Pointpaths

Pointpaths are a concept used in computer graphics and computational geometry to describe a sequence of connected points in space. Essentially, a pointpath is a path traced by a point as it moves through a defined trajectory. This trajectory is represented by a series of discrete points, often referred to as vertices. The simplest form of a pointpath is a straight line connecting two points, but pointpaths can also be complex curves made up of many points.

The term pointpath is not a universally standardized term and may be used interchangeably with related concepts like polylines, splines, or curves, depending on the specific context and application. In many graphics software packages, a pointpath can be manipulated by adding, deleting, or moving its constituent points. This allows for the creation and modification of shapes, strokes, and animation trajectories.

Pointpaths are fundamental building blocks for various graphical elements. They can define the outline of 2D shapes, the skeleton of 3D models, or the motion of objects over time in animations. The mathematical representation of a pointpath can vary. A polyline is a series of line segments connecting the points, while a spline uses mathematical functions to create smooth curves that pass through or near the specified points. The choice of representation depends on the desired level of smoothness and control over the path's shape.