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Looking at the variable names in the code and considering the context, it seems to me that the author is using the word "Lazy" to describe the approach. I believe the author actually means that a naïve approach to producing a grayscale image is being used. If you want to use a less-naïve approach, you might consider producing the dot product of ...

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Do they mean the strides that are related to the CNN, pooling, etc., or are they referring to any other stride information? The stride referred to by the quote "only plays with the size and stride information at the tensor level" is referring to internal storage of tensors. Luckily in most normal conversations about AI logic you do not care about ...

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I explain in this answer what a projective transformation (aka projectivity or homography) is. It's a function $h$ of the form $$h: \mathbb{P}^2 \rightarrow \mathbb{P}^2,$$ where $\mathbb{P}^2$ is a projective space, so, essentially, a 3-dimensional Euclidean space of homogenous vectors. You can also represent a homography as a $3 \times 3$ matrix \$\mathbf{H}...

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