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author | Prashant S | 2020-04-14 10:25:32 +0530 |
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committer | GitHub | 2020-04-14 10:25:32 +0530 |
commit | 06b09e7d29d252fb2f5a056eeb8bd1264ff6a333 (patch) | |
tree | 2b1df110e24ff0174830d7f825f43ff1c134d1af /Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb | |
parent | abb52650288b08a680335531742a7126ad0fb846 (diff) | |
parent | 476705d693c7122d34f9b049fa79b935405c9b49 (diff) | |
download | all-scilab-tbc-books-ipynb-master.tar.gz all-scilab-tbc-books-ipynb-master.tar.bz2 all-scilab-tbc-books-ipynb-master.zip |
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diff --git a/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb b/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb new file mode 100644 index 0000000..f21d11a --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb @@ -0,0 +1,1035 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 6: Photogrammetry" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.10: 79.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"S=1.0/10000;//scale\n", +"A=500.0;//area in sq. km\n", +"pw=0.3;//side overlap\n", +"l=0.23;//length in mm\n", +"w=0.23;//width in mm\n", +"//calculation\n", +"a=(1-0.6)*(1-pw)*l*w/S**2/1000/1000;\n", +"N=A/a;\n", +"disp(round(N),'no. of photographs taken')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.11: 80.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"L=25.0e3;//length in m\n", +"k=0.23e4;//l/s=w/s;\n", +"pl=0.6;//longitudinal lap\n", +"pw=0.3;//side lap\n", +"W=20.0e3;//width in m\n", +"//calculation\n", +"N=((L/((1-pl)*k)+1))*((W/((1-pw)*k)+1)+1);\n", +"disp(N,'no. of photographs taken');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.12: 81.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"//Part A page 310\n", +"f=0.1524;//focal length\n", +"S=1.0/10000;//scale\n", +"pw=0.3;//side lap\n", +"w=0.23;//format width\n", +"pl=0.6;\n", +"l=0.23;\n", +"//calculation\n", +"W=(1-pw)/S*w;\n", +"H=f/S+300;\n", +"disp(H,'height over datum in m');\n", +"N2=30/W+1;\n", +"N2=round(N2)\n", +"disp(N2-1,'no. of flight strips');\n", +"L=(1-pl)*1/S*l/1000;\n", +"disp(L,'length of each photograph cover in km');\n", +"T=3600*L/240.0;\n", +"disp(round(T),'exposure time in s');\n", +"Ad=T*240e3/60.0/60.0;//adjusted ground distance\n", +"N1=40.0e3/Ad+1;\n", +"N1=round(N1)\n", +"N=N1*N2;\n", +"disp(N,'no. of photographs taken');\n", +"//Part b page 317\n", +"t=3.0/180*%pi;\n", +"ya=82.25;\n", +"xa=-62.45;\n", +"s=220;\n", +"f=152.4;//focal length\n", +"H=2500.0e3;\n", +"h=500.0e3;\n", +"//calculation\n", +"theta=s-180;\n", +"ya_dash=xa*sin(theta*%pi/180)+ya*cos(theta*%pi/180)+f*tan(t)\n", +"S=(f/cos(t)-ya_dash*sin(t))/(H-h);\n", +"disp(round(1/S),'scale of photograph in 1 in')\n", +"disp('answer varies slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.13: 82.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"t=3*%pi/180;//tilt\n", +"xa=-62.45;//x coordinate of a\n", +"xb=78.25;//x coorbinate of b\n", +"f=152.4;//focal length in mm\n", +"H=2500.0;//actual height in m\n", +"hb=800;//height B in m\n", +"ha=500.0;//height A in m\n", +"ya=82.25;//y coordinate of a\n", +"yb=-41.15;//y coordinate of b\n", +"s=220.0;\n", +"//calculation\n", +"theta=s-180;\n", +"ya1=xa*sin(theta*%pi/180)+ya*cos(theta*%pi/180)+f*tan(t);//ya'\n", +"xa1=xa*cos(theta*%pi/180)-ya*sin(theta*%pi/180);//xa'\n", +"xb1=xb*cos(theta*%pi/180)-yb*sin(theta*%pi/180);//xb'\n", +"yb1=xb*sin(theta*%pi/180)+yb*cos(theta*%pi/180)+f*tan(t);//yb'\n", +"Xa=xa1*(H-ha)/(f/cos(t)-ya1*sin(t));\n", +"Xb=xb1*(H-hb)/(f/cos(t)-yb1*sin(t));\n", +"Ya=ya1*cos(t)*(H-ha)/(f/cos(t)-ya1*sin(t));\n", +"Yb=yb1*cos(t)*(H-hb)/(f/cos(t)-yb1*sin(t));\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.14: 83.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ri=95.0;//radial distance in mm\n", +"f=152.4;//focal length in mm\n", +"t=3*%pi/180;//tilt\n", +"l=50*%pi/180;//angle\n", +"//calculation\n", +"dt=ri**2*sin(t)*cos(l)**2/(f-ri*sin(t)*cos(l));\n", +"disp(round(dt*100)/100,'tilt displacement of the image in mm')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.15: 84.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"d=230.0;//square side in mm\n", +"f=152.4//focal length in mm\n", +"pl=0.6;//end lap\n", +"//calculation\n", +"k=(1-pl)*d/f;\n", +"V=k/0.15;\n", +"disp(V,'vertical exaggeration is')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.16: 85.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"xa=51.23;//x coordinate of a\n", +"xb=91.48;//x coordinate of b\n", +"ya=48.33;//y coordinate of a\n", +"yb=-51.63;//y coordinate of b\n", +"f=152.4;//focal length in mm\n", +"B=425.0;//actual height in mm\n", +"hb=842.86//height B in mm\n", +"ha=820.97;//height A in mm\n", +"r1=10.42;//in mm\n", +"r2=9.67;//in mm\n", +"b1=89.12;//base in mm\n", +"b=89.43;//base in mm\n", +"ra=11.62;//parallax in mm\n", +"rb=14.53;//parallax in mm\n", +"//calculation\n", +"C=0.5*((b1-r1)+(b-r2))\n", +"pa=C+ra;\n", +"pb=C+rb;\n", +"Xa=B*xa/pa;\n", +"Xb=xb*B/pb;\n", +"Ya=ya*B/pa;\n", +"Yb=yb*B/pb;\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m')\n", +"disp('the answer does not match with textbook due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.1: 70.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"Da=184.32;//distance in mm\n", +"Db=95.84;//distance in mm\n", +"Ax=-115.0;//x coordinate of A\n", +"By=-115.0;//y coordinate of B\n", +"//calculation\n", +"phi=atan(Ax/By);\n", +"AB=sqrt(Ax**2+By**2);\n", +"theta=acos((Da**2+AB**2-Db**2)/2/Da/AB);\n", +"alpha=phi-theta;\n", +"xc=Da*cos(alpha)-115.0;\n", +"disp(xc,'the coordiantes in mm x is');\n", +"yc=-Da*sin(alpha);\n", +"disp(yc,'the coordiantes in mm y is');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.17: 86.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"C=79.0;//in mm\n", +"ra=11.42;//elevarion in image in mm\n", +"rb=15.65;//elevarion in image in mm\n", +"hb=651;//height of B in mm\n", +"H=1500;//height in m\n", +"//calculation\n", +"delp=ra-rb;//pa=ra+c and pb=rb+c so ra-rb=pa-pb\n", +"pa=ra+C;\n", +"ha=hb+delp/pa*(H-hb);\n", +"disp(ha,'height of A in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.18: 77.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"B=741.0;//airbase in m\n", +"f=152.4;//focal length in mm\n", +"pa=94.32;//in mm\n", +"ha=325;//elevation in mm\n", +"//calculation\n", +"H=ha+B*f/pa;\n", +"disp(H,'height in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.19: 88.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"H=1632.0;//above MSL in m\n", +"f=152.4;//focal length in mm\n", +"pa=82.75;//in mm\n", +"ha=283;//elevation in m\n", +"//calculation\n", +"B=pa/f*(H-ha);\n", +"disp(B,'width of air base in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.20: 89.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"alpha=50.0;//angle in degrees\n", +"beta=46.0;//angle in degrees\n", +"f=300.0;//focal length in mm\n", +"xa=24.0;//x coordinate of a\n", +"xb=30.0;//x coordinate of b\n", +"//calculation\n", +"dela=xa/f;\n", +"delb=xb/f;\n", +"A=alpha+dela*180/%pi;//angle A\n", +"B=beta-delb*180/%pi;//angle B\n", +"D=180-A-B;\n", +"AD=1300.0*sin(B*%pi/180)/sin(D*%pi/180);\n", +"disp(round(AD),'distance of AD in m');\n", +"Y=6/(sqrt(xa**2+f**2))*AD;\n", +"RD=60.12+Y;\n", +"disp(RD,'RL of D in m');\n", +"disp('the answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.21: 90.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=152.4;//focal length in mm\n", +"L=120;//length in m\n", +"x1=40.0;//distance in mm\n", +"x2=-90.0;//distance in mm\n", +"//calculation\n", +"X=f*L/(x1-x2);\n", +"disp(X,'the coordinates of D in m is X=')\n", +"Y=L*x1/(x1-x2);\n", +"disp(Y,'the coordinates of D in m is Y=')\n", +"h=X*(30-20)/f;\n", +"disp(h,'elevation of D in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.22: 91.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"f=150.4;//focal length in mm\n", +"xc=-32.43;//coordinate in mm\n", +"xd=9.52;//coordinate in mm\n", +"//calculation\n", +"thc=atan(xc/f);\n", +"thd=atan(xd/f);\n", +"th=thd-thc;\n", +"th=th*180/%pi;\n", +"Az=325+15.0/60+th;\n", +"Az=degtodms(Az);\n", +"disp(Az,'Azimuth of D in deg,min,sec respectively')\n", +"disp('the answer differs slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.23: 92.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"BC=66.0;//distance in m\n", +"AC=81.6;//distance in m\n", +"xb=3.0;//x coordinate of b\n", +"ya=1.25;//y coordinate of a\n", +"xa=3.3;//x coordinate of a\n", +"theta=23+43.0/60;//angle in degrees\n", +"//calculation\n", +"f=(xa+xb)/2/tan(theta*%pi/180)+sqrt((xa+xb)**2/4/(tan(theta*%pi/180))**2+xa*xb);\n", +"disp(round(f),'focal length in cm');\n", +"aa=atan(ya/sqrt(xa**2+f**2));\n", +"Va=AC*tan(aa);\n", +"ab=atan(-1.87/sqrt(xa**2+f**2));\n", +"Vb=-BC*tan(ab);\n", +"disp(round((Vb+Va)*100)/100,'horizontal distance in m');\n", +"disp('the answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.24: 93.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"Eab=300.0;//average elevation\n", +"f=152.4;//focal length in mm\n", +"xa=28.4;//x coordinate of a\n", +"xb=-22.5;//x coordinate of b\n", +"ya=24.5;//y coordinate of a\n", +"yb=38.4;//y coordinate of b\n", +"Ha=2322.0;//distance in m\n", +"ha=400.0;//elevation of a in m\n", +"hb=200.0;//elevation of b in m\n", +"ab=61.05;//distance in mm\n", +"AB=810;//ground length in m\n", +"//calculation\n", +"Ha=300+AB/ab*f;\n", +"Xa=round((Ha-ha)*100/f*xa)/100;\n", +"Xb=round((Ha-ha)*100/f*xb)/100;\n", +"Ya=round((Ha-hb)*100/f*ya)/100;\n", +"Yb=round((Ha-hb)*100/f*yb)/100;\n", +"AB=sqrt((Xa-Xb)**2+(Ya-Yb)**2);\n", +"disp(round(AB*100)/100,'length AB in m');\n", +"H=300+810/AB*(Ha-Eab);\n", +"Xa=(H-ha)/f*xa;\n", +"Xb=(H-ha)/f*xb;\n", +"Ya=(H-hb)/f*ya;\n", +"Yb=(H-hb)/f*yb;\n", +"AB1=sqrt((Xa-Xb)**2+(Ya-Yb)**2);\n", +"disp(AB1,'corrected length AB in m');\n", +"disp(round(H*1000)/1000,'flying height in m');\n", +"//Xb is calculated wrong in the book that resulted in the error-\n", +"clear()\n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.25: 94.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=300.0;//length in m\n", +"ab=102.4;//distance in mm\n", +"f=152.4;//focal length in mm\n", +"hab=320.0;//average elevation in m\n", +"d=7.8;//dispalcement in mm\n", +"r=75.4;//distance in mm\n", +"//calculation\n", +"H=hab+AB/ab*f;\n", +"h=d*H/r;\n", +"disp(h,'height difference in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.26: 95.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=152.4;//focal length in mm\n", +"b=74.25;//distance in mm\n", +"ht=100.0;//height in m\n", +"H=700.0;//flying height\n", +"//calculation\n", +"B=b*H/f;\n", +"pb=f*B/H;\n", +"pt=f*B/(H-ht);\n", +"delp=pt-pb;\n", +"disp(round(delp*100)/100,'error due to parallax in mm')\n", +"ht=delp/pt*(H);\n", +"disp(ht,'height of chimney in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.2: 71.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.152;//focal length in m\n", +"H=1800;//elevation of topmost point in m\n", +"h=300;//elevation of ground in m\n", +"//calculation\n", +"S=f/(H-h);\n", +"disp(round(1/S),'scale of photograph in 1 in')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.27: 96.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"B=180.0;//height in m\n", +"f=120.0;//focal length in mm\n", +"pa=54.32//parallax in mm\n", +"pb=46.35;//parallax in m\n", +"//calculation\n", +"delH=B*f/pa/pb*(pa-pb);\n", +"disp(delH,'height difference in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.28: 97.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"L1=30000.0;//length in m\n", +"pl=0.6;//overlap\n", +"k=12000.0*0.2;//=l/S and w/S\n", +"pw=0.3;//side lap\n", +"W1=24000;//width in m\n", +"//calculation\n", +"N=round(((L1/((1-pl)*k)+1)+1))*round(((W1/((1-pw)*k)+1)+1));\n", +"disp(N,'no. of photographs taken');\n", +"Nf=N/33-1;//flight strips\n", +"disp(Nf,'no. of flight strips');\n", +"gd=(1-pl)*k;//grounf distance\n", +"disp(gd,'ground distance in m');\n", +"I=gd/(200e3)*60.0*60.0;//exposure interval\n", +"disp(round(I),'exposure interval in s');\n", +"ad=round(I)/60.0/60*200e3;//actual distance\n", +"disp(ad,'actual distance in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.3: 72.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.150 //focal length in m\n", +"h1=1500.0;//elevation A in m\n", +"h2=1200.0;//elevation B in m\n", +"h3=1000.0;//elevation C in m\n", +"H=3000.0;//height in m\n", +"//calculstion\n", +"hav=1.0/3*(h1+h2+h3);\n", +"S1=f/(H-h1);\n", +"disp(1/S1,'scale of point 1 in 1 in');\n", +"S2=f/(H-h2);\n", +"disp(1/S2,'scale of point 2 in 1 in');\n", +"S3=f/(H-h3);\n", +"disp(round(1/S3),'scale of point 3 in 1 in');\n", +"Sav=f/(H-hav);\n", +"disp(round(1/Sav),'average scale in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.4: 73.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ab=188.0;//distance in m\n", +"AB=120;//distance in m\n", +"Sm=1.0/20000;\n", +"//calculation\n", +"S=ab/AB*Sm;\n", +"disp(1/S,'scale of photograph in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.5: 74.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"xa=45.35;\n", +"xb=-40.16;\n", +"f=152.4;//focal length\n", +"H=1500.0;//actual height\n", +"ha=200.0;//height A\n", +"hb=150.0;//height B\n", +"ya=38.41;\n", +"yb=-45.65;\n", +"//calculation\n", +"Xa=xa*(H-ha)/f;\n", +"Ya=ya*(H-hb)/f;\n", +"Xb=xb*(H-ha)/f;\n", +"Yb=yb*(H-hb)/f;\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.6: 75.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"d=62.4;//displacement in mm\n", +"H=250.0;//height of datum m\n", +"r=115.4;//image distance in mm\n", +"//calculation\n", +"h=H*d/r;\n", +"disp(h,'height of chimney in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.7: 76.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ra=88.25;//image distance of A in mm\n", +"rb=81.23;//image distance of B in mm\n", +"rc=68.14;//image distance of C in mm\n", +"H=2000.0;// in m\n", +"ha=255;//distance in m\n", +"hb=200;//distance in m\n", +"hc=145;//distance in m\n", +"f=0.1524;//focal length in m\n", +"//calculation\n", +"aa=ra*ha/H;\n", +"disp(aa,'relief distance of A in mm');\n", +"bb=rb*hb/H;\n", +"disp(bb,'relief distance of B in mm');\n", +"cc=rc*hc/H;\n", +"disp(cc,'relief distance of C in mm');\n", +"S=f/H;\n", +"disp(1/S,'scale of photograph in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.8: 77.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.1524;//focal length in m\n", +"S=0.08251/1000;//scale\n", +"//calculation\n", +"H=f/S;\n", +"disp(H,'flying height in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.9: 78.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=610;// ground length in m\n", +"Xa=18.35;//in mm\n", +"Xb=106.41;//in mm\n", +"Ya=-62.41;//in mm\n", +"Yb=-21.43;//in mm\n", +"Ha=435;//elevation in m\n", +"Hb=452;//elevation in m\n", +"f=0.1524*1000;//focal length in m\n", +"//calculation\n", +"//solving the quadratic polynomial in H\n", +"//a=(Xb(H-Hb)-Xa(H-Ha))/f\n", +"//b=(Yb(H-Hb)-Ya(H-Ha))/f\n", +"//AB=sqrt(a^2+b^2)\n", +"//0=0.4064-365.929H-289685.07\n", +"//H=poly([-289685.926 -365.929 0.4064],'x','coeff')\n", +"//h=roots(H)\n", +"//disp(h(1),'height required in m')\n", +"function [f]=equation(x)\n", +" f=610^2-((Xb/f*(x-Hb)-Xa/f*(x-Ha))^2+(Yb/f*(x-Hb)-Ya/f*(x-Ha))^2)\n", +"endfunction\n", +"//initial guess\n", +"x=1407;\n", +"//deff('y=f(x)','y=f');\n", +"y=fsolve(x,equation);\n", +"disp(round(y),'height required in m')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |