basic course content added, more TODO

courses/uoph410-510a_Image-Analysis/wk1/s0.py

@@ -0,0 +1,99 @@
+# /// script
+# requires-python = ">=3.13"
+# dependencies = [
+#     "marimo>=0.19.7",
+# ]
+# ///
+
+import marimo
+
+__generated_with = "0.19.11"
+app = marimo.App(width="medium")
+
+
+@app.cell
+def _():
+    import marimo as mo
+
+    return (mo,)
+
+
+@app.cell
+def _():
+    import numpy as np
+
+    return (np,)
+
+
+@app.cell
+def _():
+    import matplotlib.pyplot as plt
+
+    return (plt,)
+
+
+@app.cell
+def _(mo):
+    from pathlib import Path
+    mo.pdf(src=Path("Homework0.pdf"), width="100%", height="50vh")
+    return
+
+
+@app.cell
+def _(np):
+    def unit_gridcircle_mask(N):
+        ruler = np.arange(-(N + 1.5), (N + 2.5)) / N
+        xx, yy = np.meshgrid(ruler, ruler)
+        mask = np.sqrt(np.square(xx) + np.square(yy)) <= 1
+        return mask
+
+    return (unit_gridcircle_mask,)
+
+
+@app.cell
+def _(np, unit_gridcircle_mask):
+    def unit_gridcircle_area(N):
+        area = float(np.sum(unit_gridcircle_mask(N), dtype=float) / N**2)
+        return area
+
+    return (unit_gridcircle_area,)
+
+
+@app.cell
+def _(np, plt, unit_gridcircle_mask):
+    plt.matshow(unit_gridcircle_mask(5), cmap=plt.cm.gray_r)
+    plt.grid(visible=True, color="cyan")
+    plt.xticks(ticks=(np.arange(14) - 0.5))
+    plt.yticks(ticks=(np.arange(14) - 0.5))
+    f = plt.gca()
+    f.axes.xaxis.set_ticklabels([])
+    f.axes.yaxis.set_ticklabels([])
+    plt.show()
+    return
+
+
+@app.cell
+def _(np, plt, unit_gridcircle_area):
+    Npts = 100
+    Ns = np.unique(np.floor(np.logspace(np.log10(2), np.log10(2000), Npts)).astype(int))
+    As = list(map(unit_gridcircle_area, Ns))
+
+    plt.figure(figsize=(8,6))
+    plt.semilogx(Ns, As, 'o-', color='steelblue', markerfacecolor='lightblue', markersize=12)
+    xlim = plt.gca().get_xlim()
+    plt.semilogx((xlim[0], xlim[1]), (np.pi, np.pi), ':', linewidth=2.5, color='darkorange')
+    plt.xlabel('N', fontsize=14)
+    plt.ylabel('Area', fontsize=14)
+    plt.xticks(fontsize=12)
+    plt.yticks(fontsize=12)
+    plt.show()
+    return
+
+
+@app.cell
+def _():
+    return
+
+
+if __name__ == "__main__":
+    app.run()