形象化在OpenGL 4D对象 [英] Visualising 4D objects in OpenGL

问题描述

你知道的任何，积极开发，C / C ++库，可以拿一把（preferably大量）4D顶点，项目它们放回三维空间相对于一些任意的4D相机投影矩阵输出常规三维顶点，我可以养活转换成OpenGL硬件加速可视化？我还需要在四维空间（平移，旋转带齐4轴和均匀缩放）执行标准转换的能力。

Do you know of any, actively developed, C/C++ library that can take a bunch (preferably a large amount) of 4D vertices, project them back into 3D space with respect to some arbitrary "4D camera" projection matrix and output regular 3D vertices that I could feed into OpenGL for hardware accelerated visualisation? I'd also need the ability to perform standard transformations in 4D space (translation, rotation along all 4 axes and uniform scaling).

推荐答案

下面是一个贫穷的答案（因为我绝不是对主题的专家），但我决定采取快速浏览一下四周，想出了本文： http://steve.hollasch.net/thesis/#chapter4

The following is a poor answer (since I am by no means an expert on the topic), but I decided to take a quick peek around and came up with this thesis: http://steve.hollasch.net/thesis/#chapter4

四维物体的投影分为3个空间，正如你所期望的，对3D的投影到二维空间的简单扩展，而上述论文演示了4D不同种类的投影到二维空间。在code样品在C，所以它应该很容易理解。

Projection of a 4D object into 3-space is, as you would expect, a simple extension on the projection of 3D into 2-space, and the above thesis demonstrates different kinds of projection from 4D to 2-space. The code samples are in C, so it should be easy to follow.

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