Description: A knot vector is a sequence of points that defines the parameterization of a spline, which is a smooth curve used in computer graphics and 3D modeling. Each knot in the vector represents a point that influences the shape of the spline, allowing designers and digital artists to manipulate the curve precisely. Knot vectors are fundamental in creating complex geometries, as they enable interpolation between control points, generating smooth and natural transitions. The number and arrangement of knots directly affect the flexibility and shape of the spline, providing detailed control over the design. In the context of 3D rendering, knot vectors are essential for creating surfaces and trajectories, facilitating animation and modeling of three-dimensional objects. Their use extends to various applications in computer graphics, modeling software, and animation systems, where precision and fluidity are crucial for user experience.
