CAJ | 학술논문

为了解决工业设计中复杂形体的曲面造型问题，提出了一种张量积型的低阶B-样条曲面重建算法。先将采集到的任意拓扑形状的散乱数据点进行三次不同的参数化得到四边形控制网格，然后再采用张量积型的双二次、双三次B-样条进行拟合，在拟合的过程中采用距离函数来控制拟合误差，得到光滑的曲面。运用该方法，直接对初始散乱点集进行重建，方法简单易实施，重建效率高并且重建后的样条曲面自然满足切平面连续。与以往的方法相比，该方法在逆向工程中可以在保证连续性的情况下，得到精准的结果曲面，提高了曲面造型的质量和效率。
위료해결공업설계중복잡형체적곡면조형문제，제출료일충장량적형적저계B-양조곡면중건산법。선장채집도적임의탁복형상적산란수거점진행삼차불동적삼수화득도사변형공제망격，연후재채용장량적형적쌍이차、쌍삼차B-양조진행의합，재의합적과정중채용거리함수래공제의합오차，득도광활적곡면。운용해방법，직접대초시산란점집진행중건，방법간단역실시，중건효솔고병차중건후적양조곡면자연만족절평면련속。여이왕적방법상비，해방법재역향공정중가이재보증련속성적정황하，득도정준적결과곡면，제고료곡면조형적질량화효솔。
In order to solve the surface modeling problem of complex objects in industrial design,this paper presented a low order tensor product spline surface reconstruction algorithm.First,it parametrized the arbitrary topological shape scattered data points three times differently to obtain the quadrilateral control mesh.Then,it used the bi-quadratic and bi-cubic tensor product B-spline to fit and used the distance function in the fitting process to control the fitting error.Finally,it got a smooth surface. This method could reconstruct the initial scattered points directly,it was simple and implement easily.Besides,the efficiency was high,the reconstructed B-spline surface satisfied the tangent plane continuity.Compared with previous methods,this meth-od can obtain accurate result surface,it improves the quality and efficiency of the surface modeling.