#BEZIER CURVE JAVASCRIPT GENERATOR#
#BEZIER CURVE JAVASCRIPT CODE#
#BEZIER CURVE JAVASCRIPT WINDOWS#

#BEZIER CURVE JAVASCRIPT GENERATOR#

You've got an unnecessary generator expression here: def bezier_curve(control_points, number_of_curve_points): that could be used directly in the return statement without going through an assignment? ( control_points is an expression but doesn't fail when there's more than one element in control_points.)

Is there any good alternative that's an expression, i.e.

Is this readable and comprehensible enough or too obscure?.

About the destructuring assignment result, = control_points to unpack the single point while at the same time making sure it really is exactly one point.

Performance for large outputs (large number_of_curve_points) might be relevant.

cubic BР“В©zier with three control points per curve) will probably be more relevant than performance at high degrees (many control points per curve) Performance for low degrees (e.g., degree 2, i.e.Did I go foul of any performance (computation speed, memory usage, etc.) no gos? (It doesn't need to be super-fast, but it shouldn't be unnecessarily slow if I can avoid it.).Could / should the readability and comprehensibility of this implementation be improved?.Using standard library functions should be fine, so if any part of the implementation could benefit from them, please point that out. As I'm unsure which Python libraries are available in QGIS (and the answer to that seems to be platform-dependent), I'd like to avoid external libraries (those that would have to be installed with pip or one of its alternatives) completely. (usually) aren't available to QGIS plugins. Probably any sequencey container will work.) Why pure Python?Р”В«ecause I want this to be usable in a QGIS plugin, but SciPy, NumPy, etc. numpy.array with shape (n, 2), where n is the number of control points.Some examples that work as control_points: With a value according to vector addition (i.e., component-wiseР”Р„ddition of the points' Cartesian coordinates) Adding two points shall result in a point of the same dimension and.

(i.e., multiply each of the point's Cartesian coordinates with the scalar)

Multiplying a point by a scalar shall result in a point of the sameР”Вimension and with a value according to vector-scalar multiplication.

points shall all be of the same dimension.

They must be of the same type of mutually compatible types fulfilling the following rules: The elements of control_points represent the control points of the BР“В©zier curve. I / (number_of_curve_points - 1) for i in range(number_of_curve_points)Р”В¬ontrol_linestring = zip(control_points, control_points)

#BEZIER CURVE JAVASCRIPT CODE#

You can run the program here or view the code here.I came up with this recursive pure-Python implementation of De Casteljau's algorithm for computing points on a BР“В©zier curve: def bezier_curve(control_points, number_of_curve_points):

#BEZIER CURVE JAVASCRIPT WINDOWS#

The curve is created between them.Р’В Learning about these curves makes me remember the old Windows screensaver РІР‚Сљ beziersРІР‚Сљ. The starting and ending points, a and b, and the curve control point, c, move randomly to a new location every time they get close to the last one. I wrote a JavaScript program to create a rainbow fromР’В BР“В©zier curves slowly moving around the screen (itРІР‚в„ўs really only oneР’В BР“В©zier curve, duplicated 5 times). As we move a point along from a to c, and from c to b at the same time, we can draw a line between them, and as we move across this line, we trace ourР’В BР“В©zier curve. What I got out of it was this: if we have the x and y coordinates of points a, c, and b we can create a quadraticР’В BР“В©zierР’В curve from them. I decided to learn more aboutР’В BР“В©zier curves, so I read this excellent Wikipedia articleР’В about them.Р’В The part that I usedР’В the mostР’В shows animated diagrams ofР’В BР“В©zier curve formation.

Bezier curve javascript