Bezier Curve Calculator

Calculate points along Bezier curves using control points. The parameter t ranges from 0 (start) to 1 (end) and determines position along the curve. Worked example: with P₀ = (0, 0), P₁ = (0, 2), P₂ = (2, 2), P₃ = (2, 0), t = 0.5 gives B = 0.125·P₀ + 0.375·P₁ + 0.375·P₂ + 0.125·P₃ = (1, 1.5).

1. 1

   Step 1

   Select curve type (Quadratic or Cubic)

2. 2

   Step 2

   Enter control point coordinates

3. 3

   Step 3

   Set the parameter t value (0 to 1)

4. 4

   Step 4

   View the calculated point on the curve

• 1

  t=0 gives the starting point P0 and t=1 gives the ending point

• 2

  A quadratic curve needs 3 points and a cubic needs 4 points

• 3

  Control points define the curve shape but the curve does not necessarily pass through them

• 4

  Bezier curves are the foundation of SVG files and TrueType fonts

• 5

  Multiple Bezier curves can be connected to create complex shapes

• Entering a t value outside the 0-1 range

• Confusing control points with pass-through points

• Not understanding that the curve does not pass through middle control points

• Using a quadratic curve for shapes that need more flexibility