变换缩放似乎不起作用
我正在实现一个列主变换矩阵，看起来像这样：
|----------| |------------| |------------|
| 0 3 6 9 | | RS R R X | | RS R R X |
| 1 4 7 10 | | R RS R Y | | R RS R Y |
| 2 5 8 11 | | R R RS Z | | R R RS Z |
|----------| |------------| | 0 0 0 1 |
|------------|
我知道缩放应该应用于位置 0、4 和 8，但它似乎不起作用。我从四元数设置方向，设置适当的位置，然后尝试将缩放乘以位置 0、4 和 8。当将此变换输入 OpenGL 时，我的形状会拉伸和挤压，并且不会适当缩放。我在这里错过了什么吗，我认为缩放是沿对角线的简单乘法？我的方向应用程序相对简单，但添加缩放操作会导致奇怪的剪切和挤压效果。我做错了什么？
I am implementing a column-major transformation matrix that looks something like this:
|----------| |------------| |------------|
| 0 3 6 9 | | RS R R X | | RS R R X |
| 1 4 7 10 | | R RS R Y | | R RS R Y |
| 2 5 8 11 | | R R RS Z | | R R RS Z |
|----------| |------------| | 0 0 0 1 |
|------------|
I understand that scaling is supposed to be applied to positions 0, 4, and 8, but it doesn't seem to work. I set the orientation from a quaternion, set the position as appropriate, and then attempt to multiply in my scaling to positions 0, 4, and 8. When this transform is fed into OpenGL, my shapes stretch and squash and do not scale appropriately. Am I missing something here, I thought scaling was a simple multiplication along the diagonals? My orientation application is relatively straightforward, but adding the scaling operation to it results in strange sheering and squashing effects. What am I doing wrong?
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您想到的缩放矩阵仅适用于仅缩放或将其乘以已存在的转换。一旦基础变换不是同一性，销售因素就适用于整个左上 3x3。只计算乘法
The scaling matrix you have in mind is only useful for either only scaling, or multiplying it to an already existing transformation. As soon as the base transformation is not identity the sale factors apply on the whole upper left 3x3. Just evaluate the multiplication