球形弹丸正撞击碎片云头部形状的辨识

为了辨识碎片云头部形状，提出了对其形状进行边缘提取、利用二次函数进行边缘最优拟合、并根据拟合结果作出判断的方法。给出了二次函数对边缘的最优拟合算法。对来自不同文献的4幅碎片云图像，提取了他们头部的边缘曲线，进行了最优拟合和形状辨识。辨识结果显示，3幅图像的头部形状为抛物线，1幅图像的头部形状为椭圆。辨识结果表明，至少有一部分碎片云的头部形状是旋转抛物面, 而不是椭球面。

Head shape recognition of debris cloud producedby normal impact of spherical projectile

There are various models of the debris cloud produced by normal impact of spherical projectile, but a common ground of the models is that the head shape of the debris cloud is ellipsoidal. In order to identify the head shape of the debris cloud, a new method was presented, which extracts the edge of the debris cloud image, searches for the optimal quadratic function fitting of the edge, and then adjudge the head shape according to fitting results. The optimal fitting algorithm of quadratic function was given as well. Based on four of debris cloud images of references, the recognition was carried out after extraction of their head shape and the optimal quadratic function fitting, and the results show that there are three images with parabolic head shape, one image with elliptic head shape. Thus, the head shape of debris clouds includes not only the rotation ellipsoid, but also the rotation paraboloid.