Abstract Skinning is an essential technology in geometric modeling. Unlike non-uniform rational B-spline (NURBS) skinning, T-spline skinning does not require knot compatibility of the given cross-sections, and avoids superfluous of control points. In this study, we present a curve guided T-spline (CGTS) skinning method for surface and solid generation of high quality, which interpolates the given cross-sections. Guiding curves and least squares progressive and iterative approximation (LSPIA) method are involved in the CGTS skinning. Specifically, the guiding curves provide a visually pleasing shape for the skinned surface and solid, and the LSPIA method simplifies the iterative procedure, ensures the fitting accuracy, and shape preservation. On one hand, the CGTS surface skinning generates a visually pleasing and fairing skinned T-spline surface, which avoids the wiggle and crease problems. On the other hand, the CGTS solid skinning with optimization generates a trivariate T-spline solid with high quality. To meet the requirement of isogeometric analysis (IGA) for the skinned T-spline solid, an optimization approach is employed in the solid skinning to improve the quality of the skinned T-spline solid. Finally, the experimental examples presented in this paper demonstrate the effectiveness and efficiency of the CGTS skinning method.

中文翻译：

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用于曲面和实体生成的曲线引导 T 样条蒙皮

摘要 蒙皮是几何建模中一项必不可少的技术。与非均匀有理 B 样条 (NURBS) 蒙皮不同，T 样条蒙皮不需要给定横截面的节点兼容性，并且避免了多余的控制点。在这项研究中，我们提出了一种用于高质量曲面和实体生成的曲线引导 T 样条 (CGTS) 蒙皮方法，该方法对给定的横截面进行插值。CGTS 蒙皮中涉及引导曲线和最小二乘渐进迭代逼近 (LSPIA) 方法。具体来说，引导曲线为蒙皮表面和实体提供了视觉上令人愉悦的形状，而 LSPIA 方法简化了迭代过程，确保了拟合精度和形状保留。一方面，CGTS 表面蒙皮生成视觉上令人愉悦且光顺的蒙皮 T 样条曲面，这避免了摆动和折痕问题。另一方面，经过优化的 CGTS 实体蒙皮生成高质量的三变量 T 样条实体。为了满足蒙皮T样条实体的等几何分析（IGA）的要求，在实体蒙皮中采用优化方法来提高蒙皮T样条实体的质量。最后，本文提出的实验示例证明了 CGTS 蒙皮方法的有效性和效率。