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- From: esz001@cck.coventry.ac.uk (Will Overington)
- Newsgroups: sci.virtual-worlds
- Subject: TECH: VOXELS The EUTO system, Unit 1
- Message-ID: <1992Jul29.065727.26741@u.washington.edu>
- Date: 27 Jul 92 16:14:35 GMT
- Sender: news@u.washington.edu (USENET News System)
- Organization: Coventry University, Coventry, UK
- Lines: 193
- Approved: cyberoid@milton.u.washington.edu
- Originator: hlab@milton.u.washington.edu
-
-
-
- This is an item that I have sent out in alt.uu.future and
- alt.education.distance.
-
- Anyone willing to participate in establishing a course on
- virtual-worlds in the new, fledgling, Usenet University is
- invited to post to alt.uu.future, hopefully crossposting to
- alt.education.distance as alt.uu. groups are not yet fully
- established at some sites.
-
- MATERIAL Virtual-worlds: The EUTO system, Unit 1
-
- 27th July 1992
-
- This learning material, newly written, contains the ideas of the
- author. It may or may not become a consensus, standard, view.
- Study it, if you will please, in a spirit of research enquiry,
- not as a statement of the agreed state of the art.
-
- This unit introduces a method for expressing three dimensional
- pictures in terms of voxels, that is volumetric pixels. Each
- voxel is regarded as being a cube of one opaque colour or as
- being both colourless and transparent. There is no provision at
- present for voxels that are both coloured and transparent, for
- example coloured glass, due to display problems at the present
- state of the art, yet the possibility of such a feature in the
- future should be kept in mind. This method is called the EUTO
- system.
-
- The name EUTO comes from the word eutopia, an ideal place or
- society, as my design stems from a desire to be able to express
- ideas for an ideal society, including buildings, works of art,
- computers to log onto and so on, in a computerized format that
- can be both used and also published for others to use.
-
- When reading a page of a book written in English, one starts at
- the top left corner and moves along a line of text horizontally
- to the right, then, at the end of that line, one goes back to the
- start of the next line, one line depth beneath the original start
- point. One then proceeds along that line of text horizontally to
- the right, and so on. This order of scanning is also used in
- television pictures.
-
- In the EUTO system, the scanning, in three dimensions, is to
- start at (x, y, z) = (0, 0, 0) and then to scan upwards in z for
- as far as desired; then increase y by 1 and put z back to 0,
- which is moving to a position that is at base level, one vertical
- column to the right of the previous column. The end of the
- column is signaled using a z character. This process is then
- repeated until as many vertical columns as are desired have been
- described. Thus a sheet of voxels one voxel in thickness and as
- large as desired can be described. The next sheet, with x
- increased by 1, regarded as a sheet in front of the previous
- sheet, can be started by signaling that the existing sheet is now
- complete, by using a y character. This process can be repeated
- until the desired volume is fully described. An ! character
- signals the end of the description of the picture.
-
- The presence of a voxel is given by a lowercase letter, namely an
- a character for colour number 1, a b character for colour number
- 2 and on on up to an o character for colour 15. A p character is
- used for colour number 0, the background colour and a t character
- is used for transparent. The characters are free format and a
- RETURN character may be introduced wherever desired, typically
- after about each 70 characters. In addition, a colour code,
- (including the t code for transparent), may be preceded by an
- integer, thereby making a saving on the number of characters
- needed whenever vertical strips of the same colour, or
- transparent, are encountered.
-
- For example, 25t15az means 25 voxels that are transparent,
- followed by 15 voxels that are of colour a (that is, colour 1)
- and then move to y:= y + 1; z:=0; and await the next code
- character. Transparent voxels immediately before a z code may be
- omited, if so desired. Thus 25t15a45tz may be expressed as
- 25t15az for example.
-
- Here is a small example picture, shown as a series of sheets and
- also as it may be encoded using the EUTO system. Please note
- that this is a small picture, provided as a teaching example.
- Please think in terms of a picture that you might reasonably be
- using as being maybe 200 voxels tall, and 400 voxels in the x and
- y axes. The EUTO system sets no limits on size.
-
- This example picture is 7 voxels tall, by 5 voxels in the y
- direction by 5 voxels in the x direction. This is perhaps
- somewhat untypical as many pictures will be wider than they are
- high, but the EUTO system is suitable for all of them.
-
- Remember, the x = 0 sheet is at the rear of the picture and the
- x = 4 sheet is at the front of the picture.
-
- x = 0 ttatt
- ^ ttatt
- z| ttatt
- | ttatt
- ttatt
- ttttt
- z = 0 ttttt
-
-
- y = 0 ->
- y
-
-
-
-
- x = 1 ttttt
- ^ ttttt
- z| ttttt
- | ttttt
- ttatt
- ttttt
- z = 0 ttttt
-
-
- y = 0 ->
- y
-
-
-
-
- x = 2 ttttt
- ^ ttttt
- z| btttb
- | btttb
- btatb
- btttb
- z = 0 bbbbb
-
-
- y = 0 ->
- y
-
-
-
-
- x = 3 ttttt
- ^ ttttt
- z| ttttt
- | ttttt
- ttatt
- ttttt
- z = 0 ttttt
-
-
- y = 0 ->
- y
-
-
-
-
- x = 4 ttatt
- ^ ttatt
- z| ttatt
- | ttatt
- ttatt
- ttttt
- z = 0 ttttt
-
-
- y = 0 ->
- y
-
-
-
-
- The x = 0 sheet is coded as zz2t5azy
-
- The x = 1 sheet is coded as zz2tazy
-
- The x = 2 sheet is coded as 5bzbzbtazbz5bzy
-
- The x = 3 sheet is coded as zz2tazy
-
- The x = 4 sheet is coded as zz2t5azy
-
- The whole picture is thus coded as
-
- zz2t5azyzz2tazy5bzbzbtazbz5bzyzz2tazyzz2t5azy!
-
- Please note the ! character signaling the end of the picture.
-
- You might like to try the exercise of trying to make a EUTO model
- of the room where you are working. It need not be particularly
- detailed, just showing the door, your desk or workbench and the
- window in relative positions to each other. Please observe the
- large number of voxels that are used and the fact that many of
- them are transparent.
-
- You might also like to create a work of art, using the EUTO
- system as the medium for your work.
-