Created
April 10, 2017 18:33
-
-
Save adcroft/f842d057521a86e8556b918a7a7718c3 to your computer and use it in GitHub Desktop.
Interpolating on a non-uniform quad-mesh
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "import numpy\n", | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Interpolating between nodes of a distorted grid (quad-mesh)\n", | |
| "\n", | |
| "We frequently need to interpolate to a point within a grid where the grid is not uniform. For a uniform grid we could use bilinear interpolation in whcih linear interpolation is applied consecutivley in each of the directions aligned with the grid. For a distorted grid application of the bilinear method essentially requires non-dimensional coordinates within the quad." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFmCAYAAABwT9PBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVEwHvWEAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x14682ab69e8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Figure 1\n", | |
| "def ttext(r1,r2,a,s,offset=None):\n", | |
| " r = ( 1 - a ) * r1 + a * r2\n", | |
| " if offset is not None: r=r+offset\n", | |
| " plt.text(r[0],r[1],s,horizontalalignment='center',verticalalignment='center')\n", | |
| "def plot_quad(Q):\n", | |
| " plt.axis([0,6,0,6])\n", | |
| " plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])))\n", | |
| " plt.plot(Q[:,0],Q[:,1],'b.',markersize=10)\n", | |
| " ttext(Q[0],Q[2],-.12,'A (0,0)')\n", | |
| " ttext(Q[1],Q[3],-.15,'B (1,0)')\n", | |
| " ttext(Q[2],Q[0],-.12,'C( 0,1)')\n", | |
| " ttext(Q[3],Q[1],-.15,'D (1,1)')\n", | |
| " plt.gca().arrow(.2,3,0,.5,head_width=.1); plt.text(.25,3.7,'y')\n", | |
| " plt.gca().arrow(.2,3,.25,0,head_width=.1); plt.text(.6,3.1,'x')\n", | |
| " plt.axis('off');\n", | |
| "Q=numpy.array([[1,1],[5,2],[4,5],[2,4]])\n", | |
| "with plt.xkcd():\n", | |
| " plot_quad(Q)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## A conformal mapping?\n", | |
| "\n", | |
| "Since the quad-cell has straight sides, we can construct a non-dimensional coordinate pair by dividing the cell sides in consistent ratios (see figure 2). The $\\tilde{x}$ coordinate divides both lines AB and DC in the ratio $\\tilde{x}:(1-\\tilde{x})$. Similarly the $\\tilde{y}$ coordinate divides both lines AD and BC in the ratio $\\tilde{y}:(1-\\tilde{y})$.\n", | |
| "\n", | |
| "A unique map exists between $x,y$-space and $\\tilde{x},\\tilde{y}$-space. If ABCD is a rectangle (right-angle corners) then the map is trivial and it is obvious that bi-linear interpolation with weights $\\tilde{x},\\tilde{y}$ becomes equivalent to bi-linear interpolation in $x,y$-space. Thus the bi-linear interpolation in the non-dimensional coordinates $\\tilde{x},\\tilde{y}$ provides a consistent way to interpolate when the grid is either distorted or regular-Cartesian." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def line_intersect(A,B,C,D):\n", | |
| " \"\"\"Returns intersect of AB and CD\"\"\"\n", | |
| " x1=A[0]; y1=A[1]\n", | |
| " x2=B[0]; y2=B[1]\n", | |
| " x3=C[0]; y3=C[1]\n", | |
| " x4=D[0]; y4=D[1]\n", | |
| " det = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)\n", | |
| " if det==0: raise Exception('Determinant was zero implying lines AB and CD are parallel!')\n", | |
| " det = 1./det\n", | |
| " xy12 = x1*y2 - x2*y1\n", | |
| " xy34 = x3*y4 - x4*y3\n", | |
| " return numpy.array([(xy12*(x3-x4)-xy34*(x1-x2))*det,(xy12*(y3-y4)-xy34*(y1-y2))*det])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFmCAYAAABwT9PBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x14682e710b8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Figure 2\n", | |
| "with plt.xkcd():\n", | |
| " plot_quad(Q)\n", | |
| " a = 0.4; W = numpy.array([ (1-a)*Q[0] + a*Q[1], (1-a)*Q[3] + a*Q[2] ])\n", | |
| " plt.plot(W[:,0],W[:,1],'r-')\n", | |
| " plt.plot(W[:,0],W[:,1],'r.',markersize=10)\n", | |
| " b = 0.4; V = numpy.array([ (1-b)*Q[0] + b*Q[3], (1-b)*Q[1] + b*Q[2] ])\n", | |
| " plt.plot(V[:,0],V[:,1],'g-')\n", | |
| " plt.plot(V[:,0],V[:,1],'g.',markersize=10)\n", | |
| " Z = line_intersect(W[0],W[1],V[0],V[1])\n", | |
| " plt.plot(Z[0],Z[1],'k.',markersize=10)\n", | |
| " ttext(Q[0],W[0],0.5,r'$\\tilde{x}$',offset=[0,-.3])\n", | |
| " ttext(Q[3],W[1],0.5,r'$\\tilde{x}$',offset=[0,.3])\n", | |
| " ttext(Q[1],W[0],0.5,r'$1-\\tilde{x}$',offset=[0.1,-.3])\n", | |
| " ttext(Q[2],W[1],0.5,r'$1-\\tilde{x}$',offset=[-.1,.3])\n", | |
| " ttext(V[0],Z,0.5,r'$\\tilde{x}$',offset=[0,.3])\n", | |
| " ttext(V[1],Z,0.5,r'$1-\\tilde{x}$',offset=[0.1,-.3])\n", | |
| " ttext(Q[0],V[0],0.5,r'$\\tilde{y}$',offset=[-.2,0])\n", | |
| " ttext(Q[3],V[0],0.5,r'$1-\\tilde{y}$',offset=[-.4,0])\n", | |
| " ttext(Q[1],V[1],0.5,r'$\\tilde{y}$',offset=[.2,0])\n", | |
| " ttext(Q[2],V[1],0.5,r'$1-\\tilde{y}$',offset=[.4,0])\n", | |
| " ttext(W[0],Z,0.5,r'$\\tilde{y}$',offset=[-.1,0])\n", | |
| " ttext(W[1],Z,0.5,r'$1-\\tilde{y}$',offset=[.4,0])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(1.5, 0.5)" | |
| ] | |
| }, | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "def conf_quad_coords(A,B,C,D,r):\n", | |
| " \"\"\"Returns non-dimensional coordinate within quad ABCD or position r.\"\"\"\n", | |
| " alpha = B[0] - A[0]\n", | |
| " delta = B[1] - A[1]\n", | |
| " beta = D[0] - A[0]\n", | |
| " epsilon = D[1] - A[1]\n", | |
| " gamma = C[0] - A[0] - (alpha+beta)\n", | |
| " kappa = C[1] - A[1] - (delta+epsilon)\n", | |
| " a = kappa*beta - gamma*epsilon\n", | |
| " dx = r[0] - A[0]\n", | |
| " dy = r[1] - A[1]\n", | |
| " b = (delta*beta - alpha*epsilon) - (kappa*dx - gamma*dy)\n", | |
| " c = alpha*dy - delta*dx\n", | |
| " if abs(a)>0:\n", | |
| " d = b*b/4. - a*c\n", | |
| " if d>=0:\n", | |
| " yy1 = - (b/2 + numpy.sqrt(d))/a\n", | |
| " yy2 = - (b/2 - numpy.sqrt(d))/a\n", | |
| " if abs(yy1-0.5)<abs(yy2-0.5): yj = yy1\n", | |
| " else: yj = yy2\n", | |
| " else:\n", | |
| " return numpy.nan, numpy.nan\n", | |
| " print(r)\n", | |
| " print(alpha,beta,gamma,delta,epsilon,kappa)\n", | |
| " print(a,b,c,d)\n", | |
| " #raise Exception('Ooops')\n", | |
| " else:\n", | |
| " if b!=0.:\n", | |
| " yj = -c/b\n", | |
| " else:\n", | |
| " yj = 0.\n", | |
| " a = alpha + gamma*yj\n", | |
| " b = delta + kappa*yj\n", | |
| " if a!=0.:\n", | |
| " xi = (dx - beta*yj)/a\n", | |
| " elif b!=0.:\n", | |
| " xi = (dy - epsilon*yj)/b\n", | |
| " else: raise Exception('Ooops again')\n", | |
| " return xi,yj\n", | |
| "conf_quad_coords([0,0],[1,0],[1,1],[0,1],[1.5,0.5])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAK9CAYAAAAqto3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERKej/A9zXOv69XAnYAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1468358d400>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x,y = numpy.linspace(0,5.5,100), numpy.linspace(0,5.5,100)\n", | |
| "X,Y = numpy.meshgrid(0*x,0*y)\n", | |
| "for j in range(y.shape[0]):\n", | |
| " for i in range(x.shape[0]):\n", | |
| " X[j,i],Y[j,i] = conf_quad_coords(Q[0],Q[1],Q[2],Q[3],[x[i],y[j]])\n", | |
| "clim=(-1.5,2.5)\n", | |
| "plt.figure(figsize=(10,8))\n", | |
| "plt.subplot(221); plt.contourf(x,y,X,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{x}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(222); plt.contourf(x,y,Y,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{y}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(223); plt.contourf(x,y,numpy.sqrt((X-.5)**2+(Y-.5)**2),levels=numpy.linspace(0,1.5*clim[1],31)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$\\tilde{r} = \\sqrt{(\\tilde{x}-1/2)^2+(\\tilde{y}-1/2)^2}$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(224); plt.contourf(x,y,16*X*(1-X)*Y*(1-Y),levels=numpy.linspace(-2,2,21)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$16\\tilde{x}(1-\\tilde{x})\\tilde{y}(1-\\tilde{y})$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The mapping involves the roots of a quadratic which hints at the conditional existence of solutions, primarily for the case where the lenght of one side of the cell vanishes. Empirically we see there are regions outside of the cell for which the non-dimensional coordinate is not defined (imagninary roots).\n", | |
| "\n", | |
| "This mapping thus is useful for local interoplation but not robust for operations outside of the cell." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Interpolation using barycentric coordinates of a triangles\n", | |
| "\n", | |
| "If we divide the quad-cell into four triangles then we can interpolate using barycentric coordinates within each triangle." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFmCAYAAABwT9PBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x14684d52898>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Figure 3\n", | |
| "with plt.xkcd():\n", | |
| " plt.axis([0,6,0,6])\n", | |
| " plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])))\n", | |
| " plt.plot(Q[:,0],Q[:,1],'b.',markersize=10)\n", | |
| " ttext(Q[0],Q[2],-.1,'A')\n", | |
| " ttext(Q[1],Q[3],-.1,'B')\n", | |
| " ttext(Q[2],Q[0],-.1,'C')\n", | |
| " ttext(Q[3],Q[1],-.1,'D')\n", | |
| " I=line_intersect(Q[0],Q[2],Q[1],Q[3])\n", | |
| " plt.plot(Q[::2,0],Q[::2,1],'r--')\n", | |
| " plt.plot(Q[1::2,0],Q[1::2,1],'r--')\n", | |
| " plt.plot(I[0],I[1],'r.',markersize=10)\n", | |
| " M=[Q[:,0].mean(),Q[:,1].mean()]\n", | |
| " for n in range(4): plt.plot([M[0],Q[n,0]],[M[1],Q[n,1]],'g--')\n", | |
| " plt.plot(M[0],M[1],'g.',markersize=10)\n", | |
| " plt.axis('off');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(1.0, 1.0, -1.0)" | |
| ] | |
| }, | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "def barycentric_coords(r1,r2,r3,r):\n", | |
| " \"\"\"Returns tuple of barycentric coordinates lambda_1, lambda_2, lambda_3 of r in triangle r1, r2, r3.\n", | |
| " All vectors should be vectors, e.g. r1=[0,1].\n", | |
| " \"\"\"\n", | |
| " x3 = r3[0]; y3 = r3[1]\n", | |
| " # Hereafter, everything is relative to r3=(x3,y3)\n", | |
| " x2 = r2[0] - x3; y2 = r2[1] - y3\n", | |
| " x1 = r1[0] - x3; y1 = r1[1] - y3\n", | |
| " x = r[0] - x3; y = r[1] - y3\n", | |
| " det = y2 * x1 - x2 * y1\n", | |
| " if det==0: raise Exception('Zero determinant implies the triangle was flat')\n", | |
| " det = 1. / det\n", | |
| " l1,l2 = ( y2 * x - x2 * y )*det, ( x1 * y - y1 * x )*det\n", | |
| " return l1, l2, 1-(l1+l2)\n", | |
| "barycentric_coords([1,0],[0,1],[0,0],[1,1])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(1.5, 0.5)" | |
| ] | |
| }, | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "def quad_coords_by_triangles(r1,r2,r3,r4,r,intersect=True):\n", | |
| " \"\"\"Returns tuple of quasi-barycentric coordinates lambda_1, lambda_2 of r in quadrilateral r1, r2, r3, r4.\n", | |
| " All positions should be vectors, e.g. r1=[0,1].\n", | |
| " \"\"\"\n", | |
| " def tri_interp(bary_coords,va,vb,vc):\n", | |
| " \"\"\"Barycentric interpolation between values at A,B,C.\"\"\"\n", | |
| " return bary_coords[0]*va + bary_coords[1]*vb + bary_coords[2]*vc\n", | |
| " # Choose a mid point\n", | |
| " if intersect: M=line_intersect(r1,r3,r2,r4)\n", | |
| " else: M=[(r1[0]+r2[0]+r3[0]+r4[0])/4,(r1[1]+r2[1]+r3[1]+r4[1])/4]\n", | |
| " abe = barycentric_coords(r1,r2,M,r)\n", | |
| " bce = barycentric_coords(r2,r3,M,r)\n", | |
| " cde = barycentric_coords(r3,r4,M,r)\n", | |
| " dae = barycentric_coords(r4,r1,M,r)\n", | |
| " #print(abe,bce,cde,dae)\n", | |
| " Rabe = tri_interp(abe,0,1,.5),tri_interp(abe,0,0,.5)\n", | |
| " Rbce = tri_interp(bce,1,1,.5),tri_interp(bce,0,1,.5)\n", | |
| " Rcde = tri_interp(cde,1,0,.5),tri_interp(cde,1,1,.5)\n", | |
| " Rdae = tri_interp(dae,0,0,.5),tri_interp(dae,1,0,.5)\n", | |
| " #print(Rabe, Rbce, Rcde, Rdae)\n", | |
| " #print((Rabe[0]+Rbce[0]+Rcde[0]+Rdae[0])/4,(Rabe[1]+Rbce[1]+Rcde[1]+Rdae[1])/4)\n", | |
| " # r falls in or on sector\n", | |
| " if abe[0]*abe[1]>=0 and abe[2]<=1: return Rabe#,'ab'\n", | |
| " if bce[0]*bce[1]>=0 and bce[2]<=1: return Rbce#,'bc'\n", | |
| " if cde[0]*cde[1]>=0 and cde[2]<=1: return Rcde#,'cd'\n", | |
| " if dae[0]*dae[1]>=0 and dae[2]<=1: return Rdae#,'da'\n", | |
| "quad_coords_by_triangles([0,0],[1,0],[1,1],[0,1],[1.5,.5])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAK9CAYAAAAqto3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x14684ffe208>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x,y = numpy.linspace(0,6,100), numpy.linspace(0,6,100)\n", | |
| "X,Y = numpy.meshgrid(0*x,0*y)\n", | |
| "for j in range(y.shape[0]):\n", | |
| " for i in range(x.shape[0]):\n", | |
| " X[j,i],Y[j,i] = quad_coords_by_triangles(Q[0],Q[1],Q[2],Q[3],[x[i],y[j]],intersect=True)\n", | |
| "plt.figure(figsize=(10,8))\n", | |
| "plt.subplot(221); plt.contourf(x,y,X,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{x}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(222); plt.contourf(x,y,Y,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{y}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(223); plt.contourf(x,y,numpy.sqrt((X-.5)**2+(Y-.5)**2),levels=numpy.linspace(0,1.5*clim[1],31)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$\\tilde{r} = \\sqrt{(\\tilde{x}-1/2)^2+(\\tilde{y}-1/2)^2}$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(224); plt.contourf(x,y,16*X*(1-X)*Y*(1-Y),levels=numpy.linspace(-2,2,21)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$16\\tilde{x}(1-\\tilde{x})\\tilde{y}(1-\\tilde{y})$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAK9CAYAAAAqto3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nECX5/wCWSFF+PTPfAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x14684fdf438>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# As above but using the centroid of the quad-cell\n", | |
| "x,y = numpy.linspace(0,6,100), numpy.linspace(0,6,100)\n", | |
| "X,Y = numpy.meshgrid(0*x,0*y)\n", | |
| "for j in range(y.shape[0]):\n", | |
| " for i in range(x.shape[0]):\n", | |
| " X[j,i],Y[j,i] = quad_coords_by_triangles(Q[0],Q[1],Q[2],Q[3],[x[i],y[j]],intersect=False)\n", | |
| "plt.figure(figsize=(10,8))\n", | |
| "plt.subplot(221); plt.contourf(x,y,X,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{x}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(222); plt.contourf(x,y,Y,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{y}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(223); plt.contourf(x,y,numpy.sqrt((X-.5)**2+(Y-.5)**2),levels=numpy.linspace(0,1.5*clim[1],31)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$\\tilde{r} = \\sqrt{(\\tilde{x}-1/2)^2+(\\tilde{y}-1/2)^2}$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(224); plt.contourf(x,y,16*X*(1-X)*Y*(1-Y),levels=numpy.linspace(-2,2,21)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$16\\tilde{x}(1-\\tilde{x})\\tilde{y}(1-\\tilde{y})$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Defining coordiante using bi-linear interpolation\n", | |
| "\n", | |
| "For four values $v_1$, $v_2$, $v_3$, $v_4$ at the corners of the unit square, the value at position (a,b) within the square is\n", | |
| "\\begin{eqnarray}\n", | |
| "f(v,a,b) & = & b * \\left[ (1-a) v_3 + a v_4 \\right] + (1-b) \\left[ (1-a) v_1 + a v_2 \\right] \\\\\n", | |
| "& = & (1-a) (1-b) v_1 + a (1-b) v_2 + (1-a) b v_3 + a b v_4\n", | |
| "\\end{eqnarray}\n", | |
| "\n", | |
| "Given the bi-linear interpolation above ($f(a,b)$), what $a,b$ simultaneously give $X=f(x,a,b)$ and $Y=f(y,a,b)$?\n", | |
| "\n", | |
| "Newton-Raphson method suggests an improvement of an estimate $a_n,b_n$ is given by:\n", | |
| "\\begin{eqnarray}\n", | |
| "\\left( \\begin{array}{cc}\n", | |
| "\\partial_a x(a_n,b_n) & \\partial_b x(a_n,b_n) \\\\\n", | |
| "\\partial_a y(a_n,b_n) & \\partial_b y(a_n,b_n)\n", | |
| "\\end{array} \\right)\n", | |
| "\\left( \\begin{array}{c}\n", | |
| "\\Delta a \\\\ \\Delta b\n", | |
| "\\end{array} \\right)\n", | |
| "& = &\n", | |
| "\\left( \\begin{array}{c}\n", | |
| "x(a_n,b_n) - X \\\\ y(a_n,b_n) - Y\n", | |
| "\\end{array} \\right) \\\\\n", | |
| "\\left( \\begin{array}{c}\n", | |
| "a_{n+1} \\\\ b_{n+1}\n", | |
| "\\end{array} \\right)\n", | |
| "& = &\n", | |
| "\\left( \\begin{array}{c}\n", | |
| "\\Delta a \\\\ \\Delta b\n", | |
| "\\end{array} \\right)\n", | |
| "\\end{eqnarray}\n", | |
| "where $x(a,b) = f(x,a,b)$ and $y(a,b)=f(y,a,b)$.\n", | |
| "\n", | |
| "\\begin{eqnarray}\n", | |
| "\\partial_a x(a,b) & = & \\partial_a f(x,a,b) \\\\\n", | |
| "& = & (1-b) (x_2-x_1) + b (x_4-x_3) \\\\\n", | |
| "\\partial_b x(a,b) & = & \\partial_b f(x,a,b) \\\\\n", | |
| "& = & (1-a) (x_3-x_1) + a (x_4-x_2) \\\\\n", | |
| "\\partial_a y(a,b) & = & \\partial_a f(y,a,b) \\\\\n", | |
| "& = & (1-b) (y_2-y_1) + b (y_4-y_3) \\\\\n", | |
| "\\partial_b y(a,b) & = & \\partial_b f(y,a,b) \\\\\n", | |
| "& = & (1-a) (y_3-y_1) + a (y_4-y_2)\n", | |
| "\\end{eqnarray}\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(1, 2, 3, 4, 2.5)" | |
| ] | |
| }, | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "def bilin(v1,v2,v3,v4,a,b):\n", | |
| " \"\"\"Bi-linear interpolation within quadrilateral.\"\"\"\n", | |
| " return b * ( a*v3 + (1-a)*v4 ) + (1-b) * ( a*v2 + (1-a)*v1 )\n", | |
| "bilin(1,2,3,4,0,0), bilin(1,2,3,4,1,0), bilin(1,2,3,4,1,1), bilin(1,2,3,4,0,1), bilin(1,2,3,4,0.5,0.5)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "J= [[3.0, 0.0], [1.0, 3.5]] |J|= 10.5 dx,dy= [-1.0, 1.0]\n", | |
| "da,db= [-0.33333333333333331, 0.38095238095238093] a,b= [0.83333333333333326, 0.11904761904761907] res= 0.714285714286\n", | |
| "J= [[3.7619047619047619, -0.66666666666666652], [1.0, 3.166666666666667]] |J|= 12.5793650794 dx,dy= [0.25396825396825395, 0.19047619047619024]\n", | |
| "da,db= [0.074027339642481593, 0.036773321315908006] a,b= [0.75930599369085172, 0.082274297731711063] res= 0.110800660958\n", | |
| "J= [[3.835451404536578, -0.51861198738170344], [1.0, 3.2406940063091483]] |J|= 12.9481363656 dx,dy= [-0.0054444622936693499, 0.0061288868859850076]\n", | |
| "da,db= [-0.0011171740631937528, 0.0022359596231769367] a,b= [0.7604231677540455, 0.080038338108534127] res= 0.00335313368637\n", | |
| "J= [[3.8399233237829318, -0.52084633550809101], [1.0, 3.2395768322459544]] |J|= 12.9605729728 dx,dy= [4.9959121950493568e-06, 0.00053818207964795306]\n", | |
| "da,db= [2.2876674206086043e-05, 0.00015906565336331683] a,b= [0.76040029107983942, 0.079879272455170805] res= 0.000181942327569\n", | |
| "J= [[3.8402414550896586, -0.52080058215967884], [1.0, 3.2395997089201605]] |J|= 12.9616456823 dx,dy= [-7.2777863735495885e-09, 3.8108445352236231e-05]\n", | |
| "da,db= [1.5293832200005447e-06, 1.1291228984715647e-05] a,b= [0.76039876169661946, 0.079867981226186088] res= 1.28206122047e-05\n", | |
| "J= [[3.8402640375476276, -0.52079752339323893], [1.0, 3.2396012383033805]] |J|= 12.9617216548 dx,dy= [-3.453770602845907e-11, 2.7053751776584534e-06]\n", | |
| "da,db= [1.0869241305241969e-07, 8.0154394741679647e-07] a,b= [0.76039865300420639, 0.079867179682238665] res= 9.10236360469e-07\n", | |
| "J= [[3.8402656406355229, -0.52079730600841279], [1.0, 3.2396013469957934]] |J|= 12.9617270482 dx,dy= [-1.7408297026122455e-13, 1.9205092227636555e-07]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(0.76039864528771628, 0.07986712278189434, 6.4616834470833953e-08, 6)" | |
| ] | |
| }, | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "def iter_quad(r1,r2,r3,r4,r,max_iter=40,debug=False):\n", | |
| " x1,y1 = r1\n", | |
| " x2,y2 = r2\n", | |
| " x3,y3 = r3\n", | |
| " x4,y4 = r4\n", | |
| " x,y = r\n", | |
| " a,b = 0.5,0.5 # Starting point\n", | |
| " for iter in range(max_iter):\n", | |
| " dxda = (1-b)*(x2-x1) + b*(x3-x4)\n", | |
| " dxdb = (1-a)*(x4-x1) + a*(x3-x2)\n", | |
| " dyda = (1-b)*(y2-y1) + b*(y3-y4)\n", | |
| " dydb = (1-a)*(y3-y1) + a*(y3-y2)\n", | |
| " det = dxda*dydb - dxdb*dyda\n", | |
| " dx = bilin(x1,x2,x3,x4,a,b) - x\n", | |
| " dy = bilin(y1,y2,y3,y4,a,b) - y\n", | |
| " if debug: print('J=',[[dxda,dxdb],[dyda,dydb]],'|J|=',det,'dx,dy=',[dx,dy])\n", | |
| " da = ( dydb * dx - dxdb * dy )/det\n", | |
| " db = ( dxda * dy - dyda * dx )/det\n", | |
| " a,b = a - da, b - db\n", | |
| " res = abs(da)+abs(db)\n", | |
| " if res<1.e-7: break\n", | |
| " if debug: print('da,db=',[da,db],'a,b=',[a,b],'res=',res)\n", | |
| " return a,b,res,iter\n", | |
| "#iter_quad([0,0],[1,0],[1,1],[0,1],[.5,.5])\n", | |
| "iter_quad(Q[0],Q[1],Q[2],Q[3],[4,2],debug=True)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAK9CAYAAAAqto3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1468366e048>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzsAAAGHCAYAAACXuEwIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERTA1QAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x146850237f0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x,y = numpy.linspace(0,5.5,100), numpy.linspace(0,5.5,100)\n", | |
| "X,Y = numpy.meshgrid(0*x,0*y); iter,res=0*X,0*Y\n", | |
| "for j in range(y.shape[0]):\n", | |
| " for i in range(x.shape[0]):\n", | |
| " X[j,i],Y[j,i],res[j,i],iter[j,i] = iter_quad(Q[0],Q[1],Q[2],Q[3],[x[i],y[j]],max_iter=140)\n", | |
| "plt.figure(figsize=(10,8))\n", | |
| "plt.subplot(221); plt.contourf(x,y,X,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{x}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(222); plt.contourf(x,y,Y,levels=numpy.linspace(clim[0],clim[1],31)); plt.colorbar();\n", | |
| "plt.title(r'$\\tilde{y}$'); plt.xlabel('x'); plt.ylabel('y');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(223); plt.contourf(x,y,numpy.sqrt((X-.5)**2+(Y-.5)**2),levels=numpy.linspace(0,1.5*clim[1],31)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$\\tilde{r} = \\sqrt{(\\tilde{x}-1/2)^2+(\\tilde{y}-1/2)^2}$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(224); plt.contourf(x,y,16*X*(1-X)*Y*(1-Y),levels=numpy.linspace(-2,2,21)); plt.colorbar();\n", | |
| "plt.xlabel('x'); plt.ylabel('y'); plt.title(r'$16\\tilde{x}(1-\\tilde{x})\\tilde{y}(1-\\tilde{y})$');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.figure(figsize=(10,4))\n", | |
| "plt.subplot(121)\n", | |
| "plt.contourf(x,y,iter,20); plt.colorbar(); plt.xlabel('x'); plt.ylabel('y'); plt.title(r'Iterations');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');\n", | |
| "plt.subplot(122)\n", | |
| "plt.contourf(x,y,numpy.log10(numpy.abs(res)+1e-16),20); plt.colorbar(); plt.xlabel('x'); plt.ylabel('y'); plt.title(r'Log residual');\n", | |
| "plt.plot(numpy.hstack((Q[:,0],Q[0,0])), numpy.hstack((Q[:,1],Q[0,1])),'k');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "\n", | |
| "The numerical inversion of the bi-linear coordinate definition does not converge in the same region that the original closed form mapping failed precisely because they should yield the same result." | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "anaconda-cloud": {}, | |
| "kernelspec": { | |
| "display_name": "Python [default]", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.5.2" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 1 | |
| } |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment