# Is video considered a Tensor?

A sampled single dimensional signal is a vector. A sampled image is a matrix. Is video considered a rank-3 tensor since it is a set of images stacked on top of each other?

• Tensor is not just a higher rank array, it must be independent of the coordinate system. In your case I'd say that a video is a rank-3 array. – Sturm Sep 26 '13 at 22:33
• So, by independent of coordinate system, do you mean that a tensor does not have a basis? Sorry, brand new to Tensors! – user5535 Sep 26 '13 at 23:00
• Tensor is used for multi-way array; not for the tensor field. So it is just a generic name for multi-way array in machine learning community (search: tensor factorization). So, from this point, yes video is a tensor, it is an array of dimension $m\times n\times 3$. – Deniz Jan 9 '14 at 22:11
• @Sturm I think you might be mixing up the terms "tensor" and "tensor field". I think depending on the field you are in, these are sometimes used interchangeably. – val Jan 9 '14 at 23:40