B-spline曲面之重建與連續性嵌合

Abstract

隨著電腦硬體開發，工業發展的自動化，電腦輔助設計軟體在工業界佔有相當重要的角色。為求產品能在世界各地量產，仿製作業需求上升，逆向工程即成為重要課題。由產品外型的點資料掃描，經過分割、鋪面、曲面調整等，一連串的資料分析與製程規劃，皆須透過電腦輔助設計軟體提高效率。 本研究著重於逆向工程中之曲面連續性調整，針對鋪面後輸出之曲面，進行邊界連接順化作業。以B-spline參數曲面為研究基底，包含剪切及非剪切曲面，利用數值方法進行曲面最佳化的重建及調整，以輸出符合連續性條件之曲面為目標。本研究可減少逆向工程手動調整之開發時程，增加開發效率。

As computer hardware develops and industrial development automates, computer-aided design software plays an important role in the industry. For the purpose of mass production in the world, the requirements of the work of imitation grow rapidly. Therefore reverse engineering is generated. Measuring the shape of products, segmentation, surface reconstruction, and surface adjustment are a series of reverse engineering. These above steps can be efficiently improved through computer-aided design. This research focuses on the surface continuity adjustment of reverse engineering. To reach the smoothness of adjacent surfaces, the output of surface reconstruction has been modified. By using numerical methods to optimize B-spline surface, including trimmed surface and untrimmed surface, to satisfy the continuity constraint. This research devotes to save the time of manual adjustment in reverse engineering and increase the developing efficiency.