An integral projection is a one-dimensional pattern, or signal, obtained through the sum of a given set of pixels along a given direction. Horizontal and vertical integral projections are most commonly used, although they can be applied on any direction.
be an image (greyscale or color) and R(i) a
region in it (i.e., a set of pixels in i(x,y)),
the Vertical Integral Projection of R(i),
denoted by PVR(i), is a
Integral Projection of R(i), denoted by
PHR(i), is defined in a
Projection Along an Arbitrary Angle a,
denoted by PaR(i), is
defined as the vertical integral projection of R(i),
after applying to the image a rotation of a.
Rapid Alignment of Integral Projections