2D de Casteljau algorithm

index.js

function deCasteljauAlgorithm(points, t) {
  if (t === 1) return points[points.length - 1];
  if (t === 0 || points.length === 1) return points[0];

  const calculatedPoints = [];

  for (let i = 1; i < points.length; i++) {
    const [p1X, p1Y] = points[i - 1];
    const [p2X, p2Y] = points[i];

    calculatedPoints.push([
      p1X + (p2X - p1X) * t,
      p1Y + (p2Y - p1Y) * t
    ]);
  }

  return deCasteljauAlgorithm(calculatedPoints, t);
}

// Usage
console.log(deCasteljauAlgorithm([[0, 0], [0.5, 0.5], [1, 0]], 0.5));