A panorama, or in fact any photograph, is a flat representation of the scene around
the camera. Essentially, a 3 dimensional world is projected on a flat surface.
There are multiple ways to do this and therefore PTGui offers a wide choice of
panoramic projections. There is no perfect panoramic projection; each projection has its own
properties and limitations.
The desired projection is selected in PTGui using the projection buttons (
)
in the Panorama Editor, or by selecting the desired projection from a list
in the Panorama Settings tab in the main window.
PTGui supports the following panoramic projections:
Rectilinear ('flat'):
This is the projection of the panoramic sphere onto a flat surface. It
is the projection our eyes are used to, the projection of a normal
camera:
Rectilinear projection has the unique property of preserving all
straight
lines: any line that is straight in real world, is displayed as a
straight line in the panorama. This makes it a suitable projection for
architectural panoramas.
However due to the same property it is physically impossible to display
panoramas wider or taller than 180 degrees in rectilinear projection.
At higher field of view, stretching becomes apparent in the sides and
corners of the image. This stretching becomes severe already at 120
degrees and
more.
The corner stretching effect can be reduced by using horizontal and/or
vertical compression: click on Projection Settings in the Panorama Editor and move the compression
sliders to the right. By compressing the rectilinear view it is
possible
to
create panoramas up to 180 x 180 degrees without extreme
distortion. Horizontal and
vertical lines are still preserved as straight but diagonal lines
become curved when compression is used.
For panoramas wider than 180 degrees one of the other
projections should be used:
Cylindrical
This is the result of projecting the panoramic sphere onto the surface
of a cylinder:
Cylindrical panoramas can have a horizontal field of view of up to 360
degrees. In the vertical direction the projection behaves similar to
rectilinear: the vertical field of view has a physical
limit of 180 degrees, and a practical limit of about 120 degrees.
Cylindrical projection therefore is mostly suitable for single
row 360 degree panoramas.
All vertical straight lines are preserved. For horizontal straight
lines, only the horizon itself is a straight line in the cylindrical
panorama. All other straight lines (including horizontal straight lines
above or below the horizon) are projected to a curved line in the
panorama.
As with rectilinear projection, cylindrical projection has a vertical
compression slider. Increasing vertical compression reduces the
stretching effect near the top and bottom of the panorama. At full
vertical compression the result equals Equirectangular projection.
Mercator
This projection is similar to Cylindrical, but with less 'stretching'
at the top and bottom at higher vertical field of views. This is a good
compromise between cylindrical and equirectangular projection and
suitable for 360 degree panoramas with a higher vertical field of view
(more than 90 degrees).
Other than this, the properties are identical to cylindrical
projection: the vertical field of view is limited to 180 degrees; only
vertical straight lines and the horizon line remain straight lines in
the panorama.
Equirectangular
This is a latitude/longitude projection of the panoramic sphere:
The field of view of equirectangular projection is not limited
(although PTGui is limited to 360x180 degrees), which
makes it the choice for full spherical (360° x 180°) panoramas.
As with cylindrical and mercator projection, only vertical lines and
the horizon line
are projected as straight lines in equirectangular projection. All
other lines become curved.
Many spherical panorama viewers (applications that allow you to
interactively look around, up and down in a panorama) use
equirectangular source images and the 360° x 180°
equirectangular
projection has become a standard for exchanging spherical panoramas
between
applications.
Transverse Cylindrical, Mercator and Equirectangular
These projections are equal to Cylindrical, Mercator and
Equirectangular, respectively, but rotated 90 degrees. They support a
vertical field of view of up to 360 degrees while the horizontal field
of view is limited to 180 degrees.
These projections are suitable for tall vertical panoramas.
Circular / Fullframe
These projections simulate a fisheye lens. Both projections give the
same result, but circular output is cropped
to a circle while fullframe output is cropped to a rectangle. The field
of view can be up to 360 degrees in both directions.
A compression setting is available for this projection. At the default
full
compression the result is a true fisheye projection. When the
compression is reduced (slider is moved leftwards) the projection
morphs into rectilinear projection. A fisheye view with reduced
compression can be used as a compromise for wide angle rectilinear
views: straight lines are preserved near the center of the panorama but
will become more curved towards the edges.
Vedutismo
Named after an 18th century painting genre, this projection preserves
all diagonal straight lines through the center of the panorama. It is
most suitable for scenes with a clear 'vanishing point' such as this
one:
It can be used to display panoramas with a horizontal field of view of
up to 360 degrees, although vertical stretching occurs at the
left and right edges of the panorama for very wide panoramas. The
vertical field of view is limited to 180 degrees. Any straight lines
not through the center point of the panorama will become curved.
The Transverse Vedutismo projection has the same properties but is
limited to 180 degrees horizontally and 360 degrees vertically and
could be used for tall vertical panoramas.
Stereographic
Stereographic projection is the projection of a sphere, as seen from
the pole, onto a flat surface. It is famous for the 'little planet'
views:
To make it easy to create little planets an additional projection
'Stereographic Down' is provided, which is the same projection but
rotated such that the nadir of the scene is in the center of the
panorama.
Stereographic projection has an additional compression parameter. At
maximum compression the result is a true stereographic projection;
reducing the compression moves the viewpoint from the pole into the
center of the sphere, effectively morphing the view into a rectilinear
projection.