参考一下网址:
https://blog.csdn.net/csxiaoshui/article/details/65446125
https://www.cnblogs.com/clairvoyant/p/5882754.html
世界坐标中的一个点乘以一个四维矩阵,可以实现平移,旋转和缩放等等。
平移就是
,旋转和缩放就是
(M分别是对应的旋转缩放矩阵)
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9nby9hSFIwY0RvdkwyeGhkR1Y0TG1OdlpHVmpiMmR6TG1OdmJTOW5hV1l1YkdGMFpYZ19KVFZDZUNVeVEza2xNa042SlRWRUpUSTNKbkJzZFhNN0pUVkNaSGdsTWtOa2VTVXlRMlI2SlRWRUpUSTM%3D.jpg?w=700&webp=1)
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwMi5qcGc%3D.jpg?w=700&webp=1)
当
中为0时,是向量,为1时,是坐标。
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwMy5qcGc%3D.jpg?w=700&webp=1)
平移,
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com: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.jpg?w=700&webp=1)
旋转,
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwNS5qcGc%3D.jpg?w=700&webp=1)
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwNi5qcGc%3D.jpg?w=700&webp=1)
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwNy5qcGc%3D.jpg?w=700&webp=1)
缩放,
![旋转、平移、缩放矩阵 旋转、平移、缩放矩阵](https://image.shishitao.com:8440/aHR0cHM6Ly93d3cuaXRkYWFuLmNvbS9pLzc1MzlmYjJiMDFjYzJhN2FhNmU1NjI1YjlkYTY5N2QwOC5qcGc%3D.jpg?w=700&webp=1)