Amit_chaudhary asked . 2023-02-07

Why do I receive errors using IFANBEAM for matrices with NaN

Why do I receive errors using IFANBEAM for matrices with NaN values in Image Processing Toolbox 7.2 (R2011a)?

I am trying to use the function IFANBEAM on a matrix with NaN values and receive a warning and an error depending on how many NaNs the matrix contains. An example of the code, warning and error message follow:

 

 

A = rand(10, 10);

b = 100;

good_result = ifanbeam(A, b);

A(10, 1:9) = NaN;

some_result = ifanbeam(A, b);

A(10, 10) = NaN;

bad_result = ifanbeam(A, b);
 Warning: NaN found in Y, interpolation at undefined values

will result in undefined values. 

 > In interp1 at 177

   In fan2para>fan2paraInterp at 231

   In fan2para>fan2paraInterp at 221

   In fan2para at 196

   In ifanbeam at 191

   In my_program at 8 

 Warning: All data points with NaN in their value will be ignored. 

 > In polyfun\private\chckxy at 101

   In spline at 54

   In interp1 at 274

   In fan2para>fan2paraInterp at 231

   In fan2para>fan2paraInterp at 221

   In fan2para at 196

   In ifanbeam at 191

   In my_program at 8 

 Error using chckxy (line 104)

 There should be at least two data points.

 Error in spline (line 54)

 [x,y,sizey,endslopes] = chckxy(x,y);

 Error in interp1 (line 274)

         yiMat = spline(xCol.',yMat.',xiCol.').';

 Error in fan2para>fan2paraInterp (line 231)

         Fsh(i,:) = interp1(thetaDeg-gammaDeg(i),F(i,:),pthetaDeg,interp);

 Error in fan2para>fan2paraInterp (line 221)

     P = fan2paraInterp(Fpad,d,gammaDeg,thetapad,...

 Error in fan2para (line 196)

 P = fan2paraInterp(F,d,...

 Error in ifanbeam (line 191)

 [P,oploc,optheta] = fan2para(F,d,...

 Error in my_program (line 8)

 bad_result = ifanbeam(A, b);

 

fanbeam , Image Processing Toolbox , Image Processing and Computer Vision , Image Segmentation and A

Expert Answer

Kshitij Singh answered . 2024-04-30 17:08:33

The ability to compute the inverse fan-beam transform using IFANBEAM function when the input matrix has a row of NaN values is not available in MATLAB.
 
The IFANBEAM code works by doing interpolation then by calling IRADON. In this example, the error happens during the interpolation step in FAN2PARA. When there are NaN values, interpolation fails. The warnings and errors come from code in MATLAB's INTERP1 function. In some cases, INTERP1 can attempt to ignore NaNs to do its job interpolating. However, if there are too many NaNs, it cannot produce good results. In both cases, the resulting values will not be meaningful as the NaN values will just spread around.
 
The only solution to avoid the warning and error is to remove the row of NaN values from the data.


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