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This code implements an improved version of the RAHT-rlgr coder and decoder as described by Queiroz and Chou.

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# RAHT (Region-adaptive Hierarchical Transform)
This code implements an improved version of the RAHT-rlgr coder and decoder as described by Queiroz and Chou [1].

[1] R. L. de Queiroz and P. A. Chou, “Compression of 3d point clouds using a region-adaptive hierarchical transform,” IEEE Transactions on Image Processing, vol. 25, no. 8, pp. 3947–3956, August 2016.

<a href="http://divp.org">Digital Image and Video Processing Group</a><br>
<a href="http://unb.br">University of Brasília</a><br>
<a href="http://cic.unb.br">Department of Computer Science</a><br>
<a href="http://www.ene.unb.br/">Department of Electrical Engineering</a><br>

After compilation, two executables are generated:
  * **RAHT_cod:**    Region Adaptive Hierarchical Transform coder (RAHT-rlgr)
  * **RAHT_dec:**    Region Adaptive Hierarchical Transform decoder (RAHT-rlgr)

Their usage, how to compile the executable and testing is described below

# Usage
### RAHT_cod (Region Adaptive Hierarchical Transform coder)

**Usage**    | **Description**
------------ | -------------
```RAHT_cod()```                 | prints help information
```RAHT_cod(V, C, depth, filename, Qstep)``` | transforms the coefficients and write the coded data to the file given by "filename" with the given quantization step.

**INPUTS**     | **Description**
-------------- | -------------
```V```        | (*Nx3 double matrix*) vertices of each voxel in the order (X, Y, Z). The values should be non negative integers
```C```        | (*Nx3 double matrix*) colors associated to each voxel. This input is transparente to RGB, YUV, YCbCr or any other color space to be used as long as it is a triplet. It is also transparent to the color range: colors can be in the range 0--1, 0--255, 0--65535 or any other range
```depth```    | (*1x1 double value*) the depth of the octree to be used for the transform. It needs to be an integer value grater than 0
```filename``` | (*string of chars*) file name
```Qstep```    | (*1x1 double value*) quantization step. It is dependent of the color range

### RAHT_dec (Region Adaptive Hierarchical Transform decoder)

**Usage**    | **Description**
------------ | -------------
```RAHT_dec()```                 | prints help information
```C = RAHT_dec(V, filename)```  | decodes the data from the given file

**INPUTS**   | **Description**
------------ | -------------
```V```     | (*Nx3 double matrix*) vertices of each voxel in the order (X, Y, Z). The values should be non negative integers
**OUTPUT**  | 
```C```     | (*Nx3*) colors associated to each voxel

# Compilation
There are two ways to compile the code, depending on your MATLAB version

## Newer versions
```matlab
mex( ...
    'd_main.cpp', ...
    'haar3D.cpp', ...
    'fixedpoint.cpp', ...
    './file/file.cpp', ...
    '-I./file', ...
    '-I.', ...
    '-output', ...
    'RAHT_cod', ...
    'COMPFLAGS="$COMPFLAGS /EHsc"')

mex( ...
    'i_main.cpp', ...
    'haar3D.cpp', ...
    'fixedpoint.cpp', ...
    './file/file.cpp', ...
    '-I./file', ...
    '-I.', ...
    '-output', ...
    'RAHT_dec', ...
    'COMPFLAGS="$COMPFLAGS /EHsc"')
```

## Older versions
```matlab
mex( ...
    'd_main.cpp', ...
    'haar3D.cpp', ...
    'fixedpoint.cpp', ...
    'sqrtif.cpp', ...
    './file/file.cpp', ...
    '-I./file', ...
    '-I.', ...
    '-o', ...
    'RAHT_cod', ...
    'COMPFLAGS="$COMPFLAGS /EHsc"')

mex( ...
    'i_main.cpp', ...
    'haar3D.cpp', ...
    'fixedpoint.cpp', ...
    'sqrtif.cpp', ...
    './file/file.cpp', ...
    '-I./file', ...
    '-I.', ...
    '-o', ...
    'RAHT_dec', ...
    'COMPFLAGS="$COMPFLAGS /EHsc"')
```
    
# FOR TESTING, ON MATLAB EXECUTE:
This test will compute the transformed coefficients that will be writen to file 'test.raht', decode the colors matrix from file and display the resulting Root Mean Squared Error.

```matlab
load test.mat
RAHT_cod(V, C, 9, 'test.raht', 10);
C2 = RAHT_dec(V, 'test.raht');
fprintf('RMSE: %g\n', sqrt(mean((C2(:)-C(:)).^2)))
s = dir('test.raht');
fprintf('Bytes: %d\n', s.bytes);
```
Expected result:
> RMSE: 2.95404
> Bytes: 986760

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