pif_BezierCurve

by Popisfizzy
Generate sample points for drawing Bézier curves. [More]
To download this library for your Linux/Mac installation, enter this on your command line:

DreamDownload byond://Popisfizzy.pif_BezierCurve##version=1

Emulator users, in the BYOND pager go to File | Open Location and enter this URL:

byond://Popisfizzy.pif_BezierCurve##version=1

28 downloads
Version 1.1.20160422
Date added: Apr 12 2016
Last updated: Jul 24
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This project is available on GitHub!

Bézier curves are smooth parametric curves in arbitrary dimensions generated by a collection of n points. Their 'nice' behavior gives them many uses in computer graphics, and on top of that they look quite good too. They can also be naturally transformed by linear maps (i.e., linear transformations or matrix transformations) by simply transforming the n sample points.

Note: At this time, this library provides no means to actually draw the curve or produce an image of the curve, and instead simply outputs a list of points which the programmer must use to draw lines between in order to approximate the curve.

Example

Below is an example of how one could use this library to draw a Bézier curve for nine points with a "smoothness" (see documentation) of 50, where the points are: (0,0), (1,1), (2,2), (3,3), (4,4), (5,3), (6,2), (7,1), (8,0). This is assuming we have a DrawLine() method available that takes two points and draws a line between them.

var
    pif_BezierCurve/C = new(
        0,0 , 1,1 , 2,2 , 3,3 , 4,4 , 5,3 , 6,2 , 7,1 , 8,0
    )
    list/Curve

    last_x
    last_y

C.Smoothness(50)
Curve = C.Curve()

last_x = Curve[1]
last_y = Curve[2]

for(var/i = 1, i < C.Smoothness(), i ++)
    var
        new_x = Curve[2*i+1]
        new_y = Curve[2*i+2]

    DrawLine(last_x,last_y , new_x,new_y)

    last_x = new_x
    last_y = new_y


And below is what this curve looks like, along with the sample points used to generate it.



The MIT License
Copyright (c) 2016-2024 Timothy "popisfizzy" Reilly

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