splinei

splinei is a term that refers to a curve defined by a sequence of control points. These curves are a fundamental concept in computer graphics and computer-aided design (CAD) due to their flexibility and smooth nature. Unlike simpler curves like straight lines or circular arcs, splines can represent complex, organic shapes.

The most common types of splines are Bézier curves and B-splines. Bézier curves are defined by a set of control points, where the start and end points are on the curve, and the intermediate points influence the curve's shape without necessarily lying on it. B-splines, on the other hand, offer more local control, meaning that moving one control point only affects a portion of the curve, making them easier to manipulate for intricate designs.

Splines are widely used in various applications. In animation, they allow for smooth transitions and movement paths for objects. In graphic design, they are essential for creating logos, illustrations, and typography. In engineering and manufacturing, splines enable the precise design of complex surfaces for parts, vehicles, and industrial equipment. The mathematical foundation of splines involves polynomial functions, which allow for a high degree of continuity and smoothness, contributing to their visual appeal and practical utility.