密度感知质心的3D打印平衡性优化建模

Density Aware Balance Optimization Modeling of 3D Printed Objects

密度是几何模型最重要的物理属性之一,可以决定模型的质量、质心以及转动惯量等物理属性.为实现单一材质下模型的质心与质量的建模,提出一种密度感知质心的内部支撑结构建模方法.首先采用隐式曲面建模的方法来实现模型的偏置,利用体素化的算法对偏置模型进行空间域的几何分割;然后构建目标函数方程以及约束条件并进行求解;最后采用隐函数构造体积分数可控的多孔结构,实现空间域的密度建模.实验结果表明,该方法能够构建密度可控的内部支撑结构来满足质心、质量等物理属性的几何建模,并且能够保证内部结构之间的平滑连接.

Density is one of the most important physical properties of the object, because it can determine the total mass, center of mass and moment of inertia of the model. In order to implement the center of mass modelling of 3D printed objects with a single material, this paper proposed an internal supporting structure modeling method based on aware density. First, a mesh offset operation is conducted, which is based on implicit surface modeling method and then the voxelization algorithm is used to divide the geometric space. Next, the objective function and the constraint conditions are constructed, and solved. Last, the controllable porous structure with the implicit function is used to realize the density modeling of the spatial domain. Experimental results show that the method can generate the model with gradient and smooth porous structures which can meet the center of mass property.