近來顯示器發展大尺寸螢幕、追求慧型手機般之輕薄短小外，也希望忠實呈現原始之色彩，因此色彩能否忠實呈現是顯示器品質之重大評價指標，此外多原色顯示亦是當前發展之驅勢，其可提供大於三原色顯示系統之色域。此論文以混色原理為基礎，提出適用於多原色加色系統之色域邊界理論, 其藉由在CIExyY色彩空間中之色域邊界頂點決定出色域邊界，因此在瞭解色域邊界上邊緣點之組成方式，即可直接獲得色域邊界上之邊緣點；而此理論僅需各原色和外來光之色座標及亮度，即可建立一個在外來光情況下之均勻色域邊界，此處之外來光包含裝置設備之漏光與環境光，而色域邊界之實驗與模擬的平均色差在CIELAB色彩空間中大約為1；此研究更進一步提出一種應用於顯示器、照明方面之亮度效能最佳化白點轉換的方法，以及一種白點轉換在相關色溫線上之概念以獲得更多亮度。
此理論方法不僅可用為一種標準計算色域邊界的方法，還可被應用在相關色彩研究上，其包含多原色顯示器色域體積之設計、多原色顯示器背光白點之設計、多原色照明系統之色溫設計、色彩分佈指標之分析、顯示器串擾現象之分析、及使用色貌模型之分析。

Recent trend in displays includes increasing size, light weight, super thin, and small smart-phone applications. Additional to above features, accurate color reproduction is also highly desired. In fact, the ability for truthful color reproduction is a major measure to evaluate the quality of displays. More recently, multi-primary color (MPC) displays is becoming a development trend. This provides a larger color gamut than the three primary displays. The present thesis proposes a general color gamut boundary (CGB) theory of an additive multi-primary color system based on color mixing theory. This approach can determine the CGB by its apexes in CIExyY space. After determining the xyY coordinates of the three or multiple primaries, the extremes of CGB can be automatically obtained. This study also proposes methods to construct a uniform CGB under extraneous light conditions, including device leakage light and ambient light. These methods of constructing the CGB only require the chromaticity coordinates and brightness of the primaries and extraneous light. In this study, the average color difference between CGB measurement and simulation in CIELAB is approximately 1 unit, which is considered to be highly satisfactory. This study also proposes a transform of white point while keeping the optimal brightness efficiency for both display and lighting applications. Finally, a concept to determine the optimal brightness of white point conversion on the isotemperature line was developed.
In summary, the proposed approach can not only be used as a standard method for defining CGB, but also be applied into relevant color research such as display and LED lighting design. Practical applications of this approach include the design of MPC displays in color volume, white point, etc, or similarly for MPC lighting. It also could have future impact on the development of color distribution index, detection of cross-talk characteristics of display, or extending the usage of color appearance models.

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