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procedure _LapeTPASortCircular(const Params: PParamArray; const Result: Pointer) PPointArray(Result)^ := PPointArray(Params^[0])^.SortCircular(PPoint(Params^[1])^, PInteger(Params^[2])^, PBoolean(Params^[3])^); end; +(* +TPointArray.DistanceTransform +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +> function TPointArray.DistanceTransform: TSingleMatrix; +*) +procedure _LapeTPADistanceTransform(const Params: PParamArray; const Result: Pointer); LAPE_WRAPPER_CALLING_CONV +begin + PSingleMatrix(Result)^ := PPointArray(Params^[0])^.DistanceTransform(); +end; + procedure ImportTPA(Compiler: TSimbaScript_Compiler); begin with Compiler do @@ -798,8 +808,10 @@ procedure ImportTPA(Compiler: TSimbaScript_Compiler); addGlobalFunc('function TPointArray.Difference(Other: TPointArray): TPointArray', @_Lape_Point_Difference); addGlobalFunc('function TPointArray.SymmetricDifference(Other: TPointArray): TPointArray', @_Lape_Point_SymmetricDifference); + addGlobalFunc('function TPointArray.DistanceTransform: TSingleMatrix;', @_LapeTPADistanceTransform); + ImportingSection := ''; end; end; -end. \ No newline at end of file +end. diff --git a/Source/simba.tpa.pas b/Source/simba.tpa.pas index 51b084238..f32a2747d 100644 --- a/Source/simba.tpa.pas +++ b/Source/simba.tpa.pas @@ -18,6 +18,7 @@ - Grow - RotateEx - PartitionEx + - DistanceTransform } { @@ -128,6 +129,8 @@ interface function PartitionEx(BoxWidth, BoxHeight: Integer): T2DPointArray; overload; function Intersection(Other: TPointArray): TPointArray; + + function DistanceTransform: TSingleMatrix; end; implementation @@ -2125,5 +2128,105 @@ function TPointArrayHelper.Intersection(Other: TPointArray): TPointArray; Result := Algo_Point_Intersection(Self, Other); end; +function TPointArrayHelper.DistanceTransform: TSingleMatrix; + + function EucDist(const x1,x2:Int32): Int32; inline; + begin + Result := Sqr(x1) + Sqr(x2); + end; + + function EucSep(const i,j, ii,jj:Int32): Int32; inline; + begin + Result := Round((sqr(j) - sqr(i) + sqr(jj) - sqr(ii))/(2*(j-i))); + end; + + function Transform(const binIm:TIntegerArray; m,n:Int32): TSingleMatrix; + var + x,y,h,w,i,wid:Int32; + tmp,s,t:TIntegerArray; + begin + // first pass + SetLength(tmp, m*n); + h := n-1; + w := m-1; + for x:=0 to w do + begin + if binIm[x] = 0 then + tmp[x] := 0 + else + tmp[x] := m+n; + + for y:=1 to h do + if (binIm[y*m+x] = 0) then + tmp[y*m+x] := 0 + else + tmp[y*m+x] := 1 + tmp[(y-1)*m+x]; + + for y:=h-1 downto 0 do + if (tmp[(y+1)*m+x] < tmp[y*m+x]) then + tmp[y*m+x] := 1 + tmp[(y+1)*m+x] + end; + + // second pass + SetLength(Result,n,m); + SetLength(s,m); + SetLength(t,m); + wid := 0; + for y:=0 to h do + begin + i := 0; + s[0] := 0; + t[0] := 0; + + for x:=1 to W do + begin + while (i >= 0) and (EucDist(t[i]-s[i], tmp[y*m+s[i]]) > EucDist(t[i]-x, tmp[y*m+x])) do + Dec(i); + if (i < 0) then + begin + i := 0; + s[0] := x; + end else + begin + wid := 1 + EucSep(s[i], x, tmp[y*m+s[i]], tmp[y*m+x]); + if (wid < m) then + begin + Inc(i); + s[i] := x; + t[i] := wid; + end; + end; + end; + + for x:=W downto 0 do + begin + Result[y,x] := Sqrt(EucDist(x-s[i], tmp[y*m+s[i]])); + if (x = t[i]) then + Dec(i); + end; + end; + end; + +var + Data:TIntegerArray; + w,h,n,i:Int32; + B:TBox; +begin + Result := nil; + if (Length(Self) = 0) then + Exit; + + B := Self.Bounds(); + B.Y1 -= 1; + B.X1 -= 1; + w := (B.x2 - B.X1) + 2; + h := (B.y2 - B.Y1) + 2; + SetLength(Data, h*w); + for i:=0 to High(Self) do + Data[(Self[i].y-B.Y1)*w+(Self[i].x-B.X1)] := 1; + + Result := Transform(data,w,h); +end; + end.