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Parodontitis je oboljenje potpornog aparata zuba za čiji je razvoj nužna prisutnost mikroorganizama, odnosno mikrobni plak. Parodont je funkcijska cjelina pojedinih tkiva koja podupiru zub... Više >>

 
Geometrically based analytical method PDF Ispis E-mail


Mathematical principles underlying the method

...

In mathematics, a curvature is described by means of

hypothetical circles.

The curvature at a specific point (x0) is described by selecting a circle that is optimally adapted to

the configuration of the curve at that point (x0).

The

smaller the curvature, the larger the hypothetical circle.

The curvature dimension at a point (x0) is specified by the

reciprocal value of the radius of the corresponding hypothetical circle:


 

Before analytical methods can be used to investigate

root canal curvature,

a mathematical model of the configuration of the curve has to be produced for the inner

(small) curve and the outer (large) curve.

The actual configuration of the canal wall is described by specifying x,y

coordinates of selected measuring points.

Using this point sequence, an equalising function describing the configuration

in mathematical terms can be determined.

The quality of the adaptation of the equalising function to the point sequence is described by the so-called degree of accuracy

(correlation coefficient).

The less this dimension deviates

from 1, the better the adaptation.

Use of the equalising function adapted to the configuration of the long axis of the canal permits exact determination of the curvature for each point x and for the point of maximum curvature, as well as the mean curvature of the measured canal section. In the formula used, the configuration ascertained for the curve is designated y(x), and the

pertinent curvature function k(x).

The distance of the point of maximum curvature from

the apical foramen can also be calculated by means of the

 

 

...

 

Zadnja Promjena ( Petak, 23 Svibanj 2008 )
 
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