mmcore 2D cases

Statement

Point can be:

1. Tuple of three floats tuple[float, float, float]

2. NumPy Array ndarray[3, float] or ndarray[(n,3), float]

3. List of floats length 3 list[float] (not recommended)

Description

We use a three-coordinate definition for the pointk even though the representation will be treated as a two-dimensional case. The third coordinate will be ignored. This is done for the following reasons:

• Often we need to perform an operation exactly with projections.

  For example, curves in space rarely intersect, and it is usually easy to understand this without resorting to intersection calculations.

• It allows us to use 2d representations as approximations.

  2d representations as approximations,in the three-dimensional case where it is allowed. For example, intersections of spheres, planes, or tangents to a sphere, can be obtained by decomposition into 2d cases.

• It increases uniformity.

  mmcore is a library working with 3D geometry in the first place. Anything that is computed in the plane in a local system will probably soon need to be represented in global or any other coordinates.