title: 1D Hermite Cubic Splines with tangents of zero - how to make it look smoother
body: <p>I am given 3 values <code>y0</code>, <code>y1</code>, <code>y2</code>.  They are supposed to be evenly spaced, say <code>x0 = -0.5</code>, <code>x1 = 0.5</code>, <code>x2 = 1.5</code>.  And to be able to draw a spline through all of them, the derivatives at all points are said to be <code>dy/dx = 0</code>.</p>
  
  <p>Now the result of rendering two Catmull-Rom-Splines (which is done via GLSL fragment shader, including a nonlinear transformation) looks pretty rigit.  I.e. where the curve bends, it does so smoothly, though, but the bending area is very small.  Zooming out makes the bends look too sharp.</p>
  
  <p>I wanted to switch to TCB-Splines (aka. Kochanek-Bartels Splines), as those provide a tension parameter - thus I hoped I could smooth the look.  But I realized that all TCB-Parameters applied to a zero tangent won't do any good.</p>
  
  <p>Any ideas how I could get a smoother looking curve?</p>