Computer Vision and 3D printing have rapidly evolved in the last 10 years but
interactions among them have been very limited so far, despite the fact that
they share several mathematical techniques. We try to fill the gap presenting
an overview of some techniques for Shape-from-Shading problems as well as for
3D printing with an emphasis on the approaches based on nonlinear partial
differential equations and optimization. We also sketch possible couplings to
complete the process of object manufacturing starting from one or more images
of the object and ending with its final 3D print. We will give some practical
examples of this procedure.

电脑视觉和 3D 打印在过去 10 年内迅速发展，但两者之间的相互作用迄今为止非常有限，尽管它们共享几种数学技术。我们试图弥补这一差距，提出了一种关于形状来自阴影问题的技术概览，以及基于非线性偏微分方程和优化的 3D 打印方法。我们还勾勒了从物体的一个或多个图像开始并以其最终的 3D 打印结束的物体制造过程的可能耦合方式。我们将给出一些实际示例。