Bezier Splines Simulator

In the numerical analysis can be found Bezier curves in the chapter "parametrically modeled curves" before.This app is preferably designed for students of computer science and mathematics,drawing, showing exemplary to Bezier curves and be able to modify.They are named after Pierre Bezier, a developer with the French car company Renault.This she developed in the early 1960s for the purpose of body designs for thecomputer-aided design of automobiles.Already a few years earlier and independently of Bezier Paul de Casteljau developed the same proceduresat Citroen.
To his chagrin, he was not allowed to publish the developments and graphstherefore bear the name of Bezier.Bezier curves are a special form of polynomial curvesand are determined by a certain number of control points.For the mathematical description of Bezier curves and their checkpointsUsing the named after the mathematician Sergei N.
Bernstein Bernstein polynomial.It should be mentioned that the curve does not go through all the checkpoints,but is only influenced by them.Bernstein polynomial are unsuitable for the graphical representation of a Bezier curve,because its calculation is too time consuming.
Instead, get in this app theDe Casteljau algorithm used.
It determines the coordinates of aCurve point by successive division of the control polygon.In summary it can be said that Bezier curves historicallysignificant model for representing free-form curves and Areas.Their calculation can be done quickly and easily in the most common programming languages.Not for nothing is found in almost every lecture on "Computer Graphics"treatment before this thread.With the help of this app you can carry out the representation of a Bezier curve interactive.The app supports three modes:Entering basesThe moving individual support pointsDeleting individual basesWith the "Clear" menu entry, the entire contents of the canvas can be deleted.The resolution of the Bezier curve (the number of calculated curve points)can be set with a slider bar at the bottom.A special feature is the checkbox "Show Construction".
In order the operation of the algorithmto demonstrate de Casteljau, in this display mode for the constructionthe current Bezier point calculated points of Casteljau scheme additionally indicated.As this is only possible for a certain parameter t in the interval [0,1],there is at the bottom of a second shift bar for this parameter.The following screen shots can be found in the basic functioning of the app.Version 1.1 New Features / New Functions:The app now supports both languagesGerman and English - Support for two languages ​​German and English is provided.The resolution of the splines on devices with different resolution has been improved / Improvements and bug fixes gemäß to the device resolution are provided.Enhancements to the online documentation / online documentation added.Line width adjustable / Stroke Width setting provided.Version 2.0 New Features / New Functions:The drawing of Bezier splines can be supported by gridlines now / Drawing of Bezier splines may now be supported by a snap-to-grid view.Version 3.0 New Features / New Functions:With menu items "Save" and "Load" the current spline is stored in the SharedPreferences the app or restored.
The app was further extended by a so-called "Bezier console" (textual representation of the control points).The current spline can now be stored in the shared preferences of the app.
Further More a "Bezier Console" (textual view of all control points) has been provided.Have fun!
- Have fun!