String selection from Matrix data

Hi guys. I need a little help from you Matlab experts.
I have a cell array (Names) with a list of 14 different names. Then I have a 15x3 matrix (Selection) with some random numbers from 0-14.
Now what I want to do is use each row in the "selection" matrix to make a list of names corresponding to the number in each cell. As an example the first row is [1 3 12] shall make thes list of names {Dave Smith Niko}. The third row is [9 2 0] and should result in the list {Chris Andy}.
It's ok to get the name list's out in a combined 15x3 cell array for instance from a loop.
PLEASE help me sort this out. Thanks
Names = {
'Dave'
'Andy'
'Smith'
'Eric'
'Donna'
'Lisa'
'Gawin'
'Bill'
'Chris'
'Crystal'
'Beth'
'Niko'
'Conny'
'Clara'
}
Selection = [
1 3 12;
3 6 8;
9 2 0;
4 2 1;
8 5 7;
3 2 0;
4 7 1;
4 9 12;
0 0 0;
0 0 0;
0 0 0;
0 0 0;
0 0 0;
0 0 0;
0 0 0;
]

 采纳的回答

Names(end+1) = {'none'};
Selection(Selection == 0) = numel(Names);
out = Names(Selection);
or
out = cellfun(@(x)reshape(Names(x(x~=0)),1,[]),num2cell(Selection,2),'un',0);

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