Barycentric Coordinates

Coordinate Frames:

• Vector oriented; Derived from linear space basis
• One point and n vectors in space of dimension n:
  • Vectors are linearly independent

Barycentric Frames

• Point oriented
• n+1 points in space of dimension n:
  • Points are in general position

Frames of Both Types Are Equivalent

• Express each as for

  

• And, of course, conversely