Given that random measurement matrix has defect in hardware realization,a scale-invariant feature transform(SIFT)based on polynomial deterministic matrix algorithm is proposed combining with the sparse projection of compressive sensing theory.The effectiveness of feature vector is enhanced by increasing the numbers of orientation gradient.The dimension of SIFT feature vector is decreased by apolynomial deterministic matrix with the measurement numbers of 7.Accordingly,the Euclidean distance is introduced to...