orthographic projection
orthogonal projection

That game was way too fast on my 286, and I never did figure out orthographic projections.

The point of perspective for the orthographic projection is at infinite distance.

The perspective projection requires a more involved definition as compared to orthographic projections.

Orthographic projection is a way of showing a 3D object in 2D.

There are many possible orthographic projections that can show the cross-polytopes as 2-dimensional graphs.

In an orthographic projection, objects retain their original size regardless of distance from the camera.

Within orthographic projection there is the subcategory known as pictorials.

The maps used orthographic projection of the surface as viewed at mean libration.

An example function is which defines a two dimensional orthographic projection matrix.

However, the assumption of orthographic projection is a significant limitation of this system.

It is the roof plan that would form the conventional orthographic projection onto the top of the transparent cube.

This is an orthographic projection onto a cylinder secant at the 30 parallels.

Some circular fisheyes were available in orthographic projection models for scientific applications.

Centre : An orthographic projection of a vertical cylinder and its shadow.

For directional light (e.g., that from the Sun), an orthographic projection should be used.

This is then followed by an orthographic projection to the x-y plane:

Orthographic projection is used to represent a 3D model in a two dimensional (2D) space.

The orthographic projection has been known since antiquity, with its cartographic uses being well documented.

This ensures that the sign of the orthographic projection as written is correct in all quadrants.

Orthographic projections are right angled views ideally suited to the study of everyday objects.

The only standard across engineering workshop drawings is in the creation of orthographic projections and cross section views.

Elevations are the most common orthographic projection for conveying the appearance of a building from the exterior.

The formulas for the spherical orthographic projection are derived using trigonometry.

But for some reason, when I tried to convert them to orthographic projections I ran into trouble.

A simple case occurs when the orthogonal projection is onto a line.

Oddly enough, it wasn't a perspective view but an orthogonal projection.

The last formula gives a form for the orthogonal projection from to .

This is also the graph of the 10-simplex, in a skew orthogonal projection.

It is a special case of orthogonal projection.

This expression generalizes the formula for orthogonal projections given above.

In the following, the orthogonal projection on will be denoted by .

The orthogonal projection can be represented by a projection matrix.

It is the orthogonal projection of a circle onto a plane inclined to its own plane.

Then for all , the orthogonal projection of onto will satisfy .

Now let be the operator acting on , where is the orthogonal projection to .

Now using properties of the trace and of orthogonal projections we have:

Perspective projection or orthogonal projection is possible depending on the pose representation used.

For every vertex in , we consider the orthogonal projection of each onto .

This formula can be generalized to orthogonal projections on a subspace of arbitrary dimension.

In particular a can be approximated in norm by linear combinations of orthogonal projections.

Orthogonal projections of the 120-cell can be done in 2D by defining two orthonormal basis vectors for a specific view direction.

Thus P and Q are orthogonal projection operators.

The edge-first orthogonal projection of a 24-cell is an elongated hexagonal bipyramid.

The map used for the embedding is at least Lipschitz, and can even be taken to be an orthogonal projection.

In Euclidean geometry, an orthographic projection is an orthogonal projection.

The icosahedron has three special orthogonal projections, centered on a face, an edge and a vertex:

Let P be the orthogonal projection of onto for some Ad-invariant inner product on .

Orthogonal projections of higher dimensional polytopes can also create pentagrammic figures:

Analytically, orthogonal projections are non-commutative generalizations of characteristic functions.