Automatic calculation of eyeglass frames and lenses enables customized fit
International eyeglass manufacturer
Rodenstock GmbH of Munich
has developed an optometrist service terminal that can do just that.
It enables automatic calculation of eyeglass frames and lenses
customized to fit an individual's face - all in about a second.
The terminal, called the ImpressionIST, performs several tasks.
It provides interactive information about the eyeglasses, presents
frames from which the customer can choose, calculates the ideal
dimensions of the glasses via a three-dimensional video system, and
offers consultation regarding the quality of the glasses. The
technical requirements of the system are targeted to the aesthetic
aspects of choosing glasses.
Exacting images
The patent-pending 3D video system, which measures the
customer's face, must make the fitting procedure as easy
as possible. Thus, the 3D measurements are done with the
customer looking into a semitrans-parent mirror that is 75 cm away.
The imaging system, mounted behind the mirror, is hidden from view.
It uses two cameras from Allied Vision Technologies to take images
simultaneously. After the measurements are concluded, the optometrist
can go over the images with or without the customer.
One camera captures the face from the front and the other, from
below and the side (Figure 1). These create aesthetically pleasing
images, while being suitable for analysis.
The images are processed based on the software library HALCON
from MVTec Software GmbH of
Munich. The software delivers the real-world 3D coordinates
necessary for manufacturing the frames and lenses. By acquiring
a calibration plate before the first start-up of the ImpressionIST,
inner and outer camera parameters can be appointed to deliver the
coordinates.
The analysis begins with a position cross mark placed at each
pupil's center on the image of the front of the face (Figure 2).
The software uses information about the camera position,
illumination and reflection from the cornea to calculate
the centers.
To make measuring as comfortable as possible and to ensure the
customer's elemental posture during image acquisition, no flash
is used. For this reason, three 11-W lamps from Osram are
integrated into the system, arranged to find the pupils' centers
from the reflections on the corneas. The showroom should be
illuminated with diffuse light.
The final position can be adjusted by the optometrist. The brims
of the glasses are computed by edge extracting each glass's front.
Other cross marks are positioned at the point where the extensions
of the straight lines through the pupils' cross marks meet the
brims. These marks also can be adjusted. The same positions are
determined for the image from the other camera, and the already
adjusted cross marks from the front image are projected onto it
(Figure 3). Then, the cross marks can be automatically
transferred into each other.
For Rodenstock, it was important that the optometrist maintain the
ability to adjust the positioning, although the image processing
software could do it. After the optometrist approves the
positioning, the 3D coordinates of the corresponding cross
marks are computed, taking the calibration into consideration.
The computation delivers all the parameters needed to manufacture
the frames, including monocular pupil and corneal vertex distance,
pantoscopic tilt, face-form angle, fitting point height,
decentration (of the fitting point), boxed data (lens width
and height), distance between lenses, frame shape and optimized
lens diameter. The results are documented in a hard copy that
includes illustrating figures and that is optimized to allow
grinding of the lenses.
Rodenstock's tests of the system by Rodenstock have found that
the measurements are accurate and repeatable, depending on the
customer's ability to repeat a position. The reproducibility
using the system was 1.5 times higher than when using a free
distal view.
The system is currently available only for Rodenstock consultant
optometrists.
|
|

Fig. 1: In a calibrated system, the geometric relationship
of the coordinate systems of the center camera and the side
camera are determined by triangulation. The translation
vector b (base) between both cameras and the Rodriguez
vector (angle relationship between the booth cameras),
for the corresponding coordinates of the images Ps(rs, cs),
can define the three-dimensional world coordinates of
any point P(X,Y,Z). |
|

Fig. 2. The pupils can be found by the image processing
software, which uses the three reflections of the illumination
around the pupil. After the pupils are found, the position
crosses are set by the software. |
|

Fig. 3. The coordinates from the camera that takes the
front image are translated and projected onto the image
taken by the other camera.The optometrist can then finalize
the position of the pupil center cross mark and the cross
marks at the glasses.
| |
|