A New Approach for Lofted B-spline Surface Approximation to Scanned Data
This paper addresses the problem of B-spline surface approximation to rows of points by B-spline surface lofting. Lofting is a well known surface create technique and has been used in CAD and CAGD. However, the traditional lofting approach tends to result in an astonishing number of control points in the process of merging the different knot vectors. This paper presents a new approach fixing this problem. The approach includes a novel process of creating a set of compact B-spline curves from the given points. The process is based on the binary search and the least-squares method, determining a set of local common knot vectors of most of rows of points, which meet the given conditions. Then, fully common knot vectors have been determined by the method of merging different knot vectors. The proposed approach is efficient in computation and can realize more efficient data reduction than previous approach without losing the shape of the lofted surface. Several experimental results demonstrate the usefulness and quality of the proposed approach.
B-spline Surface Approximation Surface Lofting B-spline Curve Compatibility Data Reduction
Xianguo Cheng Weijun Liu Hongyou Bian
Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, 110016, China Graduate Scho Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, 110016, China
国际会议
浙江义乌
英文
1204-1208
2010-11-17（万方平台首次上网日期，不代表论文的发表时间）