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研究生: 王品荃
Wang, Pin-Chuan
論文名稱: 基於物理算圖的肥皂泡色彩模擬
Soap Bubble Color Simulation in Physically Based Rendering
指導教授: 張鈞法
Chang, Chun-Fa
口試委員: 張鈞法
Chang, Chun-Fa
賴祐吉
Lai, Yu-Chi
陳英傑
Chen, Ying-Chieh
陳履恒
Chen, Lieu-Hen
口試日期: 2023/06/20
學位類別: 碩士
Master
系所名稱: 資訊工程學系
Department of Computer Science and Information Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 26
中文關鍵詞: 算圖肥皂泡光線追蹤干涉
英文關鍵詞: Rendering, Soap Bubble, Ray Tracing, Interference
DOI URL: http://doi.org/10.6345/NTNU202300795
論文種類: 學術論文
相關次數: 點閱:114下載:22
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  • 肥皂泡是一種生活中常見的物體,是由肥皂與水組成的薄膜包覆著空氣形成的,不僅形狀多變有趣、也因為在被光照射時會產生出鮮豔的色彩而被人們所喜愛。
    然而,要在計算機圖學中準確模擬肥皂泡並不容易。肥皂泡上的色彩,是由於光波的特性與薄膜互相作用下產生的干涉效應引起的,而如光的波動性這樣較不直觀的光學特性,在以往常常被忽略。
    近年來,基於物理的算圖逐漸在計算機圖學領域中得到廣泛的應用。這種方法能夠很好的模擬真實世界中的光,將光在環境中的吸收、傳播、反射與折射等性質考慮進去,因此,基於物理的算圖適合用於模擬肥皂泡的色彩。
    本文考慮了肥皂泡表面的反射、透射以及光的干涉現象,並結合其他與光波長相關的特性,如色溫、折射率變化等,提出一種基於物理,能夠模擬出接近現實的肥皂泡表面色彩的計算方法,提高計算機圖學中對於薄膜類型的物體與光線互動的真實性。

    Soap bubbles are common objects in daily life, consisting of a thin film of soap and water enveloping air. Not only do they have various and interesting shapes, but they are also loved by people because they produce vibrant colors when illuminated by light.
    However, accurately simulating soap bubbles in computer graphics is not an easy task. The colors on soap bubbles are caused by the interference effect of the interaction between light waves and the thin film. Optical properties such as the wave nature of light, which are less intuitive, have often been ignored in the past.
    In recent years, physically-based rendering has been widely used in computer graphics. This method can simulate light in the real world by taking into account properties such as absorption, propagation, reflection, and refraction of light in the environment. Therefore, physically based rendering is suitable for simulating the colors of soap bubbles.
    This article considers the reflection and transmission of soap bubble surfaces, as well as the interference phenomenon of light, and combines other properties related to the wavelength of light, such as color temperature and changes in refractive index. A physically based calculation method is proposed that can simulate soap bubble surface colors close to reality, and improve the realism of the interaction between objects with film types and light in computer graphics.

    第一章 緒論 1 1.1 研究動機 2 1.2 研究目的 2 第二章 文獻探討 3 2.1 基於物理的算圖與 PBRT 3 2.1.1 BRDF 與 BTDF 4 2.2 波的干涉 5 2.2.1 肥皂泡與薄膜光程差 6 2.3 菲涅耳方程式 7 2.4 CIE 1931 XYZ 色彩空間 8 第三章 研究方法與理論 10 3.1 肥皂泡材質 10 3.2 BRDF 與 BTDF 11 3.2.1 可見光譜採樣與 RGB 值 11 3.2.2 色溫及普朗克黑體輻射定律 12 3.2.3 柯西等式 15 3.2.4 計算干涉反射率與透射率 15 3.2.5 總反射光與透射光 17 第四章 實驗結果與比較 18 4.1 RGB 與可見光光譜採樣 19 4.2 透射光的干涉 20 4.3 有無套用色溫 21 4.4 不同厚度的肥皂泡 22 4.5 與現實照片的顏色分布比較 23 第五章 結論與未來展望 24 第六章 圖片來源 25 第七章 參考文獻 26

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