make a c# programm for windonsFormApp$($visual code studio$)$ on the form that binarizes so that, $1)$ the image displayed as a preview has about the same resolution as the picturebox it is displayed in $($downsampling to speed up the preview with the different thresholds$)2)$ there is a button for threshold selection with Otsu's algorithm. For otsu i have this private static float Px$($int init, int end, int$[]$ hist$)$

$\{$

int sum $=0$;

int i;

for $($i $=$ init; i $<=$ end; i$++)$

sum $+=$ hist$[$i$]$;

return $($float$)$sum;

$\}$

private static float Mx$($int init, int end, int$[]$ hist$)$

$\{$

int sum $=0$;

int i;

for $($i $=$ init; i $<=$ end; i$++)$

sum $+=$ i $*$ hist$[$i$]$;

return $($float$)$sum;

$\}$

private static int FindMax$($float$[]$ vec, int n$)$

$\{$

float maxVec $=0$;

int idx $=0$;

int i;

for $($i $=1$; i $<$ n $-1$; i$++)$

$\{$

if $($vec$[$i$]>$ maxVec$)$

$\{$

maxVec $=$ vec$[$i$]$;

idx $=$ i;

$\}$

$\}$

return idx;

$\}$

unsafe private static void GetHistogram$($byte$*$ p$,$ int w$,$ int h$,$ int ws$,$ int$[]$ hist$)$

$\{$

hist.Initialize$()$;

for $($int i $=0$; i $<$ h; i$++)$

$\{$

for $($int j $=0$; j $<$ w $*3$; j $+=3)$

$\{$

int index $=$ i $*$ ws $+$ j;

hist$[$p$[$index$]]++$;

$\}$

$\}$

$\}$

public static int GetOtsuThreshold$($Bitmap bmp$)$

$\{$

byte t $=0$;

float$[]$ vet $=$ new float$[256]$;

int$[]$ hist $=$ new int$[256]$;

vet.Initialize$()$;

float p$1,$ p$2,$ p$12$;

int k;

BitmapData bmData $=$ bmp$.$LockBits$($new Rectangle$(0,0,$ bmp$.$Width, bmp$.$Height$),$

ImageLockMode.ReadOnly, PixelFormat.Format$24$bppRgb$)$;

unsafe

$\{$

byte$*$ p $=($byte$*)($void$*)$bmData$.$Scan$0.$ToPointer$()$;

GetHistogram$($p$,$ bmp$.$Width, bmp$.$Height, bmData.Stride, hist$)$;

for $($k $=1$; k $!=255$; k$++)$

$\{$

p$1=$ Px$(0,$ k$,$ hist$)$;

p$2=$ Px$($k $+1,255,$ hist$)$;

p$12=$ p$1*$ p$2$;

if $($p$12==0)$

p$12=1$;

float diff $=($Mx$(0,$ k$,$ hist$)*$ p$2)-($Mx$($k $+1,255,$ hist$)*$ p$1)$;

vet$[$k$]=($float$)$diff $*$ diff $/$ p$12$;

$\}$

$\}$

bmp$.$UnlockBits$($bmData$)$;

t $=($byte$)$FindMax$($vet$,256)$;

return t;

$\}($i think it needs form$1,$form$2$ and class$1$ thank you$)$