计算机图形学图形几何变换实现(20190417102422)

1、WORD格式-可编辑实验五图形几何变换的实现13班级：信计二班学号：20080502065 姓名：解J分数:一、实验目的匕了掌握理解二4、三维的数学知识、变换原理、变换种类、变换方法；进一步半解采用齐次坐心芈行二维、5 维图形的基本变换与复合变换o心变卦的必要性；，用VC+语言实现二维、:、实验内容(2)(3)理解采用齐次坐标进行图形变换的必要性 以实现。变换的连续性,使复合变换得掌握二维、三维图形基本变换的原理及数学公式。利用VC+语言实现二维、三维图形的基本变换、复合变换,在评不上显示变换过程或变换结果。、实验步骤(1)预习教材关于二维、三维图形变换的原理与方法。(2)使用VC+语言实现某

2、一种或几种基本变换。(3)调试、编译、运行程序。四、原理分析源程序分别实现了多二维图形进行的平移变换一基本变换；对三维图形进行的绕某一个坐标轴旋转变换以及相对于立方体中心的比例变换一复合变换。三维几何变换：(1) I比例变换：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例变换：a0000e00Ts = |其中a、b、j分别为在X、V、z方向的比例系数。00j00001J J整体"例变换:1 0Ts = 0 10 00 0大。0 00 0.其中s为在xyz方向的等比例系数。1 00 sS>1时，整

3、体缩小；s<1时，整体放(2) 旋转变换：旋转变换的角度方向为(沿坐标轴的反方向看去，各轴按逆时针方向旋转)绕Z轴旋转:cossinTrz =00绕x轴旋转：，I f10Trx =00绕y轴旋转：cos0Try =sin0程序代码：cossin00cos0001000 19000sin 0sin cos 00010sin01000 cos 0001/*三维图形（立方勺）旋转甘、比例变换#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