Add camera lens/sensor shift support with horizontal/vertical shift
adjusters.
Add shifting and rotation of corrected image. This allows
post-correction adjustments to be made more easily given the fixed image
canvas size.
Add scaling of final result. This also helps reduce frustrations with
the fixed image canvas size.
Replace field of view with focal length and crop factor. Use of focal
length and crop factor is more common than diagonal angular field of
view. The new adjusters should be more intuitive for most photographers.
The implementation of perspective correction uses a focal length
relative to the image dimensions. The existing code calculates that
focal length with trigonometry. The new code does it by multiplying
by a ratio.
Replace vertical bias with horizontal and vertical perspective
distortion recovery. Vertical bias is not intuitive as it causes
vertical lines to converge off-center if horizontal correction is
applied. The new adjusters perform perspective distortion on the
projection of the corrected image, allowing vertical/horizontal lines to
converge towards the center lines of the image.
Refactor perspective transformation math to use dynamically computed
homogeneous coordinate matrices instead of pre-calculated formulas. This
should add some overhead, but results in more maintainable code and
possible improved performance due to the reduced number of arithmetic
and assignments needed for each pixel.
Integrate new adjusters in the GUI. This includes fine granularity for
batch processing add/set modes and history.
Add functions for transformations in 3 dimensional homogeneous space.
These include functions that generate transformation matrices and
perform matrix multiplication.
Revise perspective transformation to remove hard-coded angular field of
view and horizontal perspective axis of rotation. Add vertical bias
parameter to retain ability to perform vertical perspective
transformation independent of the horizontal perspective axis of
rotation. Add field of view parameter as a tentative method for
specifying angular field of view.
The current implementation of perspective transformation applies
horizontal perspective transformation in such a way that preserves the
orientation of a horizontal line going through the center of the image.
In common use cases, horizontal lines such as the horizon do not go
through the center of the image. In such cases, the horizontal
perspective axis of rotation should not be parallel to the image's
y-axis. This commit makes the axis of rotation dependent on the vertical
parameter.
The two axes of rotation should be placed at the appropriate distance
from the image in order to prevent stretched or compressed proportions.
In the current implementation, the axes are at a fixed relative distance
from the image. This commit adds the ability to specify the distance in
the form of the diagonal angular field of view.
