Skew Tay Tracing at Ellipsoidal Optical Boundary Surfaces

• Main Authors: Yi-Wei Chang, 張義偉
• Other Authors: 盧嘉鴻
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/68898939950108382502

碩士 === 正修科技大學 === 電子工程研究所 === 99 === In this paper, a skew ray tracing method has been derived by using 4 × 4 homogeneous coordinate transformation matrix and Snell’s law, and a cylindrical, an elliptical, a spherical and a planar optical interface were explored by the derived method. And then to establish the theoretical basis of optical lens and mirror image system (Catadioptric imaging system) base on derive results. The modeling of a fixed single camera panoramic imaging system and the system’s preliminary design and manufacturing were completed at the same time. In the second chapter of this thesis, the homogeneous coordinate transformation method and the Snell’s law of geometrical optics were proposed to analyze the refraction (reflection) direction and the incident point of light (refraction point)when skew rays travel through the medium boundary. The results are analytical mathematical models suitable for a variety of basic phenomena of geometrical optics. Then in the third chapter, the analysis of light propagation process and the following four geometrical optics interface refraction (reflection) process were established by skew ray tracing method (1) cylindrical optical interface ;(2) ellipsoidal optical interface ; (3) spherical optical interface and (4) planar optical interface. In the fourth chapter of this paper, we derived the model of fixed single camera for panoramic imaging system from the results of the third chapter, and the geometrical relationship between image point and object point of a single-camera panoramic fixed imaging system was analyzed. A preliminary design and manufacturing of the system also has been completed. In the fifth chapter , from the actual imaging results of the fixed single camera panoramic imaging system which modeling with skew ray tracing, we concentrate that light emit from any given point in the range of the visual system can be imaging in the imaging plane (CCD).