Move to MxN cell array to 1xN cell array

I have a 15x20 cell matrix, and I would to concatenate all the elements of each cell along the columns. That is, I want to move from the 15x20 cell matrix to 1x20 cell array. I attach a file as an example. To be clear, in my case the resulting CELL{2} mu to have 101 elements, CELL{3} 119 elements and so on.

Is there a way to do this without a for loop? Thanks and I hope I was clear.

Answer 1

[Stephen23]

C = load('CellMatrixExample.mat').EmissivityMat

C = 15x20 cell array
  Columns 1 through 10

    {31964x1 single}    {46x1 single}    {23x1 single}    {18x1 single}    {29x1 single}    {13x1 single}    {13x1 single}    {23x1 single}    {26x1 single}    {17x1 single}
    {31940x1 single}    {55x1 single}    {41x1 single}    {22x1 single}    { 6x1 single}    {25x1 single}    {21x1 single}    {19x1 single}    {22x1 single}    {26x1 single}
    {31979x1 single}    { 0x0 double}    {55x1 single}    {29x1 single}    {12x1 single}    {14x1 single}    {32x1 single}    {19x1 single}    {17x1 single}    {21x1 single}
    {32038x1 single}    { 0x0 double}    { 0x0 double}    {52x1 single}    {18x1 single}    {24x1 single}    {16x1 single}    {22x1 single}    {15x1 single}    {15x1 single}
    {32088x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {36x1 single}    {34x1 single}    {24x1 single}    {12x1 single}    {18x1 single}    {12x1 single}
    {32137x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {36x1 single}    {34x1 single}    {22x1 single}    {11x1 single}    {16x1 single}
    {32177x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {36x1 single}    {31x1 single}    {14x1 single}    {10x1 single}
    {32219x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {34x1 single}    {26x1 single}    {12x1 single}
    {32293x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {20x1 single}    {18x1 single}
    {32365x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 4x1 single}
    {32479x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}
    {32599x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}
    {32776x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}
    {32936x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}
    {33142x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}

  Columns 11 through 20

    {31x1 single}    {11x1 single}    {14x1 single}    {13x1 single}    {15x1 single}    {23x1 single}    {25x1 single}    {18x1 single}    {29x1 single}    {12x1 single}
    { 7x1 single}    {25x1 single}    {10x1 single}    {14x1 single}    {21x1 single}    {22x1 single}    {23x1 single}    {25x1 single}    { 9x1 single}    {24x1 single}
    { 9x1 single}    {10x1 single}    {17x1 single}    {21x1 single}    {23x1 single}    {20x1 single}    {20x1 single}    {22x1 single}    {10x1 single}    {11x1 single}
    {14x1 single}    {11x1 single}    {15x1 single}    {22x1 single}    {17x1 single}    {21x1 single}    {18x1 single}    {17x1 single}    {11x1 single}    {14x1 single}
    {10x1 single}    {20x1 single}    {13x1 single}    {20x1 single}    {17x1 single}    {14x1 single}    {17x1 single}    {13x1 single}    { 6x1 single}    {15x1 single}
    { 5x1 single}    {14x1 single}    {27x1 single}    { 9x1 single}    {19x1 single}    {15x1 single}    {12x1 single}    {14x1 single}    { 6x1 single}    { 9x1 single}
    {10x1 single}    { 7x1 single}    {23x1 single}    {29x1 single}    { 7x1 single}    {19x1 single}    {14x1 single}    {12x1 single}    { 5x1 single}    { 6x1 single}
    { 7x1 single}    {16x1 single}    {10x1 single}    {20x1 single}    {22x1 single}    { 6x1 single}    {17x1 single}    {14x1 single}    {10x1 single}    { 7x1 single}
    {13x1 single}    {16x1 single}    {20x1 single}    { 8x1 single}    {18x1 single}    {19x1 single}    { 5x1 single}    {15x1 single}    { 4x1 single}    {13x1 single}
    {16x1 single}    {21x1 single}    {20x1 single}    {20x1 single}    { 7x1 single}    {15x1 single}    {17x1 single}    { 4x1 single}    { 4x1 single}    { 8x1 single}
    {[   0.5438]}    {19x1 single}    {20x1 single}    {17x1 single}    {15x1 single}    { 6x1 single}    {12x1 single}    {10x1 single}    { 3x1 single}    { 9x1 single}
    { 0x0 double}    {[   0.5438]}    {19x1 single}    {14x1 single}    {14x1 single}    {11x1 single}    { 4x1 single}    { 8x1 single}    {[   0.5440]}    { 8x1 single}
    { 0x0 double}    { 0x0 double}    {[   0.5438]}    {18x1 single}    { 9x1 single}    {11x1 single}    { 9x1 single}    {[   0.5443]}    { 0x0 double}    { 4x1 single}
    { 0x0 double}    { 0x0 double}    { 0x0 double}    {[   0.5438]}    {13x1 single}    { 3x1 single}    { 5x1 single}    { 0x0 double}    { 0x0 double}    { 4x1 single}
    { 0x0 double}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {[   0.5438]}    { 7x1 single}    { 0x0 double}    { 0x0 double}    { 0x0 double}    {[   0.5441]}

F = @(c)vertcat(c{:});
C = cellfun(F,num2cell(C,1),'uni',0)

C = 1x20 cell array
  Columns 1 through 9

    {485132x1 single}    {101x1 single}    {119x1 single}    {121x1 single}    {101x1 single}    {146x1 single}    {176x1 single}    {182x1 single}    {169x1 single}

  Columns 10 through 19

    {151x1 single}    {123x1 single}    {171x1 single}    {209x1 single}    {226x1 single}    {218x1 single}    {212x1 single}    {198x1 single}    {173x1 single}    {98x1 single}

  Column 20

    {145x1 single}

[Leo Pio D'Adderio]

Hi Stephen,

thanks! It work perfectly. However, it seems that the "for loop version" that you put as first answer (I suppose you removed it) works faster than this.

Anyway, I am very grateful for the help.

[Stephen23]

"However, it seems that the "for loop version" that you put as first answer (I suppose you removed it) works faster than this."

Yes, I would expect that a well-written FOR-loop would be faster than CELLFUN. Unfortunately there is a persistent myth that loops should be avoided in all cases... I have no idea why this myth is so persistent.