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Posts Tagged ‘logarithmic curve’

3D-360 Camera vs Canon 5D

October 27th, 2009 No comments

The Prototype-4.x family of 3D-360s is based on a camera that we have been developing for over a year.  While several areas of enhancement are still left to be implemented, the new camera is ready to be compared against the Canon 5D.  Prototype-3 used eight Canon 5Ds, and the new camera in Prototype-4 needs to meet or exceed the 5D’s performance.

One significant difference between our camera and the Canon 5D is that the 5D (and all other color cameras) uses tiny color filters arranged in a Bayer pattern on top of the individual pixels inside of the camera.  While the 5D has 12 million pixels, only 3 million are RED, 6 million are GREEN, and 3 million are BLUE.  Our camera is arguably a 15 million pixel sensor because it cycles through three large filters with the 5 million pixel monochrome sensor to produce 5 million RED pixels, 5 million GREEN pixels, and 5 million BLUE pixels. Our camera is immune to color artifacts caused by the Bayer patterns, but taking a picture takes three times longer because the filters must be rotated into place between shots. Fortunately our system automatically changes between filters in less than one second.  In the future we may want to add filters for other parts of the spectrum including infrared (IR) and ultra violet.

The purpose of this test is to compare the color reproduction, noise, and Bayer pattern artifacts between the two cameras. The 5D has a 14mm Canon lens, and the FOV is similar to our custom lens. Here is the test procedure:

1) Take a picture with each camera in RAW mode

2) Use minimal automatic processing on each image.  For the 3D-360 Photoshop was used for color balance and sharpening.  For the Canon 5D the image was processed with DxO

3) Compare the cropped images at actual size and zoomed to 600%

Here are the results:

scan001_face01_cam01_texturecropped-600wide

Above is the shot from the Prototype-4 camera,

And below is the shot from the Canon 5D.

5d-cropped-600wide

The two shots show that our camera compares well to the Canon 5D.  A slight BLUE halo is visible to the left of some objects, but this may be caused by a dirty or warped Wratten filter.

Below is a zoomed comparison of the areas the GREEN circles.

5d-vs-mycam-zoom-66Close inspection shows that the 3D-360 camera has less noise and fewer Bayer pattern artifacts, but the 5D seems a little sharper.  The difference in sharpness could be related to the dynamic range of the two images.  The raw 3D-360 image covers a linear range of 24 bits, but the 5D covers a smaller range of only 12 bits.  We use a combination of linear and logarithmic curves to squeeze the 24 bits per pixel per color channel down to 16 bits per pixel per channel.  To improve contrast we may reduce our range from 24 bits to 22 bits.

I am pleased with this early test, and we are currently implementing upgrades that should make the difference even more dramatic.

Converting 16 bit Images to 8-bit Images

June 21st, 2009 No comments

We spent the last year designing and building a camera and software that can capture images with pixels that are 16-bits deep.  It isn’t easy to view these images since most tools expect 8-bit images, so the following routine is used to squeeze the 65,536 values in the 16-bit image down to the 256 values of an 8-bit image.  There are thousands of ways to compress a 16-bit image, and this approach is specifically for our machine vision/stereoscopic needs.

This approach to compressing pixel intensities is based on the octave relationship, and it is similar to the way a piano’s keys represent a wide range of frequencies. Each “octave” in this case is light intensity that is either twice as bright or half as bright as its neighboring octave.  Each octave of light intensity is broken into 20 steps, and this is similar to the 12 keys (steps) in each octave of a piano keyboard.  Below is a table and chart that illustrate the conversion from 16-bit images to 8-bits. Each red dot in the chart represent an octave, and there are 20 steps inside each octave.  The approach outlined here allows an 8-bit image to evenly cover 12 octaves: almost the full dynamic range of a 16-bit image.

octaves

This curve will probably be modified many times with different numbers of divisions per octave, but the basic approach will stay the same.  Below is an example  of an original 16-bit linear image, and an 8-bit version of the same image after application of the above logarithmic curve.  The pictures are not pretty, but they illustrate how details can be pulled from the shadows.  The 16-bit linear image is on the left, and the curve-adjusted 8-bit image is on the right.

comparisonv2

The image at the right allows you to see the details in the shadows (notice the wires in the upper right) as well as details in the bright areas.   An image editing program could be used to manually adjust brightness and extract details from the 16-bit image, but the curve described here can do a good job automatically.

Next post: Rectification.