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Rotating calipers information


Sequence of probes around the convex hull of a polygon to determine its diameter using Rotating Caliper method.

In computational geometry, the method of rotating calipers is an algorithm design technique that can be used to solve optimization problems including finding the width or diameter of a set of points.

The method is so named because the idea is analogous to rotating a spring-loaded vernier caliper around the outside of a convex polygon.[1] Every time one blade of the caliper lies flat against an edge of the polygon, it forms an antipodal pair with the point or edge touching the opposite blade. The complete "rotation" of the caliper around the polygon detects all antipodal pairs; the set of all pairs, viewed as a graph, forms a thrackle. The method of rotating calipers can be interpreted as the projective dual of a sweep line algorithm in which the sweep is across slopes of lines rather than across x- or y-coordinates of points.

  1. ^ "Rotating Calipers" at Toussaint's home page

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Rotating calipers

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such distance. Both quantities can be calculated efficiently using rotating calipers. For a curve of constant width such as the Reuleaux triangle, the...

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Minimum bounding box

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orientation of the result. Minimum bounding box algorithms based on the rotating calipers method can be used to find the minimum-area or minimum-perimeter bounding...

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Sweep line algorithm

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some sweep line algorithms to be performed more efficiently. The rotating calipers technique for designing geometric algorithms may also be interpreted...

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Convex hull

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a number of other computational-geometric algorithms such as the rotating calipers method for computing the width and diameter of a point set. Several...

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Algorithmic paradigm

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Recursion Prune and search Kernelization Iterative compression Sweep line algorithms Rotating calipers Randomized incremental construction p. 702 p. 9...

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Disc brake

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A disc brake is a type of brake that uses the calipers to squeeze pairs of pads against a disc or a rotor to create friction. There are two basic types...

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Minimum bounding box algorithms

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enumerate boxes of this kind in linear time with the approach called rotating calipers by Godfried Toussaint in 1983. The same approach is applicable for...

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Michael Ian Shamos

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line algorithm for line segment intersection detection and for the rotating calipers technique for finding the width and diameter of a geometric figure...

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Computational geometry

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the transformation between two point sets to optimally align them. Rotating calipers: determine all antipodal pairs of points and vertices on a convex...

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List of algorithms

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the transformation between two point sets to optimally align them. Rotating calipers: determine all antipodal pairs of points and vertices on a convex...

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Thrackle

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generalizing this problem. In computational geometry, the method of rotating calipers can be used to form a linear thrackle from any set of points in convex...

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Opaque set

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like the optimal connected barrier for a circle. The algorithm uses rotating calipers to find the supporting line for which the length of the resulting...

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available included a McIntosh sound system, racing stripes, painted brake calipers, and BBS forged alloy wheels adding US$13,500 to the MSRP. The Ford GT...

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Master cylinder

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the stationary brake pad(s) create friction against that rotating surface (typically the rotating surface is metal or ceramic/carbon, for their ability to...

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Honda CBR600RR

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adjustable inverted front forks, disc brakes with radial-mounted four-piston calipers, and a new aluminum frame, swingarm and rear shock. The midrange power...

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Drum brake

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friction caused by a set of shoes or pads that press outward against a rotating bowl-shaped part called a brake drum. The term drum brake usually means...

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Ferrari 575M Maranello

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measuring 15.7 inches with six-piston calipers at the front and discs measuring 14.2 inches with four-piston calipers at the rear. Introduced in 2005, the...

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Ducati Hypermotard

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racing wheels wear dual radially mounted Brembo four-piston, two-pad brake calipers matched with 305 mm discs up front, and a 245 mm disc with two-piston caliper...

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Audi RS 6

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suspension. The front brakes feature fixed Brembo 8-piston monoblock brake calipers, working with radially vented and cross-drilled brake discs, sized at 365...

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Metalworking

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tools are used the work piece stops rotating and the driven tool executes the machining operation with a rotating cutting tool. The CNC machines use x...

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threaded, banjo fittings have the advantage that they do not have to be rotated relative to the host fitting. This avoids damage that can be caused by...

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Ducati Panigale V4

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speed cornering. Ducati and Brembo designed 70 g (2.5 oz)-lighter brake calipers than the 1299's. The bike's tires, the Diablo Super Corsa SP developed...

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Audi RS 4

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2 in) diameter and 32 mm (1.26 in) thick, with double-piston floating calipers, and at the rear 312 mm (12.3 in) by 22 mm (0.87 in) discs with a single-piston...

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Mitsubishi Lancer WRC

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corner. The brakes are vented discs clamped by 6-piston calipers at the front and 4-piston calipers at the rear. The car debuted at the 2002 Rally Finland...

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