This paper introduces a novel skiagraphic method for shading toroidal forms in architectural illustrations, addressing the challenges of traditional techniques. Skiagraphy projects 3D objects onto 2D surfaces to display geometric properties. Traditional shading of tori involves extensive manual calculations and multiple projections, leading to high complexity and inaccuracies. The proposed method simplifies this by focusing on the elevation view, eliminating the need for multiple projections and complex math. Utilizing descriptive geometry, it reduces labor and complexity. Accuracy was validated through comparisons with SketchUp-generated shading and various torus configurations. This technique streamlines shading toroidal shapes while maintaining the artistic value of traditional illustration. Additionally, it has potential applications in 3D model generation from architectural shade casts, contributing to the evolving field of architectural visualization and representation.

翻译：本文提出了一种新颖的投影绘图法，用于建筑插图中圆环形体的阴影绘制，以应对传统技术的挑战。投影绘图法将三维物体投影到二维表面以显示其几何特性。传统的圆环体阴影绘制涉及大量手动计算和多重投影，导致高复杂性和不准确性。所提出的方法通过专注于立面视图简化了这一过程，消除了对多重投影和复杂数学运算的需求。该方法利用画法几何学，减少了工作量与复杂度。通过与SketchUp生成的阴影及多种圆环体构型进行比较，验证了其准确性。该技术简化了圆环形体的阴影绘制流程，同时保持了传统插图的艺术价值。此外，该方法在从建筑阴影投射生成三维模型方面具有潜在应用前景，为不断发展的建筑可视化与表现领域做出了贡献。