Fig 1.
Cubic Bézier-like curve for (ς, ζ) = (2,2).
Fig 2.
Cubic Bézier-like curve for same values of shape parameters, Green: (ς, ζ) = (1,1), Brown: (ς, ζ) = (1.5, 1.5), Red: (ς, ζ) = (2.3, 2.3), Black: (ς, ζ) = (3,3).
Fig 3.
Cubic Bézier-like curve for different values of shape parameters, Green: (ς, ζ) = (1, 1.2), Brown: (ς, ζ) = (1.3, 1.5), Red: (ς, ζ) = (1.7, 1.8), Black: (ς, ζ) = (2.2, 2.5).
Fig 4.
Rectangular Bézier-like surfaces with the same control net for different values of shape parameters ς = 1, ζ = 2 and ς1 = 2, ζ1 = 2.
Fig 5.
Rectangular Bézier-like surfaces with the same control net for different values of shape parameters ς = 2.5, ζ = 2.5 and ς1 = 2, ζ1 = 2.
Fig 6.
Rectangular Bézier-like surfaces with the same control net for different values of shape parameters ς = 3, ζ = 3 and ς1 = 3, ζ1 = 3.
Fig 7.
Quantic Bézier-like curve segments connected by parametric C3 continuity.
Fig 8.
Curvature plot of quantic Bézier-like curve segments.
Fig 9.
Cubic-quantic Bézier-like curve segments connected by parametric C3 continuity.
Fig 10.
Curvature plot of cubic-quantic Bézier-like curve segments.
Fig 11.
Cubic-quantic Bézier-like curve segments with geometric G3 continuity.
Fig 12.
Curvature plot of cubic-quantic Bézier-like curve segments.
Fig 13.
Quantic geometric G3 continuity.
Fig 14.
Curvature plot of quantic geometric G3 continuity.
Fig 15.
Effect on quantic parametric C3 continuity curves by changing the value of shape parameters.
Fig 16.
Effect on cubic-quantic geometric G3 continuity curves by changing the value of shape parameters.
Fig 17.
Two Bézier-like curves connected by C2 parametric continuity.
Fig 18.
Two Bézier-like curves connected by G2 geometric continuity.
Fig 19.
Curvature plot of C2 continuity curve segments.
Fig 20.
Curvature plot of G2 continuity curve segments.
Fig 21.
The cubic Bézier- like surface patches connected by G2 geometric surface continuity.
Fig 22.
The quantic Bézier- like surface patches joined by G2 geometric surface continuity.
Fig 23.
The cubic Bézier- like surfaces for f = 1.5, ς = ς* = 1.5, ζ = ζ* = 1.6.
Fig 24.
The cubic Bézier- like surfaces for f = 1.5, ς = ς* = 1.8, ζ = ζ* = 1.9.
Fig 25.
The cubic Bézier- like surfaces for f = 1.5, ς = ς* = 2.2, ζ = ζ* = 2.3.
Fig 26.
The cubic Bézier- like surfaces for f = 1.5, ς = ς* = 2.7, ζ = ζ* = 2.8.
Fig 27.
The quantic Bézier-like surface for f = 0.9, ς = ς* = 1.2, ζ = ζ* = 1.2.
Fig 28.
The quantic Bézier- like surface for f = 0.9, ς = ς* = 1.5, ζ = ζ* = 1.5.
Fig 29.
The quantic Bézier- like surface for f = 0.9, ς = ς* = 1.8, ζ = ζ* = 1.8.
Fig 30.
The quantic Bézier- like surface for f = 0.9, ς = ς* = 2, ζ = ζ* = 2.
Fig 31.
The quantic Bézier- like surface for f = 0.9, ς = ς* = 1.6, ζ = ζ* = 1.6.
Fig 32.
The quantic Bézier- like surface for f = 1.2, ς = ς* = 1.6, ζ = ζ* = 1.6.
Fig 33.
The quantic Bézier- like surface for f = 1.3, ς = ς* = 1.6, ζ = ζ* = 1.6.
Fig 34.
The quantic Bézier- like surface for f = 1.6, ς = ς* = 1.6, ζ = ζ* = 1.6.