interpolate库提供了许多对数据进行插值运算的函数。下面是使用直线和B-Spline对正弦波上的点进 行插值的例子。
In [3]:
import numpy as np
import pylab as pl
from matplotlib import font_manager
# font_manager.fontManager.addfont('/usr/share/fonts/truetype/wqy/wqy-zenhei.ttc')
# font_manager.fontManager.addfont('/usr/share/fonts/truetype/wqy/wqy-microhei.ttc')
from scipy import interpolate
x = np.linspace(0, 2*np.pi+np.pi/4, 10)
y = np.sin(x)
x_new = np.linspace(0, 2*np.pi+np.pi/4, 100)
f_linear = interpolate.interp1d(x, y)
tck = interpolate.splrep(x, y)
y_bspline = interpolate.splev(x_new, tck)
pl.rcParams['font.sans-serif'] = 'WenQuanYi Zen Hei'
pl.plot(x, y, "o",label=u"原始数据")
pl.plot(x_new, f_linear(x_new), label=u"线性插值")
pl.plot(x_new, y_bspline, label=u"B-spline插值")
pl.legend()
pl.show()
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 21407 (\N{CJK UNIFIED IDEOGRAPH-539F}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 22987 (\N{CJK UNIFIED IDEOGRAPH-59CB}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 25968 (\N{CJK UNIFIED IDEOGRAPH-6570}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 25454 (\N{CJK UNIFIED IDEOGRAPH-636E}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 32447 (\N{CJK UNIFIED IDEOGRAPH-7EBF}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 24615 (\N{CJK UNIFIED IDEOGRAPH-6027}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 25554 (\N{CJK UNIFIED IDEOGRAPH-63D2}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
/opt/conda/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Glyph 20540 (\N{CJK UNIFIED IDEOGRAPH-503C}) missing from font(s) DejaVu Sans.
fig.canvas.print_figure(bytes_io, **kw)
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
findfont: Generic family 'sans-serif' not found because none of the following families were found: WenQuanYi Zen Hei
上图为使用interpolate库对正弦波数据进行线性插值和B-Spline插值的结果。
在这段程序中,通过interp1d函数直接得到一个新的线性插值函数。而B-Spline插值运算需要先使用 splrep函数计算出B-Spline曲线的参数,然后将参数传递给splev函数计算出各个取样点的插值结果。