/// <summary>
/// Finds the optimal (maximal) position for the cut.
/// </summary>
private Single Maximize(WuColorCube cube, Int32 direction, Int32 first, Int32 last, IList<Int32> cut, Int64 wholeRed, Int64 wholeGreen, Int64 wholeBlue, Int64 wholeWeight)
{
Int64 bottomRed = Bottom(cube, direction, momentsRed);
Int64 bottomGreen = Bottom(cube, direction, momentsGreen);
Int64 bottomBlue = Bottom(cube, direction, momentsBlue);
Int64 bottomWeight = Bottom(cube, direction, weights);
Single result = 0.0f;
cut[0] = -1;
for (Int32 position = first; position < last; ++position)
{
// determines the cube cut at a certain position
Int64 halfRed = bottomRed + Top(cube, direction, position, momentsRed);
Int64 halfGreen = bottomGreen + Top(cube, direction, position, momentsGreen);
Int64 halfBlue = bottomBlue + Top(cube, direction, position, momentsBlue);
Int64 halfWeight = bottomWeight + Top(cube, direction, position, weights);
// the cube cannot be cut at bottom (this would lead to empty cube)
if (halfWeight != 0)
{
Single halfDistance = halfRed*halfRed + halfGreen*halfGreen + halfBlue*halfBlue;
Single temp = halfDistance/halfWeight;
halfRed = wholeRed - halfRed;
halfGreen = wholeGreen - halfGreen;
halfBlue = wholeBlue - halfBlue;
halfWeight = wholeWeight - halfWeight;
if (halfWeight != 0)
{
halfDistance = halfRed * halfRed + halfGreen * halfGreen + halfBlue * halfBlue;
temp += halfDistance / halfWeight;
if (temp > result)
{
result = temp;
cut[0] = position;
}
}
}
}
return result;
}
/// <summary>
/// Calculates statistical variance for a given cube.
/// </summary>
private Single CalculateVariance(WuColorCube cube)
{
Single volumeRed = Volume(cube, momentsRed);
Single volumeGreen = Volume(cube, momentsGreen);
Single volumeBlue = Volume(cube, momentsBlue);
Single volumeMoment = VolumeFloat(cube, moments);
Single volumeWeight = Volume(cube, weights);
Single distance = volumeRed*volumeRed + volumeGreen*volumeGreen + volumeBlue*volumeBlue;
return volumeMoment - (distance/volumeWeight);
}
/// <summary>
/// Cuts a cube with another one.
/// </summary>
private Boolean Cut(WuColorCube first, WuColorCube second)
{
Int32 direction;
Int32[] cutRed = { 0 };
Int32[] cutGreen = { 0 };
Int32[] cutBlue = { 0 };
Int64 wholeRed = Volume(first, momentsRed);
Int64 wholeGreen = Volume(first, momentsGreen);
Int64 wholeBlue = Volume(first, momentsBlue);
Int64 wholeWeight = Volume(first, weights);
Single maxRed = Maximize(first, Red, first.RedMinimum + 1, first.RedMaximum, cutRed, wholeRed, wholeGreen, wholeBlue, wholeWeight);
Single maxGreen = Maximize(first, Green, first.GreenMinimum + 1, first.GreenMaximum, cutGreen, wholeRed, wholeGreen, wholeBlue, wholeWeight);
Single maxBlue = Maximize(first, Blue, first.BlueMinimum + 1, first.BlueMaximum, cutBlue, wholeRed, wholeGreen, wholeBlue, wholeWeight);
if ((maxRed >= maxGreen) && (maxRed >= maxBlue))
{
direction = Red;
// cannot split empty cube
if (cutRed[0] < 0) return false;
}
else
{
if ((maxGreen >= maxRed) && (maxGreen >= maxBlue))
{
direction = Green;
}
else
{
direction = Blue;
}
}
second.RedMaximum = first.RedMaximum;
second.GreenMaximum = first.GreenMaximum;
second.BlueMaximum = first.BlueMaximum;
// cuts in a certain direction
switch (direction)
{
case Red:
second.RedMinimum = first.RedMaximum = cutRed[0];
second.GreenMinimum = first.GreenMinimum;
second.BlueMinimum = first.BlueMinimum;
break;
case Green:
second.GreenMinimum = first.GreenMaximum = cutGreen[0];
second.RedMinimum = first.RedMinimum;
second.BlueMinimum = first.BlueMinimum;
break;
case Blue:
second.BlueMinimum = first.BlueMaximum = cutBlue[0];
second.RedMinimum = first.RedMinimum;
second.GreenMinimum = first.GreenMinimum;
break;
}
// determines the volumes after cut
first.Volume = (first.RedMaximum - first.RedMinimum)*(first.GreenMaximum - first.GreenMinimum)*(first.BlueMaximum - first.BlueMinimum);
second.Volume = (second.RedMaximum - second.RedMinimum)*(second.GreenMaximum - second.GreenMinimum)*(second.BlueMaximum - second.BlueMinimum);
// the cut was successfull
return true;
}
/// <summary>
/// Computes the volume of the cube in a specific moment. For the floating-point values.
/// </summary>
private static Single VolumeFloat(WuColorCube cube, Single[,,] moment)
{
return moment[cube.RedMaximum, cube.GreenMaximum, cube.BlueMaximum] -
moment[cube.RedMaximum, cube.GreenMaximum, cube.BlueMinimum] -
moment[cube.RedMaximum, cube.GreenMinimum, cube.BlueMaximum] +
moment[cube.RedMaximum, cube.GreenMinimum, cube.BlueMinimum] -
moment[cube.RedMinimum, cube.GreenMaximum, cube.BlueMaximum] +
moment[cube.RedMinimum, cube.GreenMaximum, cube.BlueMinimum] +
moment[cube.RedMinimum, cube.GreenMinimum, cube.BlueMaximum] -
moment[cube.RedMinimum, cube.GreenMinimum, cube.BlueMinimum];
}
/// <summary>
/// Computes the volume of the cube in a specific moment.
/// </summary>
private static Int64 Volume(WuColorCube cube, Int64[,,] moment)
{
return moment[cube.RedMaximum, cube.GreenMaximum, cube.BlueMaximum] -
moment[cube.RedMaximum, cube.GreenMaximum, cube.BlueMinimum] -
moment[cube.RedMaximum, cube.GreenMinimum, cube.BlueMaximum] +
moment[cube.RedMaximum, cube.GreenMinimum, cube.BlueMinimum] -
moment[cube.RedMinimum, cube.GreenMaximum, cube.BlueMaximum] +
moment[cube.RedMinimum, cube.GreenMaximum, cube.BlueMinimum] +
moment[cube.RedMinimum, cube.GreenMinimum, cube.BlueMaximum] -
moment[cube.RedMinimum, cube.GreenMinimum, cube.BlueMinimum];
}
/// <summary>
/// Splits the cube in given position, and color direction.
/// </summary>
private static Int64 Top(WuColorCube cube, Int32 direction, Int32 position, Int64[,,] moment)
{
switch (direction)
{
case Red:
return (moment[position, cube.GreenMaximum, cube.BlueMaximum] -
moment[position, cube.GreenMaximum, cube.BlueMinimum] -
moment[position, cube.GreenMinimum, cube.BlueMaximum] +
moment[position, cube.GreenMinimum, cube.BlueMinimum]);
case Green:
return (moment[cube.RedMaximum, position, cube.BlueMaximum] -
moment[cube.RedMaximum, position, cube.BlueMinimum] -
moment[cube.RedMinimum, position, cube.BlueMaximum] +
moment[cube.RedMinimum, position, cube.BlueMinimum]);
case Blue:
return (moment[cube.RedMaximum, cube.GreenMaximum, position] -
moment[cube.RedMaximum, cube.GreenMinimum, position] -
moment[cube.RedMinimum, cube.GreenMaximum, position] +
moment[cube.RedMinimum, cube.GreenMinimum, position]);
default:
return 0;
}
}
/// <summary>
/// Marks all the tags with a given label.
/// </summary>
private static void Mark(WuColorCube cube, Int32 label, IList<Int32> tag)
{
for (Int32 redIndex = cube.RedMinimum + 1; redIndex <= cube.RedMaximum; ++redIndex)
{
for (Int32 greenIndex = cube.GreenMinimum + 1; greenIndex <= cube.GreenMaximum; ++greenIndex)
{
for (Int32 blueIndex = cube.BlueMinimum + 1; blueIndex <= cube.BlueMaximum; ++blueIndex)
{
tag[(redIndex << 10) + (redIndex << 6) + redIndex + (greenIndex << 5) + greenIndex + blueIndex] = label;
}
}
}
}
/// <summary>
/// See <see cref="BaseColorQuantizer.OnPrepare"/> for more details.
/// </summary>
protected override void OnPrepare(ImageBuffer image)
{
// creates all the cubes
cubes = new WuColorCube[MaxColor];
// initializes all the cubes
for (Int32 cubeIndex = 0; cubeIndex < MaxColor; cubeIndex++)
{
cubes[cubeIndex] = new WuColorCube();
}
// resets the reference minimums
cubes[0].RedMinimum = 0;
cubes[0].GreenMinimum = 0;
cubes[0].BlueMinimum = 0;
// resets the reference maximums
cubes[0].RedMaximum = MaxSideIndex;
cubes[0].GreenMaximum = MaxSideIndex;
cubes[0].BlueMaximum = MaxSideIndex;
weights = new Int64[SideSize, SideSize, SideSize];
momentsRed = new Int64[SideSize, SideSize, SideSize];
momentsGreen = new Int64[SideSize, SideSize, SideSize];
momentsBlue = new Int64[SideSize, SideSize, SideSize];
moments = new Single[SideSize, SideSize, SideSize];
table = new Int32[256];
for (Int32 tableIndex = 0; tableIndex < 256; ++tableIndex)
{
table[tableIndex] = tableIndex * tableIndex;
}
pixelIndex = 0;
imageWidth = image.Width;
imageSize = image.Width * image.Height;
quantizedPixels = new Int32[imageSize];
pixels = new Int32[imageSize];
}
