Algorithm (Workflow)

This function, PLtrans1, is designed to transform a given point list into the first quadrant of a 2D coordinate system. The function is part of the SolidGeometry library and was introduced in version 2.1.

Input Parameters

• PL: A point list represented as an nx2 matrix, where each row corresponds to a point in 2D space with x and y coordinates.

Output Results

• PL: The transformed point list, also an nx2 matrix, with all points moved into the first quadrant.

Algorithm Steps

1. The function VLaddz is called with the input point list PL and a second argument 0. This function likely adds a third dimension (z-coordinate) with a value of 0 to each point, converting the nx2 matrix into an nx3 matrix.
2. The resulting matrix is then passed to the function VLtrans1. This function is responsible for transforming the points such that they are moved into the first quadrant. The exact transformation logic is encapsulated within VLtrans1.
3. After the transformation, the function extracts the first two columns of the resulting matrix using PL(:,1:2), effectively removing the added z-coordinate and returning the points to a 2D space.

The function does not contain any switch conditions or additional parameters beyond those described. The primary purpose is to ensure that all points in the input list are positioned in the first quadrant, which is typically defined as the region where both x and y coordinates are positive.