I'm interested to learn more about how images and radiance can behave like vectors. Can they be translated directly into functions and vectors?
Max
An easy example is interpreting an image as a list (vector) of pixel values which represent the intensity of light at that point. Then you have properties like the norm of this vector being a measure of the total brightness. You might instead want to see it as a two-dimensional object (matrix) and perform an operation like convolution on it.
You can also interpret something like a spectrum (a function from wavelength to the % of effected light) as a vector. The norm of this vector would be the total reflected/absorbed/etc. ratio, and the inner product of two vectors would be the ratio when the spectra are combined, like light reflecting off one onto another.
I'm interested to learn more about how images and radiance can behave like vectors. Can they be translated directly into functions and vectors?
An easy example is interpreting an image as a list (vector) of pixel values which represent the intensity of light at that point. Then you have properties like the norm of this vector being a measure of the total brightness. You might instead want to see it as a two-dimensional object (matrix) and perform an operation like convolution on it.
You can also interpret something like a spectrum (a function from wavelength to the % of effected light) as a vector. The norm of this vector would be the total reflected/absorbed/etc. ratio, and the inner product of two vectors would be the ratio when the spectra are combined, like light reflecting off one onto another.