臺灣博碩士論文加值系統

本論文的研究目的是分析噴墨影像中的光學網點擴大現象。此現象的重要性是因為它直接降低影像的對比。透過相關文獻分析得知，光學網點擴大的數學模式來自於光濃度、光子反射率、網點面積、傅立葉級數、以及幾何設計的綜合運用。又本論文結論出在影像工程學中仍未有光學網點擴散函數被研發出來。故本論文設計光學網點擴散函數的分析構想，可直接算出光學擴散的一維距離。本構想的核心是反射率的光學理論，同時假設光學網點擴大是油墨厚度的一部分。

The objective of this work is to apply the Kubelka-Munk theory to analyze optical dot gain in inkjet halftone. Optical dot gain is a significant technical problem because it lowers the contrast of a halftone. By researching the details of relevant literature, this thesis finds that there is still no optical dot gain function being developed in imaging engineering. Thus, this research proposes a design to find that function. The design is mainly based on Kubelka-Munk theory and the assumption of optical dot gain being a part of the ink thickness.

摘要 I
Abstract II
目錄 III
圖表目錄 VI
1. 緒論 1
1.1 時代背景 1
1.2 研究動機與目的 2
1.3 研究方法 2
1.4 論文總結 3
2. 文獻回顧 4
2.1 Kubelka-Munk theory（K/M理論） 4
2.1-1 K/M理論的基本假設與定義 5
2.1-2 K/M理論之重要數學解 11
2.2 Reflectance (R)的基本方程式 12
2.2-1 求解前之準備工作 12
2.2-2 雙曲函數解（Hyperbolic solution） 14
2.2-3 指數函數解（Exponential solution） 16
3. 分析ODG的相關研究分析 19
3.1 基礎知識 19
Murray-Davies method for their equation 21
Yule-Nielsen method and equation 24
3.2 Arney’s analysis 27
3.3 Arney’s experiment and observation 29
3.3-1 公式轉換 29
改寫MDE 29
改寫YNE 30
3.3-2 實驗設計與結果分析 32
3.3-3 Modeling the Rp(Fi) and Ri(Fi) functions: light scattering and distribution of transmittancy 35
3.4 The design of halftone geometry 37
3.4-1 The MTF analysis of paper 37
3.4-2 Using Kubelka-Munk (K/M) theory 38
3.4-3 Define the value of m 39
3.4-4 Designed halftone geometry 39
3.4-5 The a priori model of an ideal halftone 44
3.5 論文作者的角度 49
4. 設計理論ODG函數 50
4.1 光子能量擴散 50
4.2 直接計算ODG的設計 52
5. 結論 56
6. 參考文獻 57
附錄 A: Arney’s experimental 60
附錄 B: Beer’s law 61
附註—寫作格式及頁面設計 63

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