The negative effect of geometric distortion can be largely eliminated with the correct geometric transformation, so that we can focus on the image content itself in the next study and recognition. For this reason, geometric transformations are often used as a preprocessing step in other image processing applications. In this paper, quantum algorithms are developed using the geometric transformation of the quantum image representation QIRHSI (HSI Color Space Based Quantum Image Representation), including two-point exchange, circular translation, flip transform, and orthogonal rotation. HSI (Hue-Saturation-Intensity) color space. The above geometric transformation is performed by a quantum circuit with simple quantum gates. Analyzing the complexity of the fundamental quantum gate required for the above geometric transformations, it can be seen that the general transformations (circle translation, inverse transformation, and right-angle rotation) are lower than local transformations (two-point shifts). The geometric transformation concept is used to facilitate the low complexity and high performance of quantum images.

Quantum computation, quantum image sensor data, quantum geometric transformation, quantum circuit, quantum discrete transform, object identification.