From bc4602eb7d922072f2e53a7a0f6228b007ec7c36 Mon Sep 17 00:00:00 2001
From: zimmersandro <sandro.zimmermann@stud.fhgr.ch>
Date: Tue, 2 Jun 2026 21:42:26 +0200
Subject: [PATCH] Bildkompression mit SVD

---
 ...HGR_CDS_Nume_E_PYNU_SVD_Bildkompression.py | 44 +++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100644 src/FHGR_CDS_Nume_E_PYNU_SVD_Bildkompression.py

diff --git a/src/FHGR_CDS_Nume_E_PYNU_SVD_Bildkompression.py b/src/FHGR_CDS_Nume_E_PYNU_SVD_Bildkompression.py
new file mode 100644
index 0000000..f175edc
--- /dev/null
+++ b/src/FHGR_CDS_Nume_E_PYNU_SVD_Bildkompression.py
@@ -0,0 +1,44 @@
+# Python
+# AUEM
+# 2026-05-06
+# Begin
+# --------------------------------------------------------------------------------------
+# Python initialisieren:
+from PIL import Image, ImageOps
+import matplotlib.pyplot as pl
+import numpy as np
+
+# Parameter:
+N = 10
+sc_r = 100
+pr = 3
+fig = 1
+# Import:
+img = Image.open("./Bild.JPG")
+img_sw = ImageOps.grayscale(img)
+A = np.asarray(img_sw)
+# Berechnungen;
+[U, S, Vt] = np.linalg.svd(A)
+U_red = U[:, :N]
+S_red = S[:N]
+Vt_red = Vt[:N, :]
+A_red = U_red @ np.diag(S_red) @ Vt_red
+G = A.size
+G_red = U_red.size + S_red.size + Vt_red.size
+r = G_red / G
+# Anzeige der Bilder:
+fh = pl.figure(fig)
+pl.imshow(A, cmap="gray")
+fig = fig + 1
+fh = pl.figure(fig)
+pl.imshow(A_red, cmap="gray")
+# Ausgabe:
+print("--------------------------------------------------")
+print(__file__)
+print("--------------------------------------------------")
+print(f"Groesse original:        G = {G}")
+print(f"Groesse komprimiert: G_red = {G_red}")
+print(f"Datenkompression:        r = {r*sc_r:#.{pr}g}%")
+print("--------------------------------------------------")
+# --------------------------------------------------------------------------------------
+# End