Algorithm -- Monotone Decomposition -- Vertex Types

• vertex types
• regular vertex -- one neighbor above it, one neighbor below it
• turn vertices

 

vertex type	neighbors	interior angle
start	below	< p
end	above	< p
split	below	> p
merge	above	> p

• p below q :  p_y < q_y or (p_y = q_y and p_x > q_x)
• p above q :  p_y > q_y or (p_y = q_y and p_x < q_x)

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