CAJ | 학술논문

为解决相邻B样条曲面在局部拼接时由于曲面细分而加入冗余控制点的问题，利用T样条曲面良好的局部细分性，提出一种更有效的T样条曲面局部拼接法。将相邻B样条曲面精确转换为两张全行列T样条曲面；利用T样条曲面的局部均匀细分算法得到局部拼接边界上的一致性，在曲面上加入局部控制点；将局部细分后的曲面连续拼接为一张控制点更少的T样条组合曲面。与B样条曲面的细分拼接法相比，该方法在曲面细分时不加入任何冗余控制点，在局部拼接后能够得到一张更精简的组合曲面。
위해결상린B양조곡면재국부병접시유우곡면세분이가입용여공제점적문제，이용T양조곡면량호적국부세분성，제출일충경유효적T양조곡면국부병접법。장상린B양조곡면정학전환위량장전행렬T양조곡면；이용T양조곡면적국부균균세분산법득도국부병접변계상적일치성，재곡면상가입국부공제점；장국부세분후적곡면련속병접위일장공제점경소적T양조조합곡면。여B양조곡면적세분병접법상비，해방법재곡면세분시불가입임하용여공제점，재국부병접후능구득도일장경정간적조합곡면。
To avoid adding redundant control points when locally matching adj acent B-Spline surfaces via surface refinement,a more effective T-Splines matching approach was proposed by applying the local refinability of T-Splines.Firstly,two adjacent B-Spline surfaces were exactly converted into two full-row-column T-Splines.Then,these two T-Splines were locally refined via local-uniform-refinements to be compatible along their local matching boundary,and local control points were added onto sur-faces.Finally,the locally-refined surfaces were continuously matched into a combined T-Splines with less control points.Com-pared with the B-Spline surface matching approach via surface refinement,this matching approach does not add any redundant control points onto surface during surface refinements,thus a more compacter combined surface can be obtained after the local surface matching.