Bézier Curves (1)
What are the points that control the shape of a Bézier curve called?
Control points
The "R" in NURBS stands for this word.
Rational
What are the two parameters of a Bézier surface S(..., ...)?
u and v
What is the starting polygon mesh in subdivision called?
Control mesh
What is the name of the polynomials used in the Bézier curve formula?
Bernstein polynomials
What is the sequence of values that divides a B-spline's parameter domain into intervals called?
The knot vector
How many control points does a bicubic Bézier patch have?
16
What algorithm cuts off polygon corners to create a smoother curve?
Chaikin's algorithm
A Bézier curve always passes through these two control points.
The first and the last
What is the property called when moving one control point affects only part of a curve?
Local control
What is the size of the control-point grid for a bicubic Bézier patch?
4x4
Which two fractions does Chaikin's algorithm use to place new points along each edge?
1/4 and 3/4
What algorithm can be used to calculate a point on a Bézier curve step by step?
De Casteljau's algorithm
What value can be increased to pull a NURBS curve closer to a control point?
Weight
What is the mathematical method used to combine curves in two directions to create a surface?
Tensor product
Which subdivision scheme is designed for triangular meshes?
Loop subdivision
Given three control points P0=(0,0), P1=(4,4), and P2=(8,0), calculate the Bézier curve point at t=0.5 using the Bézier formula.
(4, 2)
Which curve type can represent a perfect circle exactly: NURBS or an ordinary polynomial Bézier curve?
NURBS
What is the process of dividing a surface into triangles before rendering called?
Tessellation
Which subdivision scheme is commonly used with quad meshes?
Catmull–Clark subdivision