STL模型的拓樸重建與圖樣投影應用

Abstract

本文旨在研究STL(立體光刻)模型的拓樸資訊的重建及錯誤的修復，並介紹了在STL模型表面上投影圖案的一些應用。STL模型是一種儲存著近似三維模型表面三角片資訊的文件。在本論文中以C++語言開發一個對STL檔案進行修復及重建拓樸關係的程式。此外，在本文中開發了一些對於STL模型的應用工具，包括生成輪廓線和圖樣投影。在生成輪廓線中，首先找出模型的上表面，並修補上表面中的破洞，最後以模型的拓樸關係可以找出輪廓線。對於在STL模型表面上的圖樣投影，以給定的特定方向投影線段在STL模型上，並獲得由線段組成的投影圖案。最後，提出了鞋模塗膠線的投影和半球模型上的電路線投影等應用方法。結果顯示了針對STL模型拓樸關係的重建、模型錯誤的修復和投影等程式的有效性及可行性。

This thesis studies the topology reconstruction and defect repairing of STL (Stereolithography) models, and some applications for projection of patterns on STL model surfaces are also presented. The STL model is a file that stores triangular facets information of approximates 3D model surfaces. A self-developed C++ program is used to repair possible defects in STL files, and to reconstruct the topology information of the models. In addition, some application tools for processing STL models are also developed, including contour line searching and pattern projection on STL models. In model contour line searching, top surface facets are first generated, holes in top surfaces are repaired, and then contour line can be found from model topology information. For the pattern projection on STL model surfaces, first projection of a line segment in 3D space on STL models with given projection direction is developed, then projection of patterns consisting of line segments can be obtained. Finally, applications such as projection of gluing lines of shoe models and projection of circuit wires on hemisphere models are presented. It shows that the software tools of topology reconstruction, model defect repairing and pattern projections for STL models can be used effectively and successfully.