Update pages/Transformation.py

pages/Transformation.py

@@ -40,15 +40,82 @@ st.code(code,language="python")
 st.write("""
 Where:
 
-𝑥
 x: Input vector (original point coordinates).
 
-𝑦
 y: Output vector (transformed point coordinates).
 
-𝐴
 A: Transformation matrix (2x2 for 2D transformations).
 
-𝑏
 b: Translation vector.
-""")
+""")
+code=Example in 2D:
+Let 
+𝑥
+=
+[
+𝑥
+𝑦
+]
+x=[ 
+x
+y
+​
+ ], the affine transformation can be written as:
+
+[
+𝑥
+′
+𝑦
+′
+]
+=
+[
+𝑎
+𝑏
+𝑐
+𝑑
+]
+⋅
+[
+𝑥
+𝑦
+]
++
+[
+𝑡
+𝑥
+𝑡
+𝑦
+]
+[ 
+x 
+′
+ 
+y 
+′
+ 
+​
+ ]=[ 
+a
+c
+​
+  
+b
+d
+​
+ ]⋅[ 
+x
+y
+​
+ ]+[ 
+t 
+x
+​
+ 
+t 
+y
+​
+ 
+​
+ ]
+st.code(code,language="python")