Equal Area Projection is also called homolographic projection.

Example: Projection of a convex set on a subspace.

Determine the algebraic projection of on the direction of .

The result obtained is equivalent to a photographic orthogonal projection of this elevation.

The orthogonal projection in a space is always equivalent to the parallel projection in its dual space…

The orthogonal projection of on Vj is then defined by:

We assume that \(Q_{m}\in V_{m}\) is an orthogonal projection.

For the line in and its orthogonal line through the origin with we consider the orthogonal projection of the unit square on (red line segment).

For the line in R2 and its orthogonal line through the origin with we consider the orthogonal projection of the unit square on g2 (red line segment).

Similarly, the orthogonal projection of an n-dimensional hyper cube is fully described by the projection of the coordinates of the vertices .

Similarly, the orthogonal projection of an -dimensional hypercube is fully described by the projection of the coordinates of the vertices.

Let P be the orthogonal projection onto {ψ ∈ H| Uψ = ψ} = Ker(I - U).

Perspective projection is used in respect of those portions of the scene for which a noticeable difference would occur between rendering in perspective projection and rendering with an orthogonal projection.

Finally, the clarified interferences in the intermediate space can be eliminated from the measured signal using, for example, the linear algebraic orthogonal projection.

Compute the eigenvalues of the orthogonal projection of A onto the Krylov subspace.