If the affine structure is not of interest (graphics), it is possible to bypass the affine coordinates and express the new image coordinates directly in terms of the first two sets of image coordinates and . One can write the projection equations in the first two views as

where and are matrices with rows and respectively. The new view can be similarly written as

where has rows .

Now, any three rows of
define a linearly independent spanning set for , say
. So, there exists scalars such that

Then, gives

Thus, if images of an object are obtained using affine cameras, then a novel view can be expressed as a linear combination of views (this is useful for object recognition).