Optics)
23. C.Y.Tsai* and P.D.Lin, “The mathematical models of the basic entities of multi-axis serial orthogonal machine tools using a modified Denavit-Hartenberg notation,” International Journal of Advanced Manufacturing Technology, 42, pp. 1016-1024, 2009. (SCI, IF=1.128, Rank=13/38, Category: Engineering, Manufacturing)
24. P.D.Lin* and C.Y.Tsai, “Skew ray tracing and sensitivity analysis of ellipsoidal optical boundary surfaces,” Applied Mathematical Modelling, 32, pp. 2526-2537, 2008. (SCI, IF=0.931, Rank=25/68, Category: Engineering, Multidisciplinary)
25. C.Y.Tsai* and P.D.Lin, “Design of optically stable reflector systems and prisms,” Applied Optics, 47, pp. 4158-4163, 2008. (SCI, IF=1.763, Rank=18/64, Category: Optics)
26. P.D.Lin* and C.Y.Tsai, “General method for determining the first order gradients of skew rays of optical systems with non-coplanar optical axes,” Applied Physics B-Lasers and Optics, 91, pp. 621-628, 2008. (SCI, IF=2.167, Rank=13/64, Category: Optics)
27. C.Y.Tsai*, P.D.Lin, and Y.L.Lo, “Prism design for image orientation changes by screw triangle method,” Optics Letters, 33, pp. 1081-1083, 2008. (SCI, IF=3.772, Rank=4/64, Category: Optics)
28. C.Y.Tsai* and P.D.Lin, “The determination of positions and orientations of a prism's surfaces based on image orientation change,” Applied Physics B-Lasers and Optics, 91, pp. 105-114, 2008. (SCI, IF=2.167, Rank=13/64, Category: Optics)
29. C.Y.Tsai* and P.D.Lin, “Analytical solutions for image orientation changes in prisms,” Applied Optics, 46, pp. 3087-3094, 2007. (SCI, IF=1.701, Rank=17/64, Category: Optics)
30. P.D.Lin* and C.Y.Tsai, “First-order gradients of skew rays of axis- symmetrical optical systems,” Journal of the Optical Society of America A-Optics Image Science and Vision, 24, pp. 776-784, 2007. (SCI, IF=1.776, Rank=15/64, Category: Optics)
31. C.Y.Tsai* and P.D.Lin, “Prism design based on changes in image orientation,” Applied Optics, 45, pp. 3951-3959, 2006. (SCI, IF=1.717, Rank=13/55, Category: Optics)