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authorThomas Voss <mail@thomasvoss.com> 2024-11-27 20:54:24 +0100
committerThomas Voss <mail@thomasvoss.com> 2024-11-27 20:54:24 +0100
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+
+Network Working Group A. Katz
+Request for Comments: 798 ISI
+ September 1981
+
+
+ DECODING FACSIMILE DATA FROM THE RAPICOM 450
+
+I. Introduction
+
+ This note describes the implementation of a program to decode
+ facsimile data from the Rapicom 450 facsimile (fax) machine into an
+ ordinary bitmap. This bitmap can then be displayed on other devices
+ or edited and then encoded back into the Rapicom 450 format. In
+ order to do this, it was necessary to understand the how the
+ encoding/decoding process works within the fax machine and to
+ duplicate that process in a program. This algorithm is descibed in
+ an article by Weber [1] as well as in a memo by Mills [2], however,
+ more information than is presented in these papers is necessary to
+ successfully decode the data.
+
+ The program was written in L10 as a subsystem of NLS running on
+ TOPS20. The fax machine is interfaced to TOPS20 as a terminal
+ through a microprocessor-based interface called FAXIE.
+
+ Grateful acknowledgment is made to Steve Treadwell of University
+ College, London and Jon Postel of Information Sciences Institute for
+ their assistance.
+
+II. Interface to TOPS20
+
+ The fax machine is connected to a microprocessor-based unit called
+ FAXIE, designed and built by Steve Casner and Bob Parker. More
+ detailed information can be found in reference [3]. FAXIE is
+ connected to TOPS20 over a terminal line, and a program was written
+ to read data over this line and store it in a file. The decoding
+ program reads the fax data from this file.
+
+ The data comes from the fax machine serially. FAXIE reads this data
+ into an 8-bit shift register and sends the 8-bit byte (octet) over
+ the terminal line. Since the fax machine assigns MARK to logical 0's
+ and SPACE to logical 1's (which is backward from RS232), FAXIE
+ complements each bit in the octet. The data is sent to TOPS20 in
+ octets, the most significant bit first. If you read each octet from
+ most significant bit to least significant bit in the order FAXIE
+ sends the data to TOPS20, you would be reading the data in the same
+ order in comes into FAXIE from the fax machine.
+
+ The standard for storing Rapicom 450 Facsimile Data is described in
+ RFC 769 [4]. According to this standard, each octet coming from
+ FAXIE must be complemented and inverted (i.e. invert the order of the
+ bits in the octet). Thus, the receiving program did this before
+
+
+
+Alan R. Katz [page 1]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+II. Interface to TOPS20
+
+
+
+ storing the data in a file. When the decoding program reads this
+ file, it must invert and complement each octet before reading the
+ data.
+
+ Each data block from the fax machine is 585 bits long. The end of
+ this data is padded with 7 0's to make 592 bits or 74 octets.
+ According to RFC 769, this data is stored in a file preceded by a
+ length octet and a command octet. The possible commands are:
+
+ 56 (70 octal)--This is a Set-Up block (the first block of the
+ file, contains information about the fax image)
+
+ 57 (71 octal)--This is a data block (the rest of the blocks in the
+ file except for the last one)
+
+ 58 (72 octal)--End command (the last block of the file)
+
+ The length field tells how many octets in this block and is always 76
+ (114 octal) except for the END command which can be 2 (no data). The
+ length and command octets are NOT inverted and complemented.
+
+ Below is a diagram of each block in the file:
+
+ +--------+--------+--------+--------+--------+--------+--------
+ | length | command| data | data | ... | |
+ +--------+--------+--------+--------+--------+--------+--------
+
+III. The Rapicom 450 Encoding Algorithm
+
+ An ordinary 8 1/2" by 11" document is made up of about 2100 scan
+ lines, each line has 1726 pels (picture elements) in it. Each pel
+ can be either black (1) or white (0).
+
+ The Rapicom 450 has three picture quality modes. In fine detail
+ mode, all of the document is encoded. In quality mode only every
+ other scan line is encoded and it is intended that these missing
+ lines are filled in on playback by replicating the previous line.
+ There is also express mode, where only every third line is encoded.
+
+
+
+
+
+
+
+
+
+
+
+[page 2] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ III. The Rapicom 450 Encoding Algorithm
+
+
+
+ Data is encoded two lines at a time, using a special two dimensional
+ run-length encoding scheme. There are 1726 pels on top and 1726 pels
+ on the bottom. Each pair (top-bottom) of pels is called a column.
+ For each of the 1726 columns you can have any one of four
+ configurations (called states):
+
+ column
+ (top-bottom) pels state
+ ------------ ---- ------
+ W-W 0,0 0
+ W-B 0,1 1
+ B-W 1,0 2
+ B-B 1,1 3
+
+ The encoding algorithm can be described in terms of a
+ non-deterministic finite-state automaton shown in Fig. 1 (after Mills
+ [2]). You start out in a state (0-3) and transform to another state
+ by emitting the appropriate bits marked along the arcs of the
+ diagram. For example, suppose you are in state 1 (WB). To go to
+ state 2 (BW), you would output the bits 101 (binary); to go to state
+ 0 (WW) you would output the bits 1000. Note that the number of bits
+ on each transition is variable.
+
+ In states 0 (WW) and 3 (BB), a special run length encoding scheme is
+ used. There are two state variables associated with each of these
+ states. One variable is a run-length counter and the other is the
+ field length (in bits) of this counter. Upon entry to either of
+ these two states, the counter is initialized to zero and is
+ incremented for every additional column of the same state. At the
+ end of the run, this counter is transmitted, extending with high
+ order zeros if necessary. If the count fills up the field, it is
+ transmitted, the field length is incremented by one, and the count
+ starts again. This count is called the run length word and it is
+ between 2 and 7 bits long.
+
+ For example, suppose we are in state 0 (WW) and the run length for
+ this state (refered to as the white run length) is 3. Suppose there
+ are three 0's in a row. The first 0 was encoded when we came to this
+ state, there are two more 0's that must be encoded. Thus we would
+ send a 010 (binary). Similarly, if there are seven 0's in a row, we
+ would send a 110, but eight 0's would be sent by 111 followed by 0000
+ and the white run length becomes 4. (Ten 0's would be encoded as 111
+ followed by 0010 and the white run length would be 4).
+
+
+
+
+
+
+Alan R. Katz [page 3]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+III. The Rapicom 450 Encoding Algorithm
+
+
+
+
+ 0100
+ ------------------------>-----------------------------------
+ | |
+ | -------------------<------------------------------- |
+ | | 1 | |
+ | V | |
+ ---------------- ----------------- | |
+ | | | | | |
+ | | 010 | | | |
+ |->| 2 |---------------------->| 1 |->| | |
+ | | | | | | | |
+ 0| | B-W | 101 | W-B | |1 | |
+ |<-| |<----------------------| |<-| | |
+ | | | | | |
+ | | ----->| | | |
+ ---------------- | ----------------- | |
+ | ^ | | | ^ | |
+ | | ------------>------| | | | | |
+ | | | 1 | | | | |
+ | | | | | | ^ V
+ | | | | | | | |
+ 0111| |1 | | 1000| |1 | |
+ | | | | | | | |
+ | | | | | | | |
+ | | | | | | | |
+ | | | 1011 | | | | |
+ | | | ----------<----------- | | | |
+ V | | | V | | |
+ ---------------- | ----------------- | |
+ | |<--- | | | |
+ | | 0 | | | |
+ | 3 |<----------------------| 0 |------ |
+ | | | | |
+ | B-B | | W-W | |
+ | |---------------------->| |<---------
+ | | 0 | |
+ | | | |
+ ---------------- -----------------
+ | ^ | ^
+ | | | |
+ ------ ------
+ run run
+ Figure 1.
+ Non-deterministic finite-state machine diagram for RAPICOM 450
+
+
+
+
+[page 4] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ III. The Rapicom 450 Encoding Algorithm
+
+
+
+ Run length word lengths must be between 2 and 7. The field length is
+ decremented if the run is encoded in one word and:
+
+ 1. If the run length is 3 and the highest order bit is 0.
+
+ 2. Or, if the run length is 4, 5, 6, or 7 and the highest order 2
+ bits are 0.
+
+ In addition to all this, there is a special rule to follow if the run
+ occupies at least two run words (and can involve incrementing the run
+ word size) and the run ends exactly at the end of a scan line. In
+ this case, the last word of the run is tested for decrement as if the
+ previous words in the run did not exist.
+
+ An Example:
+
+ To confirm the reader's understanding of the encoding procedure,
+ suppose we had the following portion of a document (1=black,
+ 0=white):
+
+ top row: 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 ...
+ bottom row: 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 ...
+ ----------- -------------------------------
+ state: 1 3 3 3 3 2 0 0 0 0 0 2 2 1 0 0 ...
+
+ Suppose also that the black run field length is 2, the white run
+ length is 3, and the state is 1. (This example comes from
+ reference [1].)
+
+ This portion would be encoded as:
+
+ 1 1011 11 000 1 0100 100 1 0 010 1000 ...
+
+ NOTE: It turns out that the Rapicom 450 sends the bits of a field
+ in reverse order. This will be discussed in the section V.
+ However, since each run length field is sent reversed, the above
+ encoded bit pattern would actually be sent as:
+
+ 1 1011 11 000 1 0100 001 1 0 010 1000 ...
+ ^
+ |-this is actually 100 reversed
+
+
+
+
+
+
+
+
+Alan R. Katz [page 5]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+III. The Rapicom 450 Encoding Algorithm
+
+
+
+ Another Example:
+
+ This example illustrates the rule for decrementing the run length
+ word lengths:
+
+ top row: 0 1 1 0 0 1 1 1 1 1 0 0 ...
+ bottom row: 1 1 1 1 1 0 1 1 1 1 1 0 ...
+ ----------- -----------------------
+ state: 1 3 3 1 1 2 3 3 3 3 1 0 ...
+
+ Here, let us suppose that the black run field length is now 4, the
+ white is still 3, and the state is 1.
+
+ This portion would be encoded as:
+
+ 1 1011 0001 1 1 101 0111 011 1 1000 ...
+ ^ ^
+ |-goes to 3 |-blk cnt goes to 2
+
+ When we reverse the order of the run fields, the bit pattern that
+ is actually sent is:
+
+ 1 1011 1000 1 1 101 0111 110 1 1000 ...
+ ^
+ |-this is actually 0001 reversed, etc.
+
+IV. The Setup Block and the Data Header
+
+ Each data block from the fax machine is 585 bits long. The number of
+ blocks in a picture is variable and depends on the size and
+ characteristics of the picture. It should be emphasized that a block
+ can end in the middle of a scan line of the document. There can in
+ fact be many scan lines in a block.
+
+ The 585 bit data block is composed of a 24 bit sync code which is
+ used to recognize the beginning of a block, a 37 bit header, 512 bits
+ of actual data, and a 12 bit CRC checksum:
+
+ ------------------------------------------------------------------
+ | 24-bit | 37-bit | 512-bit | 12-bit |
+ |sync code | header | data | checksum |
+ ------------------------------------------------------------------
+
+ The number of useful data bits is variable and can be between 0 and
+ 512 (although there are always 512 bits there, some of them are to be
+ ignored). The number of data bits to be used is given in the header.
+
+
+
+[page 6] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ IV. The Setup Block and the Data Header
+
+
+
+ The 37 bits of header is composed of:
+
+ ------------------------------------------------------------------
+ | 2-bit |5-bit| 10-bit | 12-bit | 3-bit | 3-bit |2-bit|
+ |seq num|flags|data count| x position|black size|white size|state|
+ ------------------------------------------------------------------
+
+ An explanation of these fields follows:
+
+ IMPORTANT NOTE: Most (but not all) of these fields are sent by
+ the fax machine in REVERSE ORDER. The order of each n-bit field
+ must be inverted.
+
+ Sync code
+
+ This is used to synchronize on each block. The value of this
+ 24 bit field is 30474730 octal (not reversed).
+
+ Sequence number
+
+ This number cycles through 0, 1, 2, 3 for the data blocks. It
+ is 0 for the Set-Up block (not reversed).
+
+ Flags
+
+ Each of these flags are 1 bit wide:
+
+ Run
+
+ Purpose unknown, it always seems to be 1.
+
+ Cofb
+
+ Purpose unknown, it always seems to be 0.
+
+ Rpt
+
+ 1 for Set-Up blocks (which are repeated when coming from
+ the fax machine though only one of them is transfered by
+ FAXIE to TOPS20 and stored in the file) and 0 for data
+ blocks.
+
+ Spare
+
+ Purpose unknown, doesn't matter.
+
+
+
+
+Alan R. Katz [page 7]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+IV. The Setup Block and the Data Header
+
+
+
+ Sub
+
+ 1 if this is a Set-Up block.
+
+ Data Count
+
+ Number of useful bits to use out of the 512 data bits. NOT ALL
+ of the 512 data bits are used, only this number of them. This
+ number can be 0 (usually in one of the first data blocks) which
+ means to throw away this block. (This field is reversed!)
+
+ X Position
+
+ Current position on the scan line, a value between 0 and 1725.
+ If this number is greater than where the previous block left
+ off, the intervening space should be filled with white (0's).
+ If this number is less than where the previous block left off,
+ set the X position to this value and replace the overlapped
+ data with the new data from this block. If this number is
+ greater than 1726, ignore this field and continue from where
+ the previous block left off. (This field is reversed!)
+
+ Black Size
+
+ The size of the black run length field, must be between 2 and
+ 7. This is the correct value for the black size. It may
+ differ from what was found at the end of the previous block.
+ (This field is reversed!)
+
+ White Size
+
+ The size of the white run length field, must be between 2 and
+ 7. It may differ from what was found at the end of the
+ previous block. (This field is reversed!)
+
+ State
+
+ The current state. This is the correct state. It may differ
+ from the state at the end of the previous block. (This field is
+ not reversed.)
+
+ Data
+
+ 512 bits of the actual encoding of the document. NOT ALL of
+ this data is used in general, only the amount specified by the
+
+
+
+
+[page 8] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ IV. The Setup Block and the Data Header
+
+
+
+ data count. If this is a set up block, the data contains
+ information about the type of document (see below).
+
+ Checksum
+
+ CRC checksum on the entire block. Uses polynomial
+ x**12+x**8+x**7+x**5+x**3+1.
+
+ In a setup block, the data portion of the data block consists of:
+
+ -----------------------------------------------------------
+ | 6-bit | 5-bit | 1-bit | 20-bits | 480-bits
+ | flags | spare |multi page| of zeros | 1's and 0's
+ -----------------------------------------------------------
+
+ Specifically these are:
+
+ 6 flags (each are 1 bit):
+
+ Start bit
+
+ Always 0.
+
+ Speed
+
+ Is 1 if express mode.
+
+ Detail
+
+ Is 1 if detail mode. (NOTE: If the Detail and Speed flags
+ are both 0, then data is in Quality mode).
+
+ 14 inch paper
+
+ is 1 if 14 inch paper length.
+
+ 5.5 inch paper
+
+ is 1 if 5.5 inch paper length. (NOTE: If the 14 inch and 5
+ inch flags are both 0, then paper length is 11 inch).
+
+ paper present
+
+ is 1 if paper is present at scanner (should be always 1).
+
+
+
+
+
+Alan R. Katz [page 9]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+IV. The Setup Block and the Data Header
+
+
+
+ Spare:
+
+ These 5 bits can be any value.
+
+ Multi-page:
+
+ 1 if multi page mode
+
+ Rest of data of set-up block:
+
+ The above fields are followed by twenty 0 bits and the rest of
+ the 512 bits of the block are alternating 0's and 1's.
+
+ There are a number of important points to be remembered in regard to
+ the header of a data block. First of all, the data count, the
+ x-position, and the black and white run sizes must be read IN REVERSE
+ ORDER. The reason for this is that the fax machine sends these bits
+ in reverse order. However, the sequence number and the state fields
+ ARE NOT REVERSED. In addition to this, each run field in the data IS
+ REVERSED. This reversing of the bits in each n-bit field is
+ completely separate from the reversing and complementing of each
+ octet mentioned earlier.
+
+ Second, only the first n bits, where n is the value of the data count
+ field (remember its reversed!), of the data is valid, the rest is to
+ be ignored. If n is zero, the whole block is to be ignored.
+
+ Third, if the x position is beyond where the last block ended, fill
+ the space between where the last block ended and the current x
+ postion with white (0's). If the x postition is less then where the
+ last block ended, replace the overlapped data with the data in the
+ new block. If the x postition is greater than 1726, ignore it and
+ continue from where the previous block left off.
+
+ Fourth, the black size, white size (reversed), and state (not
+ reversed!) given in the header are the correct values even if they
+ disagree with the end of the previous block.
+
+ Finally, the sequence number (not reversed) should count through
+ 0,1,2,3. If it does not, a block is missing.
+
+
+
+
+
+
+
+
+
+[page 10] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ V. The Decoding Algorithm
+
+
+
+V. The Decoding Algorithm
+
+ Upon first glance at the finite state diagram in Figure 1, it may
+ seem that it would be difficult to create a decoding procedure. For
+ example, if you are in the WW state, and the next bit is a 1, how do
+ you know whether to do a transition to WB or BW? The answer to this
+ is to recognize that every arc out of the BW state begins with 0 and
+ every arc out of WB begins with 1. Thus, if you are in the WW state,
+ and the next bit is 1, followed by a 0, you know to go to the BW
+ state. If the next bit is 1, followed by a 1, you know to go to the
+ WB state.
+
+ In writing the decoding program it was necessary to have two ways of
+ reading the next bit in the data stream. The first way reads the bit
+ and "consumes" it, i.e. increments the bit pointer to point at the
+ next bit. The other way does not "consume" it. Below are four
+ statements which show how to decode fax data. The numbers in
+ parentheses are not to be consumed, that is to say they will be read
+ again in making the next transition.
+
+ If I am in state BW (2) and the next bits are:
+ 0 (0): go to BW
+ 0111: go to BB
+ 010 (1): go to WB
+ 0100: go to WW
+
+ If I am in state WB (1) and the next bits are:
+ 1 (1): go to WB
+ 1000: go to WW
+ 101 (0): go to BW
+ 1011: go to BB
+
+ If I am in state WW (0), then first go through the run length
+ algorithm, then if the next bits are:
+ 0: go to BB
+ 1 (0): go to BW
+ 1 (1): go to WB
+
+ If I am in state BB (3), then first go through the run length
+ algorithm, then if the next bits are:
+ 0: go to WW
+ 1 (0): go to BW
+ 1 (1): go to WB
+
+ For the run length algorithm, remember, look at the next n bits,
+ where n is the length of either the black or white run length
+
+
+
+Alan R. Katz [page 11]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+V. The Decoding Algorithm
+
+
+
+ word, REVERSE the bits, and output that many BB's or WW's
+ (depending on whether black or white run). If the field is full,
+ increment the size of the word, and get that many bits more, i.e.
+ get the next n+1 bits, etc. Also, the run length word length can
+ be decremented according to the rules given in section III.
+
+ You always go through the run length even if there is only one WW
+ or BB, in this case, the run field will be 0.
+
+ Let us look at the first example given in section III. Suppose we
+ want to decode the bits: 110111100010100100100101000... (we have
+ already reversed the run lengths to make things easier).
+
+ We are in state 1 (WB) and the black run length word length is 2
+ and the white length is 3. We get these initial values either
+ from the block header, or by remembering them from the previous
+ transitions if this is not the start of the block. According to
+ our rules, we would parse this string as follows:
+
+ 1(1) 1011 11 000 1(0) 0100 100 1(0) 0(0) 010(1) 1000...
+
+ The numbers in parentheses are numbers that were read but not
+ "consumed", thus the next number in the sequence is the same as
+ the one in parentheses. First, we see a 1 and that the next bit
+ is a 1, this means that we go to WB. Then we have a 1011 which
+ means to go to BB. Then we do a run, we have a 11 followed by a
+ 000 which means the black run length gets incremented by 1 (it is
+ now 3) and we get 3 MORE BB's. Now we have a 1 followed by 0
+ which means go to BW. Next a 0100 which is WW. Then we have a
+ run, 100, which means four more WW's. We keep going like this and
+ we get the original bit pattern given in the first example of
+ section III.
+
+ It is important to always start fresh when dealing with each
+ block. There are many reasons for this. The first is that
+ sometimes blocks are dropped, and you can recover from this if you
+ resynchronize at the start of each block. Also, if at the end of
+ the previous block, there is about to be a transition, instead of
+ making it at the beginning of the next block, the fax machine
+ gives the new state in the header of the next block and goes from
+ there. Thus it is important to always start at whatever state is
+ given in the header, and to align yourself at the current X
+ position given there also.
+
+ Sometimes, while decoding a block, a bit pattern will occur which
+
+
+
+
+[page 12] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ V. The Decoding Algorithm
+
+
+
+ does not correspond to any transition. If this happens, the rest
+ of the block may be bad and should be discarded.
+
+ The decoding program decodes the fax data block by block until it
+ comes to an END command in the data, or runs out of data.
+
+VI. Program Performance
+
+ The L10 NLS program takes about two CPU minutes to run on TOPS20 on a
+ DEC KL10 to decode the average document in fine detail mode. In this
+ mode, the picture is about 1726 by 2100 pels, and takes about 204
+ disk pages to store.
+
+ We have a program which displays bit maps on an HP graphics terminal
+ and have been able to display portions of documents. (not all of an
+ 8.5" by 11" document will fit in the display). We can use the
+ terminal's zoom capability to look at very small portions of the
+ document.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Alan R. Katz [page 13]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+References
+
+
+
+References
+
+ [1] Weber, D. R., "An Adaptive Run Length Encoding Algorithm",
+ International Conference on Communications, ICC-75, IEEE, San
+ Francisco, California, June 1975.
+
+ [2] Mills, D. L., "Rapicom 450 Facsimile Data Decoding",
+ WP2097/MD33E, COMSAT Laboratories, Washington D.C., undated.
+
+ [3] Casner, S. L., "Faxie", ISI Internal Memo, USC/Information
+ Sciences Institute, February 1980.
+
+ [4] Postel, Jon, "Rapicom 450 Facsimile File Format", RFC 769,
+ USC/Information Sciences Institute, September 1980.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[page 14] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ Appendix
+
+
+
+Appendix
+
+ In this appendix is given the first portion of the data which comes
+ from the fax machine, this same data in RFC 769 format, and some of
+ this data decoded into a bitmap. The data is represented in octal
+ octets.
+
+ The following is data of the form which comes out of the fax machine
+ with length and command octets added:
+
+ 114 70 142 171 330 13 377 377 377 371 53 200 0 5 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 121 21 261 114 71 142 171
+ 330 40 0 102 326 270 152 42 42 44 111 0 42 151 267 122
+ 366 110 237 102 211 365 111 171 336 51 244 247 377 377 111 362
+ 177 377 377 377 377 377 377 377 377 376 104 213 241 41 111 377
+ 111 337 377 377 377 377 377 377 377 377 377 377 377 163 301 361
+ 377 377 377 377 360 177 12 0 114 71 142 171 330 141 137 177
+ 377 344 10 0 160 23 301 160 137 376 204 352 135 27 353 264
+ 0 70 100 7 20 75 0 0 0 0 0 344 0 0 0 0
+ 0 0 0 0 34 275 0 0 0 0 0 0 0 0 0 0
+ 0 0 0 0 7 41 310 34 200 0 0 344 0 0 0 71
+ 13 331 204 0 114 71 142 171 330 241 137 26 302 160 0 16
+ 100 71 0 370 270 271 0 162 0 71 174 134 100 162 0 34
+ 234 200 344 7 156 100 1 310 16 107 43 323 263 220 365 313
+ 327 57 377 325 331 36 56 47 325 324 344 3 227 40 71 35
+ 200 1 310 1 313 220 0 0 7 241 330 0 0 137 342 200
+ 114 71 142 171 330 340 77 40 142 160 0 0 0 0 162 71
+ 73 162 376 276 234 277 376 67 265 301 16 20 171 1 311 313
+ 346 377 321 75 256 113 245 377 262 160 136 247 13 251 350 374
+ 270 236 235 217 136 203 220 75 166 166 364 177 305 366 72 107
+ 63 330 352 345 313 320 71 34 270 46 57 0
+
+ The following is the same data after put into RFC 769 format (with
+ each data octet reversed and complemented):
+
+ 114 70 271 141 344 57 0 0 0 140 53 376 377 137 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125 125
+ 125 125 125 125 125 125 125 125 125 165 167 162 114 71 271 141
+ 344 373 377 275 224 342 251 273 273 333 155 377 273 151 22 265
+ 220 355 6 275 156 120 155 141 204 153 332 32 0 0 155 260
+ 1 0 0 0 0 0 0 0 0 200 335 56 172 173 155 0
+
+
+
+Alan R. Katz [page 15]
+
+
+
+DECODING FACSIMILE DATA RFC 798
+Appendix
+
+
+
+ 155 4 0 0 0 0 0 0 0 0 0 0 0 61 174 160
+ 0 0 0 0 360 1 257 377 114 71 271 141 344 171 5 1
+ 0 330 357 377 361 67 174 361 5 200 336 250 105 27 50 322
+ 377 343 375 37 367 103 377 377 377 377 377 330 377 377 377 377
+ 377 377 377 377 307 102 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 37 173 354 307 376 377 377 330 377 377 377 143
+ 57 144 336 377 114 71 271 141 344 172 5 227 274 361 377 217
+ 375 143 377 340 342 142 377 261 377 143 301 305 375 261 377 307
+ 306 376 330 37 211 375 177 354 217 35 73 64 62 366 120 54
+ 24 13 0 124 144 207 213 33 124 324 330 77 26 373 143 107
+ 376 177 354 177 54 366 377 377 37 172 344 377 377 5 270 376
+ 114 71 271 141 344 370 3 373 271 361 377 377 377 377 261 143
+ 43 261 200 202 306 2 200 23 122 174 217 367 141 177 154 54
+ 230 0 164 103 212 55 132 0 262 361 205 32 57 152 350 300
+ 342 206 106 16 205 76 366 103 221 221 320 1 134 220 243 35
+ 63 344 250 130 54 364 143 307 342 233 13 377
+
+ The following is the first part of the expanded bitmap of this data
+ (there are about 4 scan lines here, or 2 pairs of scan lines):
+
+ 177 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 367 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 337 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377 377
+ 377 377 377 377 377 377 377 374 0 4 327 377 377 377 377 377
+ 374 377 356 377 177 0 10 0 201 200 0 0 0 0 100 0
+ 0 0 0 0 0 0 1 140 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 204 10 0 0 10 0 0 0 100 0
+ 20 10 7 250 2 0 57 100 100 2 100 100 164 0 20 21
+ 31 310 153 137 377 377 377 377 177 32 176 344 2 200 216 0
+ 4 0 240 0 0 14 70 0 0 0 0 0 2 47 137 336
+ 137 377 377 377 377 375 377 372 20 140 45 376 377 377 377 237
+ 377 276 357 377 377 377 227 345 314 175 63 215 202 6 347 143
+ 377 337 376 70 371 370 352 300 213 373 371 377 377 343 73 334
+ 0 207 315 3 33 111 377 167 337 377 1 323 365 177 377 177
+ 377 374 377 135 377 377 365 67 343 55 377 377 377 377 357 377
+ 377 377 377 377 377 377 203 377 236 175 376 236 337 273 347 377
+
+
+
+[page 16] Alan R. Katz
+
+
+
+RFC 798 DECODING FACSIMILE DATA
+ Appendix
+
+
+
+ 376 77 377 377 377 377 377 377 377 377 377 377 300 0 0 0
+ 200 102 177 377 277 377 377 377 376 377 366 365 173 302 12 0
+ 40 200 0 0 0 4 100 0 0 0 0 0 0 2 5 354
+ 0 0 0 0 0 0 0 0 4 0 10 0 0 0 200 10
+ 40 20 1 0 100 0 140 0 20 210 101 374 3 200 155 304
+ 0 6 100 103 376 0 120 121 31 332 243 177 377 377 377 377
+ 377 233 377 354 0 241 217 1 30 0 240 0 0 12 150 202
+ 40 0 0 0 62 47 157 376 173 373 377 377 377 377 377 377
+ 20 141 321 376 377 377 377 327 377 376 377 377 377 377 237 216
+ 316 375 167 215 202 6 300 143 377 237 374 70 175 330 377 304
+ 255 373 153 377 377 353 377 104 0 267 315 203 13 311 177 377
+ 377 377 1 223 367 377 373 167 377 376 77 137 377 345 165 67
+ 43 51 277 377 277 377 357 377 377 377 373 177 377 377 223 377
+ 366 175 376 234 377 271 347 377 376 157 377 377 377 377 377 377
+ 377 377 377 377 340 0 0 0 0 0 177 377 37 377 377 377
+ 377 376 367 357 272 300 2 0 4 0 0 0 0 0 0 0
+ 0 0 0 0 20 0 1 144 0 0 0 0 0 0 4 4
+ 0 0 100 2 100 10 201 10 0 20 75 0 0 40 142 0
+ 0 74 341 234 103 4 157 300 0 2 0 141 372 0 0 20
+ 30 376 55 277 177 377 377 367 377 371 376 100 15 61 16 200
+ 30 0 40 0 0 0 311 200 24 0 0 0 62 55 377 316
+ 367 347 377 357 377 377 377 377 170 305 5 276 377 377 377 357
+ 377 377 377 377 377 177 377 377 357 177 377 76 207 246 340 147
+ 376 336 356 10 17 320 105 235 275 377 377 373 377 347 335 317
+ 50 77 377 353 75 333 377 377 377 377 363 337 343 277 356 171
+ 7 357 76 216 377 211 207 176 257 217 377 377 367 357 357 277
+ 377 357 377 377 377 375 367 377 377 377 377 375 377 377 356 377
+ 366 377 377 377 377 377 377 377 377 377 377 377 340 0 0 0
+ 0 44 373 377 77 377 377 177 177 377 377 337 376 170 173 0
+ 0 0 100 0 1 10 0 0 0 0 0 200 160 0 223 160
+ 300 0 0 0 0 0 0 6 100 220 0 0 140 4 3 30
+ 121 20 351 300 206 74 167 0 30 64 41 234 172 30 175 300
+ 4 32 4 345 367 200 103 60 177 372 177 233 377 377 377 377
+ 376 125 207 210 233 21 364 361 277 1 50 16 140 120 41 335
+ 377 306 214 10 67 377 373 377 377 377 377 377 377 367 377 377
+ 377 363 277 377 377 377 377 377 267 177 377 377 377 377 377 237
+ 377 377 377 77 377 377 355 373
+
+
+
+
+
+
+
+
+
+
+
+
+Alan R. Katz [page 17]
+