"Anatomical Planes in a Human: There are three basic planes in zoological anatomy: sagittal, coronal, and transverse. A human in the anatomical position, car be described using a coordinate system with the Z-axis going from front to back, the X-axis going from left to right, and the Y-axis going from up to down." Source Origin on these planes is not defined though. So you can pick your own origin. You are developing a system to help doctors during lathorscopic surgery. You display the position of the instrument tip on a screen that also shows their CT/MRI image. You want to see if it would help them to have the image actively rotated as they work so that the tip of the instrument is centered and always pointing forward. Before you get into animation you know you need to smooth the data do the image is not moving with jerky motions. You also want to see what the image will look like for an example to share with your team. (a) (b) CT, MRI T1, MRI T2 Source Source/nQuestion (90 pts) • Smooth the x, y, and angle data. Use parameters that seem to remove operator jitter but not real movements. Plot y vs x and a vst before/after • [2] sns. line plot(df, x="x", y=...) df["x"] = df[...] . rolling (..., win_type= 'gaussian').mean (std=...) df["y"] = df[...] . rolling (..., win_type='gaussian').mean (std=...) sns. line plot(df, x="x", y="y") ax = plt.gca() ax. invert_yaxis()/nBonus Question (20 pts) Use time sample 0 for example image. Transform the patient image/scan so that it shows the prob's position and direction it is pointing. Pick one of the image modalities. Presume roughly 1 cm = 10 pixels. You want the probe to show up in the middle of the displayed image axes. import math

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