球体上的寻找点 [英] Finding point on sphere

问题描述

因此，我需要使用半径，圆心和旋转矢量在球体表面上找到该点.我现在有这个等式:

So I need to find the point on a sphere's surface using the radius, the center of the circle and the rotation vector. I have this equation right now:

x = position.x + radius * Math.cos(rotation.x) * Math.sin(rotation.y)
y = position.y + radius * Math.sin(rotation.x) * Math.sin(rotation.y)
z = position.z + radius * Math.sin(rotation.y)

此公式产生的疯狂结果完全不是我所需要的.老实说，我不知道自己做错了什么，我尝试使用在这里找到的公式: 球形物的发现点

This formula produces crazy results that are totally not what I need at all. I quite honestly have no idea what I've done wrong, I tried to use the formula I found here: Finding Point on sphere

但是没有用.我做错了什么?

But it didn't work. What have I done wrong?

推荐答案

在第三行中，您应具有余弦值:

In your third line, you should have the cosine:

z = position.z + radius * Math.cos(rotation.y)

同样，如果rotation.x和rotation.y以度为单位，则在将它们用作sin和cos的参数之前，可能需要将这些值乘以pi/180.

also, if rotation.x and rotation.y are given in degrees, you might need to multiply the values by pi/180 before giving them as arguments to sin and cos.

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