Vectorizing interpolation?

[Nir Krakauer]

Is it possible to vectorize something like the following loop?

m = 1000; n = 30;

A = sort (randn(m, n), 2);

b = randn (m, 1);

c = nan (m, 1);

for i = 1:m

  c(i) = interp1 (A(i, :), 1:n, b(i));

endfor