Parameterization Method on B-Spline Curve

Table 1

Comparison among parameterization methods.

Parameterization Method	Advantages	Disadvantages
Uniform [6]	The parameter value is easy to calculate	In many cases, interpolation between edit points is not as good and can lead to unpredictable stretching of textures during rendering.
Chord length [10]	Minimizes stretching and squeezing of textures	A large bulge and twists away from the data point polygon may be generated.
Centripetal [11]	In some cases, may make smoother objects. On surface of very evenly spaced control points, it may give slightly better texture mapping results	A small loop may be produced.
Exponential [7]	Can freely select the resulting curve, in other word, generalization of uniform, chord length, and centripetal method	Difficult to find the suitable value of 𝛼 for better curve result
Universal [8]	Affine invariant	Similar to uniform parameterization method
Hybrid [9]	Give better accuracy	Unstable and more computation effort due to the calculation of centripetal and chord length method.