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A Note on Monotone Polygons Fitted to Bivariate Data

Psychometrika, 1976
The monotone regression function of Kruskal and the rank image function of Guttman and Lingoes were fitted to bivariate normal samples and their statistical properties contrasted.
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Triangulating a monotone polygon in parallel

1988
Given a simple n-sided polygon, the triangulation problem is to partition the interior of the polygon into n — 2 triangles by adding n — 3 nonintersecting diagonals. We propose an O(log n)-time algorithm for triangulating monotone n-sided polygons using only n/log n processors in the CREW-PRAM model.
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Euler Polygonal Lines for Itô Equations with Monotone Coefficients

Theory of Probability & Its Applications, 1988
See the review in Zbl 0624.60072.
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Monotonic Polygons and Paths in Weighted Point Sets

2011
Let P be a set of n points such that each of its elements has a unique weight in {1, …,n}. P is called a wp-set. A non-crossing polygonal line connecting some elements of P in increasing (or decreasing) order of their weights is called a monotonic path of P. A simple polygon with vertices in P is called monotonic if it is formed by a monotonic path and
Toshinori Sakai, Jorge Urrutia
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A new linear algorithm for triangulating monotone polygons

Pattern Recognition Letters, 1984
Summary: Let \(P=(p_ 1,p_ 2,...,p_ n)\) be a monotone polygon whose vertices are specified in terms of cartesian coordinates in order. A new simple two-step procedure is presented for triangulating P, without the addition of new vertices, in O(n) time.
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PolyBuilding: Polygon transformer for building extraction

ISPRS Journal of Photogrammetry and Remote Sensing, 2023
Yuan Hu, Zhou Huang
exaly  

Testing a simple polygon for monotonicity

Information Processing Letters, 1981
Franco P. Preparata, Kenneth J. Supowit
openaire   +1 more source

Polygon scaled boundary finite elements for crack propagation modelling

International Journal for Numerical Methods in Engineering, 2012
Chongmin Song, Zhenjun Yang
exaly  

Isotopic insights into methane production, oxidation, and emissions in Arctic polygon tundra

Global Change Biology, 2016
Lydia J Smith   +2 more
exaly  

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