Computer Graphics20815 marksParametric cubic curves
Explain about parametric cubic curve with its properties.
Explain about parametric cubic curve with its properties. [5]
A parametric cubic curve is a curve defined by cubic polynomial equations in parametric form: x(t) = a₀ + a₁t + a₂t² + a₃t³ y(t) = b₀ + b₁t + b₂t² + b₃t³ where t is a parameter (typically t ∈ [0,1]), and a₀, a₁, a₂, a₃, b₀, b₁, b₂, b₃ are coefficients that define the curve's shape. For 3D curves,...