Question

I am looking for ways to create fisheye lens effect, looked at documentations for openCV, it looks like it contains Camera Calibration functions for radial distortions like fisheye. Is it possible to simulate fisheye distortion by openCV?

If it is possible to do it by openCV, comparing to openGL, which one will generate better results? Thanks.

Answer 1

I created this app using opencv. Is this the effect you are referring to?
I basically coded the formula shown on wikipedia’s “Distortion(optics)” I can show the code if needed

Update:
OK, so below is the actual code written in c++ using opencv (not documented so feel free to ask for explanations):
The program recieves as input the following parameter: |input image| |output image| |K which controlls amount of distortion (typically try values around 0.001)| |x coordinate of center of distortion| |y coordinate of center of distortion|

So the crux of the program is the double for loop which iterates pixel by pixel on the result image and looks for the matching pixel in the input image using the formula for radial distortion (this is the way image warping is generally done – perhaps counter intuitively by back-projection from output to input). There are some subtleties which have to do with the scale of the output image (in this program the resulting image is the same size as the input), and I won’t get into it unless you want to get into more details.enjoy.

    #include <cv.h>
    #include <highgui.h>
    #include <math.h>
    #include <unistd.h>
    #include <getopt.h>
    #include <iostream>


    void sampleImage(const IplImage* arr, float idx0, float idx1, CvScalar& res)
    {
      if(idx0<0 || idx1<0 || idx0>(cvGetSize(arr).height-1) || idx1>(cvGetSize(arr).width-1)){
        res.val[0]=0;
        res.val[1]=0;
        res.val[2]=0;
        res.val[3]=0;
        return;
      }
      float idx0_fl=floor(idx0);
      float idx0_cl=ceil(idx0);
      float idx1_fl=floor(idx1);
      float idx1_cl=ceil(idx1);

      CvScalar s1=cvGet2D(arr,(int)idx0_fl,(int)idx1_fl);
      CvScalar s2=cvGet2D(arr,(int)idx0_fl,(int)idx1_cl);
      CvScalar s3=cvGet2D(arr,(int)idx0_cl,(int)idx1_cl);
      CvScalar s4=cvGet2D(arr,(int)idx0_cl,(int)idx1_fl);
      float x = idx0 - idx0_fl;
      float y = idx1 - idx1_fl;
      res.val[0]= s1.val[0]*(1-x)*(1-y) + s2.val[0]*(1-x)*y + s3.val[0]*x*y + s4.val[0]*x*(1-y);
      res.val[1]= s1.val[1]*(1-x)*(1-y) + s2.val[1]*(1-x)*y + s3.val[1]*x*y + s4.val[1]*x*(1-y);
      res.val[2]= s1.val[2]*(1-x)*(1-y) + s2.val[2]*(1-x)*y + s3.val[2]*x*y + s4.val[2]*x*(1-y);
      res.val[3]= s1.val[3]*(1-x)*(1-y) + s2.val[3]*(1-x)*y + s3.val[3]*x*y + s4.val[3]*x*(1-y);
    }

    float xscale;
    float yscale;
    float xshift;
    float yshift;

    float getRadialX(float x,float y,float cx,float cy,float k){
      x = (x*xscale+xshift);
      y = (y*yscale+yshift);
      float res = x+((x-cx)*k*((x-cx)*(x-cx)+(y-cy)*(y-cy)));
      return res;
    }

    float getRadialY(float x,float y,float cx,float cy,float k){
      x = (x*xscale+xshift);
      y = (y*yscale+yshift);
      float res = y+((y-cy)*k*((x-cx)*(x-cx)+(y-cy)*(y-cy)));
      return res;
    }

    float thresh = 1;
    float calc_shift(float x1,float x2,float cx,float k){
      float x3 = x1+(x2-x1)*0.5;
      float res1 = x1+((x1-cx)*k*((x1-cx)*(x1-cx)));
      float res3 = x3+((x3-cx)*k*((x3-cx)*(x3-cx)));

      //  std::cerr<<"x1: "<<x1<<" - "<<res1<<" x3: "<<x3<<" - "<<res3<<std::endl;

      if(res1>-thresh and res1 < thresh)
        return x1;
      if(res3<0){
        return calc_shift(x3,x2,cx,k);
      }
      else{
        return calc_shift(x1,x3,cx,k);
      }
    }

    int main(int argc, char** argv)
    {
      IplImage* src = cvLoadImage( argv[1], 1 );
      IplImage* dst = cvCreateImage(cvGetSize(src),src->depth,src->nChannels);
      IplImage* dst2 = cvCreateImage(cvGetSize(src),src->depth,src->nChannels);
      float K=atof(argv[3]);
      float centerX=atoi(argv[4]);
      float centerY=atoi(argv[5]);
      int width = cvGetSize(src).width;
      int height = cvGetSize(src).height;

      xshift = calc_shift(0,centerX-1,centerX,K);
      float newcenterX = width-centerX;
      float xshift_2 = calc_shift(0,newcenterX-1,newcenterX,K);

      yshift = calc_shift(0,centerY-1,centerY,K);
      float newcenterY = height-centerY;
      float yshift_2 = calc_shift(0,newcenterY-1,newcenterY,K);
      //  scale = (centerX-xshift)/centerX;
      xscale = (width-xshift-xshift_2)/width;
      yscale = (height-yshift-yshift_2)/height;

      std::cerr<<xshift<<" "<<yshift<<" "<<xscale<<" "<<yscale<<std::endl;
      std::cerr<<cvGetSize(src).height<<std::endl;
      std::cerr<<cvGetSize(src).width<<std::endl;

      for(int j=0;j<cvGetSize(dst).height;j++){
        for(int i=0;i<cvGetSize(dst).width;i++){
          CvScalar s;
          float x = getRadialX((float)i,(float)j,centerX,centerY,K);
          float y = getRadialY((float)i,(float)j,centerX,centerY,K);
          sampleImage(src,y,x,s);
          cvSet2D(dst,j,i,s);

        }
      }
    #if 0
      cvNamedWindow( "Source1", 1 );
      cvShowImage( "Source1", dst);
      cvWaitKey(0);
    #endif

      cvSaveImage(argv[2],dst,0);

    #if 0
      for(int j=0;j<cvGetSize(src).height;j++){
        for(int i=0;i<cvGetSize(src).width;i++){
          CvScalar s;
          sampleImage(src,j+0.25,i+0.25,s);
          cvSet2D(dst,j,i,s);
        }
      }

      cvNamedWindow( "Source1", 1 );
      cvShowImage( "Source1", src);
      cvWaitKey(0);

    #endif  

}