TroiaDoc - PixelRoom - LED Numbers

To avoid confusion of the pixels during assembly of TROIA and to achieve some compatibility to the protocol and the existing 2D applications, the following denominations for the pixels are defined.

3D-Arrangement

length x width x height: 104x80x32
ceiling + floor: 104x80=8320
walls 1+3: 104x32=3328
walls 2+4: 80x32=2560
28416 pixels total

3D-LED-Number

format:
- ceiling + floor: [C,F] / [0..103] / [0..79]
- walls: W[1,3] / [0..103] / [0..31] or W[2,4] / [0..79] / [0..31]
3D-LED-Numbers can be recognized by the slashes and by the letter at the first position.
example to define 3 pixels exactly: C/23/5, F/23/42, W2/42/23

2D-Arrangement

width x height: 368x112
The walls 1 to 4 are arranged from left to right next to each other.
The ceiling is divided in the middle and put over wall 1 and 3.
The floor is divided in the middle and put under wall 1 and 3.

+----------------+              +----------------+
I                I              I                I
I     ceiling    I              I     ceiling    I
I   part 1 of 2  I              I   part 2 of 2  I
I                I              I                I
+----------------+--------------+----------------+--------------+
I                I              I                I              I
I     wall 1     I    wall 2    I     wall 3     I    wall 4    I
I                I              I                I              I
+----------------+--------------+----------------+--------------+
I                I              I                I
I     floor      I              I     floor      I
I   part 1 of 2  I              I   part 2 of 2  I
I                I              I                I
+----------------+              +----------------+

In the frames of the BLP, EBLP and MCUF protocols, exactly this 2D description of the 3D TROIA room has to be used. The unused pixels in the 2D description are to be set to greyscale 0 when generating 2D frames and to ignore when converting into another description.

2D-LED-Number

format: [0..367]x[0..111]
A 2D-LED-Number can be recognized by the two numbers, which are devided by a "x".

example: 23x34, 264x109, 146x63

Hardware Arrangement

The pixels are conntected to an output A = [0..31] of a pixel module.
This pixel module is connected to an output P = [0..31] of a distribution module.
This distribution module has got the number D = [0..29].

Hardware-LED-Number

format: V - P - A, [0..29] - [0..31] - [0..31]
The Hardware-LED-Number can be recognized by the two dashes and the three numbers.
example: 0-4-2, 5-2-3

Mapping

The 2 different LED numbers can be converted into each other.
The relationship between 3D and 2D description is already given by the above scheme.
The hardware number is only fixed by the cabling system and thus can only be assigned to the other descriptions by an assignment list.

Mapping Rules

D / X / Y ===> (X) x (39-Y) for X=[0..103] and Y=[0..39] 
D / X / Y ===> (287-X) x (Y-40) for X=[0..103] and Y=[40..79] 
B / X / Y ===> (X) x (Y+72) for X=[0..103] and Y=[0..39] 
B / X / Y ===> (287-X) x (151-Y) for X=[0..103] and Y=[40..79] 
W1 / X / Y ===> (X) x (Y+40) for X=[0..103] and Y=[0..31] 
W2 / X / Y ===> (X+104) x (Y+40) for X=[0..79] and Y=[0..31] 
W3 / X / Y ===> (X+184) x (Y+40) for X=[0..103] and Y=[0..31] 
W4 / X / Y ===> (X+288) x (Y+40) for X=[0..79] and Y=[0..31] 
X x Y ===> W1 / (X) / (Y-40) for X=[0..103] and Y=[40..71] 
X x Y ===> W2 / (X-104) / (Y-40) for X=[104..183] and Y=[40..71] 
X x Y ===> W3 / (X-184) / (Y-40) for X=[184..287] and Y=[40..71] 
X x Y ===> W4 / (X-288) / (Y-40) for X=[288..367] and Y=[40..71] 
X x Y ===> D / (X) / (39-Y) for X=[0..103] and Y=[0..39] 
X x Y ===> D / (287-X) / (Y+40) for X=[184..287] and Y=[0..39] 
X x Y ===> B / (X) / (Y-72) for X=[0..103] and Y=[72..111] 
X x Y ===> B / (287-X) / (151-Y) for X=[184..287] and Y=[72..111]