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A fast and robust circle detection method using perpendicular bisector of chords

2013 25th Chinese Control and Decision Conference (CCDC), 2013
In this paper a new method to detect the center of a circle is proposed. This method uses pairs of perpendicular bisectors of each two no-repeat intersecting chords to calculate the intersection which is the center of the circle. It can overcome the drawbacks of deviation caused by edge points nonuniformly distributed by centroid method, and drawbacks ...
De Xu, Zhengtao Zhang
exaly   +2 more sources

Vorticity-Based Perpendicular-Bisector Grids for Improved Upscaling of Two-Phase Flow

SPE Journal, 2010
Summary Highly detailed geological models, which are primary inputs for reservoir simulators, necessitate a reduction in the number of grid-blocks used in the solution of flow equations. However, preparing a coarse-scale model that can mimic the fine-scale behavior is challenging. Cartesian grids suffer from some shortcomings, such as in
Hassan Mahani, Mahani H
exaly   +2 more sources

Implementation of a Vertex-Centered Method Inside an Industrial Reservoir Simulator: Practical Issues and Comprehensive Comparison With Corner-Point Grids and Perpendicular-Bisector-Grid Models on a Field Case

SPE Journal, 2017
Summary Corner-point grids (CPGs) and pillar-based unstructured grids do not provide an effective work flow for translating Earth models into simulation models. Such a work flow requires grids that allow an accurate representation of the near-well flow, preserve geological accuracy, and offer flexible resolution control.
Masson Roland
exaly   +2 more sources

Perpendicular bisectors and orthogonality

Archiv der Mathematik, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guijarro, P., Tomás, M. S.
openaire   +1 more source

A Refined Energy Bound for Distinct Perpendicular Bisectors

Annals of Combinatorics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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What’s New With Altitudes and Perpendicular Bisectors?

Mathematics Magazine, 2020
A triangle’s non-parallel altitudes and perpendicular bisectors intersect in six points. In this note, we describe three apparently little-known properties of these points.
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The perpendicular bisector construction

Geometriae Dedicata, 1995
\textit{J. Langr} veröffentlichte 1953 im Am. Math. Monthly 60, 551 (1953), Problem E 1050, folgende Vermutung: Die Mittellote \(b_i\) auf den Seiten \(a_i\) eines ebenen Vierecks \(Q_1\) mit den Ecken \((a_i a_{i+1})\) -- \(i \text{ mod.}4\) -- (\(\neq\) Sehnenviereck eines Kreises) bilden ein Viereck \(Q_2\) mit den Ecken \((b_i b_{i + 1})\).
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Perpendicular bisectors, duality and local symmetry of plane curves

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1995
For a smooth, simple closed curve α in the plane, the perpendicular bisector map P associates to each pair of distinct points (p, q) on α the perpendicular bisector of the chord joining p and q. To a pair (p, p), the map P associates the normal to α at p.
Giblin, Peter, Tari, Farid
openaire   +2 more sources

Teaching the Perpendicular Bisector: A Kinesthetic Approach

The Mathematics Teacher, 2011
Through movement-a welcome change of pace-students explore the properties of the perpendicular bisector.
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Tips For Beginners: Altitudes, medians, angle bisectors, and perpendicular bisectors of the sides of triangles

The Mathematics Teacher, 1963
Students have some difficulty with the concepts and constructions of the altitudes, the perpendicular bisectors of the sides, the medians, and the angle bisectors of the triangle. Some students seem to show little understanding of the words of the definitions, and the mechanics of straightedge and compass construction often do not help to clarify their
openaire   +1 more source

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