본문 바로가기
Application/Delphi Lecture

Gaussian Blur in Delphi

by 현이빈이 2008. 8. 13.
반응형

You can do it like so. In informal testing it appears to take roughly twice as much time as Adobe Photoshop takes to do the same thing, which seems pretty OK to me - there are a lot of things you could do to speed it up.

The gaussian kernel exp(-(x^2 + y^2)) is of the form f(x)*g(y), which means that you can perform a two-dimensional convolution by doing a sequence of one-dimensional convolutions - first you convolve each row and then each column. This is much faster (an N^2 becomes an N*2). Any convolution requires some temporary storage - below the BlurRow routine allocates and frees the memory, meaning that it gets allocated and freed once for each row. Probably changing this would speed it up some, it's not entirely clear how much.

The kernel "size" is limited to 200 entries. In fact if you use radius anything like that large it will take forever - you want to try this with a radius = 3 or 5 or something. For a kernel with that many entries a straight convolution is the thing to do, while when the kernel gets much larger Fourier transform techniques will be better (I couldn't say what the actual cutoff is.)

One comment that needs to be made is that a gaussian blur has the magical property that you can blur each row one by one and then blur each column - this is much faster than an actual 2-d convolution.

Anyway, you can do this:


unit GBlur2;


interface


uses Windows, Graphics;


type

  PRGBTriple = ^TRGBTriple;

  TRGBTriple = packed record

  b: byte; //easier to type than rgbtBlue...

  g: byte;

  r: byte;

  end;


  PRow = ^TRow;

  TRow = array[0..1000000] of TRGBTriple;


  PPRows = ^TPRows;

  TPRows = array[0..1000000] of PRow;



const MaxKernelSize = 100;


type


  TKernelSize = 1..MaxKernelSize;


  TKernel = record

  Size: TKernelSize;

  Weights: array[-MaxKernelSize..MaxKernelSize] of single;

  end;

//the idea is that when using a TKernel you ignore the Weights

//except for Weights in the range -Size..Size.


procedure GBlur(theBitmap: TBitmap; radius: double);


implementation


uses SysUtils;


procedure MakeGaussianKernel(var K: TKernel; radius: double;

  MaxData, DataGranularity: double);

//makes K into a gaussian kernel with standard deviation = radius.

//for the current application you set MaxData = 255,

//DataGranularity = 1. Now the procedure sets the value of

//K.Size so that when we use K we will ignore the Weights

//that are so small they can't possibly matter. (Small Size

//is good because the execution time is going to be

//propertional to K.Size.)

var j: integer; temp, delta: double; KernelSize: TKernelSize;

begin

  for j:= Low(K.Weights) to High(K.Weights) do

  begin

  temp:= j/radius;

  K.Weights[j]:= exp(- temp*temp/2);

  end;


//now divide by constant so sum(Weights) = 1:


  temp:= 0;

  for j:= Low(K.Weights) to High(K.Weights) do

  temp:= temp + K.Weights[j];

  for j:= Low(K.Weights) to High(K.Weights) do

  K.Weights[j]:= K.Weights[j] / temp;



//now discard (or rather mark as ignorable by setting Size)

//the entries that are too small to matter -

//this is important, otherwise a blur with a small radius

//will take as long as with a large radius...

  KernelSize:= MaxKernelSize;

  delta:= DataGranularity / (2*MaxData);

  temp:= 0;

  while (temp < delta) and (KernelSize > 1) do

  begin

  temp:= temp + 2 * K.Weights[KernelSize];

  dec(KernelSize);

  end;


  K.Size:= KernelSize;


//now just to be correct go back and jiggle again so the

//sum of the entries we'll be using is exactly 1:


  temp:= 0;

  for j:= -K.Size to K.Size do

  temp:= temp + K.Weights[j];

  for j:= -K.Size to K.Size do

  K.Weights[j]:= K.Weights[j] / temp;


end;


function TrimInt(Lower, Upper, theInteger: integer): integer;

begin

 if (theInteger <= Upper) and (theInteger >= Lower) then

  result:= theInteger

 else

  if theInteger > Upper then

  result:= Upper

  else

  result:= Lower;

end;


function TrimReal(Lower, Upper: integer; x: double): integer;

begin

 if (x < upper) and (x >= lower) then

  result:= trunc(x)

 else

  if x > Upper then

  result:= Upper

  else

  result:= Lower;

end;


procedure BlurRow(var theRow: array of TRGBTriple; K: TKernel; P: PRow);

var j, n, LocalRow: integer; tr, tg, tb: double; //tempRed, etc

  w: double;

begin


for j:= 0 to High(theRow) do

  begin

  tb:= 0;

  tg:= 0;

  tr:= 0;

  for n:= -K.Size to K.Size do

  begin

  w:= K.Weights[n];


//the TrimInt keeps us from running off the edge of the row...

  with theRow[TrimInt(0, High(theRow), j - n)] do

  begin

  tb:= tb + w * b;

  tg:= tg + w * g;

  tr:= tr + w * r;

  end;

  end;

  with P[j] do

  begin

  b:= TrimReal(0, 255, tb);

  g:= TrimReal(0, 255, tg);

  r:= TrimReal(0, 255, tr);

  end;

  end;


Move(P[0], theRow[0], (High(theRow) + 1) * Sizeof(TRGBTriple));

end;


procedure GBlur(theBitmap: TBitmap; radius: double);

var Row, Col: integer; theRows: PPRows; K: TKernel; ACol: PRow; P:PRow;

begin

if (theBitmap.HandleType >< bmDIB) or (theBitmap.PixelFormat >< pf24Bit) then

 raise exception.Create('GBlur only works for 24-bit bitmaps');



MakeGaussianKernel(K, radius, 255, 1);

GetMem(theRows, theBitmap.Height * SizeOf(PRow));

GetMem(ACol, theBitmap.Height * SizeOf(TRGBTriple));


//record the location of the bitmap data:

for Row:= 0 to theBitmap.Height - 1 do

  theRows[Row]:= theBitmap.Scanline[Row];


//blur each row:

P:= AllocMem(theBitmap.Width*SizeOf(TRGBTriple));

for Row:= 0 to theBitmap.Height - 1 do

  BlurRow(Slice(theRows[Row]^, theBitmap.Width), K, P);


//now blur each column

ReAllocMem(P, theBitmap.Height*SizeOf(TRGBTriple));

for Col:= 0 to theBitmap.Width - 1 do

begin

//- first read the column into a TRow:

  for Row:= 0 to theBitmap.Height - 1 do

  ACol[Row]:= theRows[Row][Col];



  BlurRow(Slice(ACol^, theBitmap.Height), K, P);


//now put that row, um, column back into the data:

  for Row:= 0 to theBitmap.Height - 1 do

  theRows[Row][Col]:= ACol[Row];

end;


FreeMem(theRows);

FreeMem(ACol);

ReAllocMem(P, 0);

end;


end.


Should work unless some code got deleted along with irrelevant comments. For example:


procedure TForm1.Button1Click(Sender: TObject);

var b: TBitmap;

begin

  if not openDialog1.Execute then exit;

  b:= TBitmap.Create;

  b.LoadFromFile(OpenDialog1.Filename);

  b.PixelFormat:= pf24Bit;

  Canvas.Draw(0, 0, b);

  GBlur(b, StrToFloat(Edit1.text));

  Canvas.Draw(b.Width, 0, b);

  b.Free;

end;



출처

http://www.esanu.name/delphi/Multimedia/Graphics/Gaussian%20Blur%20in%20Delphi.html

반응형