Python Matplotlib矩形装箱

Question

我有一系列（x，y）值，我想用python的matplotlib绘制二维直方图。使用hexbin，我得到这样的结果： 但我在找这样的东西： 示例代码：

from matplotlib import pyplot as plt
import random

foo = lambda : random.gauss(0.0,1.0)

x = [foo() for i in xrange(5000)]
y = [foo() for i in xrange(5000)]

pairs = zip(x,y)

#using hexbin I supply the x,y series and it does the binning for me
hexfig = plt.figure()
hexplt = hexfig.add_subplot(1,1,1)
hexplt.hexbin(x, y, gridsize = 20)

#to use imshow I have to bin the data myself
def histBin(pairsData,xbins,ybins=None):
    if (ybins == None): ybins = xbins
    xdata, ydata = zip(*pairsData)
    xmin,xmax = min(xdata),max(xdata)
    xwidth = xmax-xmin
    ymin,ymax = min(ydata),max(ydata)
    ywidth = ymax-ymin
    def xbin(xval):
        xbin = int(xbins*(xval-xmin)/xwidth)
        return max(min(xbin,xbins-1),0)
    def ybin(yval):
        ybin = int(ybins*(yval-ymin)/ywidth)
        return max(min(ybin,ybins-1),0)
    hist = [[0 for x in xrange(xbins)] for y in xrange(ybins)]
    for x,y in pairsData:
        hist[ybin(y)][xbin(x)] += 1
    extent = (xmin,xmax,ymin,ymax)
    return hist,extent

#plot using imshow
imdata,extent = histBin(pairs,20)
imfig = plt.figure()
implt = imfig.add_subplot(1,1,1)
implt.imshow(imdata,extent = extent, interpolation = 'nearest')

plt.draw()
plt.show()

似乎已经有一种方法可以做到这一点，而不必编写自己的“binning”方法并使用imshow。

Answer 1

我刚刚提交了这个https://github.com/matplotlib/matplotlib/pull/805的请求。希望能被接受。

Answer 2

我意识到有一个补丁提交给matplotlib，但我采用了另一个示例中的代码来满足我的一些需求。

现在直方图是从左下角开始绘制的，就像传统的数学（不是计算）一样

此外，binning范围之外的值将被忽略，我将二维numpy数组用于二维数组

我将数据输入从成对更改为两个1D数组，因为这是数据被提供给散点（x，y）和类似函数的方式

def histBin(x,y,x_range=(0.0,1.0),y_range=(0.0,1.0),xbins=10,ybins=None):
    """ Helper function to do 2D histogram binning
        x, y are  lists / 2D arrays 
        x_range and yrange define the range of the plot similar to the hist(range=...) 
        xbins,ybins are the number of bins within this range.
    """

    pairsData = zip(x,y)

    if (ybins == None):
        ybins = xbins
    xdata, ydata = zip(*pairsData)
    xmin,xmax = x_range
    xmin = float(xmin)
    xmax = float(xmax)

    xwidth = xmax-xmin
    ymin,ymax = y_range    
    ymin = float(ymin)
    ymax = float(ymax)
    ywidth = ymax-ymin

    def xbin(xval):
        return floor(xbins*(xval-xmin)/xwidth) if xmin <= xval  < xmax else xbins-1 if xval ==xmax else None


    def ybin(yval):
        return floor(ybins*(yval-ymin)/ywidth) if ymin <= yval  < ymax else ybins-1 if yval ==ymax else None

    hist = numpy.zeros((xbins,ybins)) 
    for x,y in pairsData:
        i_x,i_y = xbin(x),ybin(ymax-y)
        if i_x is not None and i_y is not None:
            hist[i_y,i_x] += 1 

    extent = (xmin,xmax,ymin,ymax)

    return hist,extent

Answer 3

Numpy有一个名为histogram2d的函数，它的docstring还向您展示了如何使用Matplotlib可视化它。将interpolation=nearest添加到imshow调用以禁用插值。