针对主流的三维建模软件专业门槛较高,学习成本较高,严重阻碍了3D打印技术普及应用的问题,结合直观的三维变形技术,提出了一种基于梯度变形的多边形建模方法,该方法通过作用于待变形区域的梯度变化的变形偏移量实现模型局部变形,并增加三角网格防退化约束以保持变形前后网格数不变.通过设置曲面边界控制变形的范围,通过设定控制点和目标点来控制变形的形状,并且通过对变形后网格三角形面积的检测排除退化网格.最后,在Web平台实现了该方法.研究结果表明:变形计算时间与待变形网格数成正比,局部变形的3D建模设计过程中,计算速度非常快.%Aimed at the program of the application of 3D printing technology seriously hindered by the existing 3D modeling software with high professional barriers and high learning cost, combined with the intuitive 3D deformation technology, a polygon modeling method was showed which was based on gradient deformation. This method achieves the local deformation by the gradient deformation offset applies to the editing area, and the constraint of grid degenerate was used to keep the mesh number unchanged before and after deformation. By setting the boundary of the surface to control the deformation area, the shape of the deformation was controlled by the control points and the target points, and the degradation grid was eliminated by the detection of the triangle area after deformation. Finally, the method was implemented on the Web platform. The results indicate that the calculation time of deformation is proportional to the number of mesh to be deformed, and the calculation speed is very quick by the 3D design process of local deformation.
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