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| Analysis-Suitable T-Spline Fitting for Sculptured Surface Reconstruction |
| LU Yu 1，2 , WANG Jian 1 , PENG Lihua1 ，XU Long1 |
| ( 1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; 2. Wuhan Branch, ZWSOFT Ltd. (Guangzhou), Wuhan 430000, China ) |
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Abstract Surface reconstruction with high efficiency and accuracy is required in advanced aerospace manufacturing and measurement. As wildly used models, B-spline and NURBS are the main tools for surface reconstruction in existing methods. However, the topological constrains of B-splines and NURBS control meshes make it produce a lot of redundant control points when modeling surfaces. Newly proposed T-splines in recent years have provided a method to solve this problem. Analysis-suitable T-splines (ASTS), a subset of T-splines with certain topological constrains were later developed, which optimized the mathematical properties and localized refinement capability of T-splines. T-splines have been successfully applied to surface reconstruction, while ASTS-based surface reconstruction algorithms are in vacancy at the moment. This paper proposes a surface reconstruction method based on analysis-suitable T-splines. Adaptive construction of an initial AST-mesh and efficient local refinement are performed in the algorithm to generate an ASTS surface within certain tolerance. Our experimental results show that the proposed ASTS fitting can generate spline surface with higher accuracy than NURBS fitting with the same amount of control parameters. The computing efficiency of the proposed algorithm is higher than simple T-spline fitting.
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2020, 
