Density Aware Internal Supporting Structure Modeling of 3D Printed Objects

Physically based modeling is a novel theory for 3D printing, it can use a single material to control the physical properties, such as center of mass, total mass and moment of inertia. In this paper, we present a density variable shape modeling method to meet the required strength of 3D printed objects. We estimate a continuous density distribution that satisfies the detected stress distribution of the 3D objects, which is based on the cross-sectional stress analysis method. We then use a pure mathematical 3D implicit function to create a gradational porous structure to represent this density distribution. With our technique, 3D printed objects that have desired sound structures can be fabricated. Meanwhile the material consumption can be reduced significantly.