The construction of thin, doubly-curved shells poses significant challenges, often necessitating expensive fabrication techniques and extensive formwork. Non-planar 3D printing enables precise fabrication of these geometries with reduced formwork. Curvature plays an important role in the design of non-planar print paths. Nevertheless, designing print paths informed by curvature presents a complex challenge, as there are various curvature properties to consider. Although the significance of curvature has been studied extensively in methods like grid shell construction and surface paneling, its impact on the design of print paths has been overlooked. This paper addresses this gap by examining print paths as curves embedded in doubly-curved surfaces, analyzing their normal curvature, geodesic curvature, and geodesic torsion along and orthogonal to the print direction, and evaluating their effects on printing feasibility and surface quality. The findings are applied to print a large-scale anticlastic surface, with reflections on the impact of different curvature alignments.

中文翻译：

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壳体 3D 打印的曲率信息路径


建造薄的双曲面壳体带来了重大挑战，通常需要昂贵的制造技术和大量的模板。非平面 3D 打印可以在减少模板的情况下精确制造这些几何形状。曲率在非平面打印路径的设计中起着重要作用。然而，设计由曲率决定的打印路径是一项复杂的挑战，因为需要考虑各种曲率特性。尽管曲率的重要性已在网格壳构造和表面镶板等方法中进行了广泛研究，但它对打印路径设计的影响却被忽视了。本文通过将打印路径检查为嵌入在双曲面中的曲线，分析其法向曲率、测地线曲率和沿打印方向和正交方向的测地线扭转，并评估它们对打印可行性和表面质量的影响，解决了这一差距。这些发现被应用于打印大规模的抗碎屑表面，并反射了不同曲率对齐的影响。