Title: Study of algorithm on solving normal vector of deformed surface by sphere approximation
Abstract: A method of calculating the normal vector of any point on the deformed surface based on approximating space deformed surface by sphere surface.Firstly,gathering coordinate of discrete points around the target points on the deformed surface,calculate the fitting spherical center as the original value for iteration.Secondly,calculate the distance between discrete points and the sphere,then the average distance is set as the searching target through the mode searching algorithm to adjust the coordinate of spherical center one by one.The error between the approximate sphere surface and the original deformed surface can be reduced by iterative computations until meet the specified one,and then the normal vector of the target point is calculated.Taking aircraft panel surface as example,calculating the normal vector of riveting drilling point on the deformed surface,compared with the real normal vector,the result shows that the algorithm is steady,which has high efficiency and precision,and is adaptive to calculating the normal vector of any point on the space deformed surface.
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot