This tool allows you to transform coordinates between different reference systems using Helmert transformation methods.

Input Format:

Enter coordinates with values separated by spaces, one point per line:

• For 2D coordinates: X Y
• For 3D coordinates: X Y Z

Transformation Types:

• 3-Parameter: Translation only (ΔX, ΔY, ΔZ)
• 4-Parameter: Translation + Scale (ΔX, ΔY, ΔZ, scale)
• 7-Parameter: Translation + Rotation + Scale (ΔX, ΔY, ΔZ, rotation X, rotation Y, rotation Z, scale)

Transformation Formulas:

3-Parameter: X₂ = X₁ + ΔX, Y₂ = Y₁ + ΔY, Z₂ = Z₁ + ΔZ

4-Parameter: X₂ = X₁ × scale + ΔX, Y₂ = Y₁ × scale + ΔY, Z₂ = Z₁ × scale + ΔZ

7-Parameter: Applies translation, rotation, and scale in a single transformation matrix