基于Alpha Shape的三维模型体积研究

体积是物体的一项重要属性，随着视觉识别技术的发展，三维模型体积的测量成了热点问题。本文提出了一种基于AlphaShape边界点检测的三维点云模型的体积求取算法，创新性的运用了二倍宽微分算法，结合对比随机点填充法，进行切片面积和三维体积的求取。实验表明，所设计方法所得体积误差在1%左右，能满足工程要求，具有高效性和较高的实用性，可用于实际工程中解决不规则三维物体的体积问题。

Volume Research of 3D Model Based on Alpha Shape

Volume is an important attribute of objects. With the development of visual recognition technology, the measurement of 3D model volume has become a hot issue.In this paper, a volume calculation algorithm of 3D point cloud model based on AlphaShape boundary point detection is proposed, which innovatively uses double width differential algorithm and contrast random point filling method to calculate slice area and 3D volume.The experimental results show that the volume error of this method is about 1%, which can meet the engineering requirements and has high efficiency and practicability. It can be used to solve the volume problem of irregular three-dimensional objects.