是否有任何算法可以将图像投影到非平面上？
是否有任何算法可以将图像投影到非平坦（变形）表面上？
并没有变形太多。它是一个真正的玻璃表面，上面覆盖着高质量、耐用的描图纸。我有一个它的 3 维模型。如何使用投影仪对其进行纹理化？ 
我想用 C\C++\C# for Windows 编写一个程序，这将是能够使用投影仪对 3 维模型给出的任何表面进行纹理化。
我需要一个算法或包含算法的开源库。
Is there any algorithm for projecting images onto a non-flat (deformed) surface?
It is not deformed too much. It is a really glassy surface covered with high-quality, durable tracing paper. I have a 3-dimensional model of it. How can I texturise it with a projector?
I want to write a program in C\C++\C# for Windows, which would be able to texturise any surface given by a 3-dimensional model using a projector.
I need an algorithm or open source libraries containing algorithms.
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是的，有一个算法。除非您真的想要自己实现它，否则让现有的 3D 图形实现为您完成这项工作可能会更容易 - OpenGL 和 DirectX 都可以让您将纹理应用到物体的表面。 3D模型。 NeHe 教程包含使用 OpenGL 基本思想的示例 。
Yes, there's an algorithm. Unless you really want to implement it on your own, it's probably easier to let an existing 3D graphics implementation do the job for you -- both OpenGL and DirectX will let you apply a texture to the surface of a 3D model. The NeHe tutorials include an example of the basic idea using OpenGL.
根本不清楚标准纹理库将使用什么算法，并且它可能不是真正的投影，因此如果准确性很重要，您可能需要自己执行此操作（或者对给定的特定算法使用哪些特定算法进行一些研究图书馆）。
基本算法很简单。基本上，您只需要找到从投影点发出的线与表面相交的位置。更详细地说：
另一方面，如果您的表面是用数学方法描述的，则可能有一个简单的方程，例如，如果您将平面映射到球体，则可能会出现这种情况。
It's not at all clear what algorithm a standard texturing library would use, and it's probably not a true projection, so if accuracy is important, you many need to do this yourself (or do some research into what specific algorithms are being used for a given library).
The basic algorithm is simple. Basically you just need to find where line emanating from your projection point intersect your surface. In more detail:
On the other hand, if your surface is described mathematically, there may be a simple equation for this, as would be the case, for example, if you were mapping a plane to a sphere.
这称为图像畸变校正。
It's called image distortion correction.