Cubic Bzier Equation

Description: The functionexpressionformula of the cubic Bzier curve used extensively in vector graphics including SVG graphics used here It expresses the same cubic curves as those written in the formula in the graphic this is a remix of but it expresses them as a function of time hence the use of ft rather than fx here The time is not measured in seconds or any other units as it is simply telling a browser or other software what order to turn on individual pixels to display the vector graphic on a raster deviceIt moves from the point P0 to the point P3 while using P1 and P2 as control points It only does so for the values of t in the 01 set ie for 0 t 1 in other words for the values of both t 0 and t 1 at the same time There is of course an infinite number of such values so the browser typically divides the t repeatedly until there are no missing neighboring pixelsIn this graphic the expression is handwritten by yours truly

By: AdamStanislav

Date: 2018-01-22

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Cubic Bzier Equation sourced from Openclipart is licensed under CC0 1.0

* Note: Date might not match original source and might be an educated guess.