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Question 1: (Image processing): Reproduce the following process of image stitching to create a Panorama with step-by-step process. Please replace the input image with your own image. https://medium.com/@navekshasood/image-stitching-to-create-a-panorama-5e030ecc8f7

Alternatively, there are more complicated examples and methods as below. Feel free to reproduce any of them using your own image. https://github.com/visionxiang/Image-Stitching-Dataset

Question 2: (Signal processing): Explain the phenomenon of aliasing in signal processing. Why does aliasing occur, and what are its implications for the interpretation of biomedical signals such as ECG or EEG recordings? Discuss strategies to prevent aliasing, emphasizing the role of the Nyquist criterion in selecting an appropriate sampling rate.

Question 3: (Electronics) Explain how Field-Programmable Gate Arrays (FPGAs) are used in processing biomedical signals. Why are FPGAs preferred for real-time biomedical applications, such as heart rate monitoring or patient monitoring systems? Discuss the benefits of FPGAs in terms of speed and flexibility. Provide a simple example of a biomedical signal processing task that benefits from using an FPGA.

Question 4: (Photoacoustic imaging): What are the determining factors for lateral resolution and axial resolution in photoacoustic imaging? Please note that optical-resolution photoacoustic microscopy, acoustic-resolution photoacoustic microscopy, and photoacoustic computed tomography have different factors.

Question 5: (Ultrasound imaging): Describe the principles of ultrasound imaging. How do differences in acoustic impedance within the body contribute to the generation of ultrasound images? Discuss the role of transducer frequency in determining image resolution and depth penetration.

Question 6: (Optical Imaging) The resolution of an optical imaging system is often limited by diffraction. Using the Abbe criterion, calculate the diffraction-limited resolution and depth of field for a microscope using light with a wavelength of 500 nm and an objective lens with a numerical aperture (NA) of 1.2. Discuss how super-resolution imaging techniques such as STED (Stimulated Emission Depletion) microscopy can surpass the traditional diffraction limit