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+{
+"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
+}