Point Generation

Import the necessary module from the sydraw package:

from sydraw import synth

Model: Circles

Example: Generating Points from a Circle

This example demonstrates generating 10 randomly sampled points from a user-specified circle:

circle = synth.circle(radius=3.0, center=(1.0,1.0), n=10, noise_perc=0.02, homogeneous=True)

This code generates a NumPy array of 2D points in homogeneous coordinates. The points are sampled from a circle with a radius of 3 and a center at coordinates (1.0,1.0). The resulting array might look like this:

array([[-1.51779408, -0.63116921,  1.        ],
       [-1.83302435,  1.98690071,  1.        ],
       [-0.0106027 ,  3.82465612,  1.        ],
       [-0.32848561,  3.68981895,  1.        ],
       [-1.93858646,  0.39608805,  1.        ],
       [ 3.66809769, -0.37158839,  1.        ],
       [-0.54906204,  3.56912569,  1.        ],
       [ 3.88941592,  1.8070165 ,  1.        ],
       [ 2.56806854, -1.55756937,  1.        ],
       [ 3.88477601,  1.82344847,  1.        ]])

Dataset Generation

To generate a (single or multi-model) dataset of circles:

circle = synth.circles_dataset(nm=3, ns=400, n=1000, noise_perc=0.02, outliers_perc=0.20)

The code above returns a NumPy array with the shape (ns, n, 3), where: - ns is the number of samples (each sample is an array of data points). - n is the number of points in each sample. - The last axis of the array has a dimensionality of 3:

• The first two dimensions represent the x and y coordinates of the data points.
• The third dimension contains the class label.

Class labels are defined as follows: - 0: Outlier. - 1, 2, 3, etc.: Model class identifier.