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Surface Rendering
Program-Revolution
% parametricdeformationof aplane intoafigure of rotation.
clearall
clf
%make a flatsurface
s1=UnitSurface(10);
s1.facelighting='flat';
s1.facecolor='red';
%%getthe coordiatesof the surface anddeformthem.
V=s1.vertices;
%Note thaton thisplane there are onlytwonon-zerocoordinates:
%V(:,2) andV(:,1)
%V(:,2) ismappedintothe long-axisof the cylinder
%V(:,1) ismappedintothe circulardirectionwithradiusr
r=1.5 + abs(V(:,2)).*cos(2*pi*V(:,2));
%A cylinderwithradiusr,and itsaxisalignedalongthe Zaxis
s1.vertices=[cos(pi*V(:,1)).*r,sin(pi*V(:,1)).*r,3*V(:,2)];
count=renderpatch(s1);
axisoff;
gridon
daspect([11 1])
light('position',[10,-10,10])
%light('position',[10,10, 10])
%Do a persptectivetransform
set(gca,'projection','perspective')
set(gca,'CameraViewAngle',8)
%The frame backgroundcolor
set(gcf,'color',[.6,.8,.8])
xlabel('x');ylabel('y');zlabel('z');
view(-40,20)
drawnow
rotate3don
Program- test
clf;
clearall;
mustard=[.7.7 .2];
orange=[1,.7,.3];
tetra=Polyhedra('tetrahedron');
tetra.facelighting='flat';
tetra.edgecolor='black';
cube1=Polyhedra('cube');
cube1.facecolor='green';
cube1.facelighting='flat';
cube1.edgecolor='black';
cube1=translate(cube1,1.5,0,0);
octa1=Polyhedra('octahedron');
octa1.facecolor=mustard;
octa1.facelighting='flat';
octa1.edgecolor='black';
octa1=translate(octa1,3,0,0);
dodeca1=Polyhedra('dodecahedron');
dodeca1.facecolor=orange;
dodeca1.facelighting='flat';
dodeca1.edgecolor='none';
dodeca1=translate(dodeca1,5,0,0);
icosa1=Polyhedra('icosahedron');
icosa1.facecolor='red';
icosa1.facelighting='flat';
icosa1.edgecolor='black';
icosa1=translate(icosa1,7,0,0);
scene=combine(tetra,cube1,octa1,dodeca1,icosa1);
count=renderpatch(scene);
axisoff;
gridon
daspect([11 1])
light('position',[10,-10,10])
%light('position',[10,10, 10])
set(gca,'projection','perspective')
set(gca,'CameraViewAngle',6)
set(gcf,'color',[.6,.8,.8])
xlabel('x');ylabel('y');zlabel('z');
%view(-40,20)
rotate3don
Program3-airplane
%Demothe hierarchical buildingsystem
clearall;
clf;
%buildagroundplane
ground.facecolor=[.1.9.1];
ground.vertices=...
[-10, -10, 0;
-10, 10, 0;
10, 10 ,0;
10, -10, 0];
ground.faces=[12 3 4];
%tower
tower=translate(scale(UnitCube,1,1,4),8,8,4);
tower.facelighting='flat';
tower.facecolor=[.9,.2,.2];
%buildthe fusilage
sphere1=UnitSphere(2);
sphere1.facecolor='white';
nose=translate(scale(sphere1,3,1,1),-4.5,0,1.01);
tailcap=translate(scale(sphere1,2,1,1),4.5,0,1.01);
cockpit=translate(scale(UnitSphere(1.5),1.5,.75,.5),-2.5,0,2.0);
cockpit.facecolor='none';
cockpit.edgecolor='black';
cyl1=UnitCylinder(2);
cyl1=translate(rotateY(scale(cyl1,1,1,5),90),0,0,1.01);
%cyl1.facelighting='flat';
cyl1.facecolor='white';
fusilage=combine(cyl1,nose,tailcap,cockpit);
%wingandtail
wing=translate(scale(UnitSphere(3),1,10,.2),-2,0,1);
wing.facecolor='white';
htail=translate(scale(UnitSphere(2),1,4,.2),5,0,1);
vtail=translate(rotateY(scale(UnitSphere(2),1,.2,2),30),5,0,2);
wingtail=combine(wing,htail,vtail);
for time=0:.1:1
%motorsandpropellors
motor=scale(UnitSphere(2),1.5,.5,.5);
motor.facecolor='white';
motors={ translate(motor,-2,3,1) translate(motor,-2,-3,1) };
prop=rotateX(scale(UnitSphere(1.5),.1,2,.2),time*90);
prop.facecolor='black';
props=combine(...
translate(prop,-3.1,-3,1),...
translate(prop,-3.1,3,1) );
motorprop=combine(motors,props);
plane=combine( fusilage,wingtail,motorprop);
plane=translate(plane,0,0,1);
clf
scene=combine( ground,tower,plane );
count=renderpatch(scene);
axisoff;
gridon
daspect([11 1])
light('position',[10,-10,10])
%light('position',[10,10, 10])
%Do a persptectivetransform
set(gca,'projection','perspective')
set(gca,'CameraViewAngle',6)
%The frame backgroundcolor
set(gcf,'color',[.6,.8,.8])
xlabel('x');ylabel('y');zlabel('z');
view(-40,20)
drawnow;
end%for
rotate3don
Program-4-arm-device
cyl = UnitCylinder(2);
L1 = 3;
L2 = 2;
L3 = 1;
radius= .3;
w1 = 5;
w2 = 10;
w3 = 30;
arm1 = translate(scale(cyl,radius,radius,L1/2),0,0,L1/2);
arm1.facecolor= 'blue';
arm2 = translate(scale(cyl,radius,radius,L2/2),0,0,L2/2);
arm2.facecolor= 'green';
arm3 = translate(scale(cyl,radius,radius,L3/2),0,0,L3/2);
arm3.facecolor= 'red';
angle1= 0 ; angle2= 0 ; angle3= 0;
for i = 1:36
distal = combine(translate(rotateY(arm3,angle3),0,0,L2),arm2);
distal = rotateY(distal,angle2);
arm = combine(translate(distal,0,0,L1),arm1);
arm = rotateY(arm,angle1);
cla
renderpatch(arm);
camlight
box on
view(30,30)
drawnow
set(gca,'xlim',[-55],'ylim',[-55],'zlim',[-55])
angle1= angle1+ w1 ;
angle2= angle2+ w2 ;
angle3= angle3+ w3 ;
end
Program-pot(name programotherthancup)
%buildacup sittingona table
clearall
clf
res=15 ;
%buildthe cupbody
%bymakinga closed-endcylinder
cyl1=CSGcylinder(0,0,0,.45,'z',res);
cube1=CSGcube(0,0,-.5,.5,res);
body=CSGintersection(cyl1,cube1);
%thensubtractinganother,smallercylinder
cyl2=CSGcylinder(0,0,0,.35,'z',res);
cube2=CSGcube(0,0,-.4,.4,res);
hole=CSGintersection(cyl2,cube2);
body=CSGsubtract(body,hole);
%make the handle
s1=CSGsphere(.6,0,-.4,.3,res);
cyl3=CSGcylinder(.6,0,-.4,.15,'y',res);
handle=CSGsubtract(s1,cyl3);
%joinhandle andbodytomake the cup
cup=CSGunion(body,handle);
cupSurface=CSGtoSurface(cup,res);
cupSurface.facecolor='yellow';
%nowmake a place to setthe cup
table=UnitCube;
table.facecolor=[1,.6,.6];
table.facelighting='flat';
table.edgecolor='red';
table=scale(table,1,1,.2);
table=translate(table,0,0,-1.2);
scene=combine(cupSurface,table);
count=renderpatch(scene)
axisoff;
gridon
daspect([11 1])
light('position',[10,0,10])
%light('position',[10,10, 10])
%Do a persptectivetransform
set(gca,'projection','perspective')
set(gca,'CameraViewAngle',8)
%The frame backgroundcolor
set(gcf,'color',[.6,.8,.8])
xlabel('x');ylabel('y');zlabel('z');
view(7,20)
drawnow
rotate3don

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