A compressing apparatus includes: a matrix acquiring unit to sequentially acquire a partial feature matrix for each of a plurality of partial images that are obtained by splitting an image; and a first global matrix calculating unit to calculate a first global singular value matrix which is a first global singular value matrix and includes a singular value of a first partial feature matrix, and a first global right singular matrix which is a first global right singular matrix and includes a right singular vector corresponding to the singular value of the first partial feature matrix, by singular-value-decomposing the first partial feature matrix which is a partial feature matrix acquired first by the matrix acquiring unit.