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raygeo.ops.cut.crescent

Functions​

cut_area()​

cut_area(
    c1: tuple[float, float],
    c2: tuple[float, float],
    radius: float,
    fragments: Sequence[Sequence[tuple[float, float]]],
    valid_area: Sequence[Sequence[tuple[float, float]]],
) -> tuple[float, float]

Area of disk(c2) − disk(c1) − fragments, intersected with valid_area.

Returns (total, left) where left is the portion on the left side of the step vector c1 → c2.

ParameterTypeDescription
c1tuple[float, float]Previous centre (x, y).
c2tuple[float, float]Next centre (x, y).
radiusfloatDisk radius (mm).
fragmentsSequence[Sequence[tuple[float, float]]]List of polygons (cleared fragments).
valid_areaSequence[Sequence[tuple[float, float]]]Valid region polygons (intersection).
Returnstuple[float, float](total_area, left_area) (mm²).

Disk increment (in red) produced by stepping a disk from C1 to C2. Left panel shows the full increment; right panel shows the reduction when a cleared fragment (gray) occupies part of the increment.

Disk increment (in red) produced by stepping a disk from C1 to C2. Left panel shows the full increment; right panel shows the reduction when a cleared fragment (gray) occupies part of the increment.

Crescent area as a function of step distance compared with the analytical crescent formula. Right panel shows the left-side portion (half of total for the symmetric case).

Crescent area as a function of step distance d compared with the analytical crescent formula. Right panel shows the left-side portion (half of total for the symmetric case).

2D heatmap of as the centre is moved across a grid around . The dashed circle shows ; the area is zero when coincides with and maximal at intermediate distances.

2D heatmap of cut_area as the c2 centre is moved across a grid around c1. The dashed circle shows Disk(c1); the area is zero when c2 coincides with c1 and maximal at intermediate distances.

Effect of a vertical-wall fragment sweeping across the crescent. Left panel shows the geometry at one wall position; the right panel plots total and left area vs wall , demonstrating smooth continuity.

Effect of a vertical-wall fragment sweeping across the crescent. Left panel shows the geometry at one wall position; the right panel plots total and left area vs wall x, demonstrating smooth continuity.

Crescent clipped to different polygons: no clip (full), a left-half window, and a window around the crescent tip. The faint gray shape is the unclipped crescent reference.

Crescent clipped to different valid_area polygons: no clip (full), a left-half window, and a window around the crescent tip. The faint gray shape is the unclipped crescent reference.