Multi-resolution single-pixel imaging via Hadamard ‘pipeline’ coding

Multi-resolution imaging is one of the key means to obtain the target scene information. The Hadamard matrix, which is orthogonal, is an important modulation matrix for single-pixel imaging. In particular, it can provide a good means for multi-resolution imaging. However, as far as we know, studies of high-efficiency multi-resolution single-pixel imaging are rare in the literature. In view of the practical application requirements of fast multi-resolution imaging, we propose a multi-resolution single-pixel imaging method based on Hadamard ‘pipeline’ coding, which can directly generate two-dimensional Hadamard basis patterns and multi-resolution Hadamard optimization sequences, whereby both the memory consumption and the complexity of coding implementation for multi-resolution imaging can be significantly reduced. The commonly used optimization method of Hadamard optimization sequence implementation and time consumption are also discussed. This method provides a new approach for Hadamard sequence optimization and multi-resolution single-pixel imaging applications.