How to Read a 3 Dimensional Bar Code
2 and three Dimensional Barcodes
Article about 2 and 3 dimensional bar codes and QR codes
© Davidson Plant of Science Education, the educational arm of the Weizmann Institute of Science
UPC-A and EAN-xiii are among the most used barcode systems. UPC-A is the principal barcode system for the United States, while EAN-xiii is dominant in Europe. There is non that much difference betwixt the systems. EAN-13 has a more complicated manner of encoding the first seven digits, and you lot tin read near that in detail here.
2nd barcodes
Many times, we want much more than information to be encoded. Perhaps we desire to encode messages as well as numbers, or the accost of a website. In 1994, the Japanese Denso Wave company designed a two-dimensional barcode for the car industry. Since they did not patent the code and made information technology accessible for public utilise, the 2d encoding, known as QR lawmaking became very popular and dominates the 2-dimensional barcode systems. The basic idea of ii-dimensional barcodes is that instead of using linear bars which encode one bit each, why not use a system that divides a given foursquare into 'dots' or pixels, where each pixel is a bit. That mode, much more than information can be stored. This is exactly what Denso Wave did. Here is the QR lawmaking of "Yossi Elran".
Y'all tin design your own QR lawmaking hither. If yous encode more than information in QR codes, the prototype becomes more complex. Compare the previous QR code with the code for "Dr. Yossi Elran instructs the Futurity Learn course on math puzzles":
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The structure of QR codes is rather complicated and beyond the scope of this course, merely if you lot want to delve into it, here is a adept identify to commencement.
Generally speaking, a QR lawmaking has v definitive regions.
(By Bobmath – This image was derived from QR Code Construction Case 2.svg:, CC BY-SA iii.0, https://commons.wikimedia.org/west/alphabetize.php?curid=25534216)
- Version information. Different versions of QR codes can encode different corporeality of data
- Format information. Information virtually the encoding itself. The black and white dots on the code are not the straight data $.25. The actual information is transformed using what's known equally a mask. The format information tells united states of america the specifications of this mask, every bit well as information most error correction. Format data is critical for correct deciphering of the barcode, and then it is duplicated and placed in at to the lowest degree two divide parts of the barcode.
- Date and mistake correction. Most of the area of the barcode are the 'masked' data bits. At that place is likewise an surface area set aside for mistake correction. This is like to the checksum digits in ane-d barcodes. Error correction bits are slightly more sophisticated as they enable usa to reconstruct the barcode fifty-fifty if some of it is damaged or missing!
- Required patterns. You lot've seen the large squares in the corners. These and some other features are required in all barcodes for correct positioning with respect to the scanner and other reasons.
- Tranquility zone. The outskirts of the barcode should exist distinguishable from its immediate surroundings.
3d barcodes
The immediate question one asks subsequently learning well-nigh 1d and 2d barcodes, is, is there a 3d barcode, so that even more information can be stored?
The answer is yes – and no! There are 3d barcodes, but they are only 3d in the structural sense. They have height likewise equally length and width. However, they were not designed for more data. Rather, they are a style of using the scanning of height for cases when we want to apply barcodes to rough surfaces. A kind of '3d' barcode that is really 2d are color QR codes.
The use of color instead of just blackness and white allows for much more information to exist stored. All the same, a true 3d barcode is sure to be invented in the about time to come, if it hasn't already!
Discussion
Feel free to ask me whatever questions or comment!
© Davidson Institute of Science Pedagogy, the educational arm of the Weizmann Plant of Scientific discipline
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Maths Puzzles: Cryptarithms, Symbologies and Secret Codes
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