Model cuts as polylines, not horizontal lines
Page 1 of Engel (Bosse/Partitura) has a boxed VERSE 1 label in the left margin at the same rows as the preceding system's bass lyric line — ink on both sides of the page throughout the band, so no horizontal line separates them. The label belongs to system 2, the lyrics to system 1. A cut is therefore a polyline spanning the page, two points being the ordinary straight case. A slice bounded by a non-straight cut is not rectangular: its image is the region's bounding box with everything outside made transparent, which composites invisibly on the viewer's sheet. Masking paints transparency, never white.
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@@ -89,9 +89,24 @@ cuts at the page edges. Modelling a slice as "the region between two cuts" leaks
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page 2 has no header, so it would need an invented top cut whose position depends
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on whether that page happens to have one.
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Cut placement is forgiving — anywhere inside the whitespace gap yields the same
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Cut placement is forgiving — anywhere inside the whitespace yields the same
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output, because trim crops to ink afterwards.
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**A cut is a polyline, not a line.** Two points — a straight horizontal
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boundary — is the ordinary case and what detection proposes. Extra vertices exist
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because publishers routinely print a section label in the left margin at the same
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height as the *previous* system's lyrics. On page 1 of *Engel* (Bosse/Partitura
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edition), the boxed `VERSE 1` label and the preceding system's bass lyric line
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occupy the same rows: ink is present on both sides of the page throughout that
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band, so no horizontal line separates them. `VERSE 1` belongs to system 2, the
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lyrics to system 1. The cut has to step — above the label on the left, below the
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lyrics on the right.
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A slice bounded by a non-straight cut is **not rectangular**. Its image is the
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bounding box of the region, with everything outside the region made transparent.
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That composites invisibly on the viewer's sheet, so nothing downstream needs to
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know. This is also why masking must paint transparency rather than white.
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### Content rectangle
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The region of a page that holds music, set per PDF and adjustable per page,
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