blocks|key|1256159|text|矩阵，三角，几何，还有一点线性代数|type|unstyled|depth|inlineStyleRanges|entityRanges|data|1256160|看看这里，http://www.essentialmath.com/|offset|length|1256161|entityMap|0|LINK|mutability|MUTABLE|url|http://www.essentialmath.com/^0|0|5|T|0|0^^$0|@$1|2|3|4|5|6|7|N|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|O|8|@]|9|@$D|P|E|Q|1|R]]|A|$]]|$1|F|3|-4|5|6|7|S|8|@]|9|@]|A|$]]]|G|$H|$5|I|J|K|A|$L|M]]]]

Matrices, trig, geometry mostly and a bit of linear algebra

Take a look here <a href="http://www.essentialmath.com/" rel="noreferrer">http://www.essentialmath.com/</a>

blocks|key|1256207|text|复杂的数学可以发挥作用，但最重要的是理解这些数学背后的概念，而通常不是数学本身。只要您了解所有这些都是如何结合在一起的，通常会有一些辅助方法来处理您需要的许多计算。当然，这在很大程度上也取决于您使用的开发平台。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|1256208|entityMap^0|0^^$0|@$1|2|3|4|5|6|7|D|8|@]|9|@]|A|$]]|$1|B|3|-4|5|6|7|E|8|@]|9|@]|A|$]]]|C|$]]

Complex math comes in to play, but most important is an understanding of the concepts behind such math and often not the math itself. So long as you understand how it all comes together, there are often helper methods for many of the calculations you will need. Of course that depends largely on the development platform you are using as well.

blocks|key|1470970|text|在大多数情况下，线性代数和计算几何；四元数被广泛使用，如果您正在使用物理引擎，则数值分析是必要的。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|1470971|你每天会用多少取决于你在做什么。如果您是一名图形程序员，并因此构建3D图形引擎本身，那么您可能会实现或维护实际执行数学运算的类库和函数的实现，因此了解相关细节将是相对重要的。如果您使用该库作为客户端或使用游戏引擎的其他部分(AI、音频、UI、摄像头等)然后，你将需要从概念上理解数学，但你当然可以不知道如何在头顶上的白板上实现矩阵求逆。|1470972|图形API并不能消除某些人了解此数学知识的需要；它们仅限于绘图，因此所有的场景管理和世界模拟都需要在图形API之外实现。当然，那里也有中间件选项，但许多工作室都有自己的系统。|1470973|有相当数量的资源瞄准了这个市场。例如，亚马逊上有像3D+Math+Primer+For+Graphics+and+Game+Development这样的书籍，在线上可能也有很多东西。|offset|length|1470974|entityMap|0|LINK|mutability|MUTABLE|url|https://rads.stackoverflow.com/amzn/click/com/1556229119^0|0|0|0|P|1C|0|0^^$0|@$1|2|3|4|5|6|7|R|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|S|8|@]|9|@]|A|$]]|$1|D|3|E|5|6|7|T|8|@]|9|@]|A|$]]|$1|F|3|G|5|6|7|U|8|@]|9|@$H|V|I|W|1|X]]|A|$]]|$1|J|3|-4|5|6|7|Y|8|@]|9|@]|A|$]]]|K|$L|$5|M|N|O|A|$P|Q]]]]

For the most part linear algebra and computational geometry; Quaternions are used extensively and numerical analysis is necessary if you are working on a physics engine.

How much you'd use the stuff on a daily basis depends on what you are doing. If you are a graphics programmer, and therefore building the 3D graphics engine itself, then you would likely be implementing or maintaining implementations of class libraries and functions that actually do the math, so it would be relatively important to know the gory details. If you are using the library as client or working on another part of the game engine (AI, audio, UI, camera, etc.) then you will need to understand the math conceptually but you can certainly get away with not knowing how to implement a matrix inverse on a whiteboard off the top of your head.

Graphics APIs do not eliminate the need for someone to know this math; they are limited to drawing, so all the scene management and world simulation needs to be implemented outside the graphics API. Of course, there are middleware options there too but many studios roll their own systems.

There are a fair number of resources targeted at this market. For example, on Amazon there are books like <a href="https://rads.stackoverflow.com/amzn/click/com/1556229119" rel="noreferrer" rel="nofollow noreferrer">3D Math Primer For Graphics and Game Development</a>, and there's probably a lot of stuff online too.

I'd like to get an idea what kind of math is typically necessary for 3D game engine programming? Any specific math (such as vector geometry) or calculation algorithms (such as fast fourier transforms), or is this all abstracted away with DirectX/OpenGL so that highly complex math isn't really necessary any more?

Math used in 3D (Game) Engine Programming

游戏引擎

中间件

我想知道3D游戏引擎编程通常需要什么样的数学知识？任何特定的数学(如矢量几何)或计算算法(如快速傅立叶变换)，或者这些都是通过DirectX/OpenGL抽象出来的，所以不再需要高度复杂的数学？

问3D (游戏)引擎编程中使用的数学
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