1、WORD格式-可編輯實(shí)驗(yàn)五圖形幾何變換的實(shí)現(xiàn)13班級(jí)：信計(jì)二班學(xué)號(hào)：20080502065 姓名：解J分?jǐn)?shù):一、實(shí)驗(yàn)?zāi)康呢傲苏莆绽斫舛?、三維的數(shù)學(xué)知識(shí)、變換原理、變換種類(lèi)、變換方法；進(jìn)一步半解采用齊次坐心羋行二維、5 維圖形的基本變換與復(fù)合變換o心變卦的必要性；，用VC+語(yǔ)言實(shí)現(xiàn)二維、:、實(shí)驗(yàn)內(nèi)容(2)(3)理解采用齊次坐標(biāo)進(jìn)行圖形變換的必要性 以實(shí)現(xiàn)。變換的連續(xù)性,使復(fù)合變換得掌握二維、三維圖形基本變換的原理及數(shù)學(xué)公式。利用VC+語(yǔ)言實(shí)現(xiàn)二維、三維圖形的基本變換、復(fù)合變換,在評(píng)不上顯示變換過(guò)程或變換結(jié)果。、實(shí)驗(yàn)步驟(1)預(yù)習(xí)教材關(guān)于二維、三維圖形變換的原理與方法。(2)使用VC+語(yǔ)言實(shí)現(xiàn)某

2、一種或幾種基本變換。(3)調(diào)試、編譯、運(yùn)行程序。四、原理分析源程序分別實(shí)現(xiàn)了多二維圖形進(jìn)行的平移變換一基本變換；對(duì)三維圖形進(jìn)行的繞某一個(gè)坐標(biāo)軸旋轉(zhuǎn)變換以及相對(duì)于立方體中心的比例變換一復(fù)合變換。三維幾何變換：(1) I比例變換：q b c pd e f qx1 y1 z1 1 = x y z 1 T3d = x y z 1h i j r1m n s局部4例變換：a0000e00Ts = |其中a、b、j分別為在X、V、z方向的比例系數(shù)。00j00001J J整體"例變換:1 0Ts = 0 10 00 0大。0 00 0.其中s為在xyz方向的等比例系數(shù)。1 00 sS>1時(shí)，整

3、體縮??；s<1時(shí)，整體放(2) 旋轉(zhuǎn)變換：旋轉(zhuǎn)變換的角度方向?yàn)?沿坐標(biāo)軸的反方向看去，各軸按逆時(shí)針?lè)较蛐D(zhuǎn))繞Z軸旋轉(zhuǎn):cossinTrz =00繞x軸旋轉(zhuǎn)：，I f10Trx =00繞y軸旋轉(zhuǎn)：cos0Try =sin0程序代碼：cossin00cos0001000 19000sin 0sin cos 00010sin01000 cos 0001/*三維圖形（立方勺）旋轉(zhuǎn)甘、比例變換#include <stdio.h>#include <math.h>#include <graphics.h>*/#include <conio.h>#in

4、clude <time.h>#include <ctype.h>Q * I#define ZOOM_IN 0.9#define ZOOM_OUT 1.1.6*int turn13;/*0rx,1ry,3zoom*/typedef structfloat x; float y; float z;point;typedef structfloat x; float y;point2d;typedef structfloat x; float y; float h;point biao8;fanti;void make_box(float x,float y,float h,

5、fanti *p)p->biao0.z=h/2;p->biao1.z=h/2;p->biao2.z=h/2;p->biao3.z=h/2;p->biao4.z=-h/2;p->biao5.z=-h/2;p->biao6.z=-h/2;p->biao7.z=-h/2;p->x=x;p->y=y;p->h=h; p->biao0.x=x/2; p->biao0.y=y/2; p->biao1.x=-x/2; p->biao1.y=y/2;p->biao2.x=-x/2; p->biao2.y=-y

6、/2; p->biao3.x=x/2; p->biao3.y=-y/2; p->biao4.x=x/2; p->biao4.y=y/2;p->biao5.x=-x/2;p->biao5.y=y/2; p->biao6.x=-x/2;p->biao6.y=-y/2; p->biao7.x=x/2; p->biao7.y=-y/2;void trun2d(point *p,point2d *q)q->x=p->x+p->z*cos(0.25);q->y=p->y+p->z*sin(0.25);void

7、initm(float mat4)int count;for(count=0;count<4;count+)matcount0=0.;matcount1=0.;matcount2=0.;matcount3=0.;matcountcount=1.;return;void transfrom(point *p,point *q,float tm4)float xu,yv,zw,h;xu=tm00*p->x+tm10*p->y+tm20*p->z+tm30;yv=tm01*p->x+tm11*p->y+tm21*p->z+tm31;zw=tm02*p->

8、;x+tm12*p->y+tm22*p->z+tm32;p->x=xu; p->y=yv; p->z=zw;return;void rotationx(point *p,float alfa,float tm4)float rad=0.0174532925; initm(tm);tm11=cos(rad*alfa); tm12=sin(rad*alfa);tm21=-tm12; tm22=tm11;return;void rotationz(point *p,float alfa,float tm4)float rad=0.0174532925; initm(tm

9、);tm00=cos(rad*alfa); tm01=sin(rad*alfa);tm10=-tm01; tm11=tm00;return;void rotationy(point *p,float alfa,float tm4)float rad=0.0174532925; initm(tm);tm00=cos(rad*alfa); tm20=sin(rad*alfa);tm02=-tm20; tm22=tm00;return;void adjust(point *p,point *q)float t44;switch (turn10)case 1:rotationy(p,2,t);tran

10、sfrom(p,q,t);break;case -1:rotationy(p,-2,t);transfrom(p,q,t);break;default:break; switch (turn11)case 1:rotationz(p,2,t);transfrom(p,q,t);break;case -1:rotationz(p,-2,t);transfrom(p,q,t);break;default:break;switch (turn12)case 1:q->x=ZOOM_IN*p->x;q->y=ZOOM_IN*p->y;q->z=ZOOM_IN*p->

11、z;break;case -1:q->x=ZOOM_OUT*p->x;q->y=ZOOM_OUT*p->y;q->z=ZOOM_OUT*p->z;break;default:break;void drawbox(fanti *p)point2d fan2d8;int i;for(i=0;i<=7;i+)adjust(&p->biaoi,&p->biaoi);trun2d(&p->biaoi,&fan2di);fan2di.x+=300;fan2di.y+=200;cleardevice();outtex

12、t(" -> :right<- :left 八:up v :down");moveto(0,20);outtext(" page up:zoom in page down:zoom out space :Redraw Esc :exit");for(i=0;i<=3;i+)if(i=3)line(fan2di.x,fan2di.y,fan2d0.x,fan2d0.y); line(fan2di+4.x,fan2di+4.y,fan2d4.x,fan2d4.y); elseline(fan2di.x,fan2di.y,fan2di+1.x

13、,fan2di+1.y);line(fan2di+4.x,fan2di+4.y,fan2di+5.x,fan2di+5.y);line(fan2di.x,fan2di.y,fan2di+4.x,fan2di+4.y);void main()int gd=DETECT,gm,i,j;char key; float x,y,h;fanti a1; x=100; y=100; h=100;initgraph(&gd,&gm,"");setcolor(GREEN);make_box(x,y,h,&a1);for(;)turn10=0;turn11=0;turn12=0;key=getch();switch(key)case 77: turn10=1;break;/*RIGHT*/case 75: turn10=-1;break;/*LIFT*/case 72: turn11=1;break;/*UP*/case 80: turn11=-1;break;/*DO