計(jì)算機(jī)圖形學(xué)關(guān)于任意直線的對(duì)稱變換

1、實(shí)驗(yàn)3：關(guān)于任意直線的對(duì)稱變換實(shí)驗(yàn)類型：驗(yàn)證、設(shè)計(jì)所需時(shí)間：3學(xué)時(shí) TOC o 1-5 h z 主要實(shí)驗(yàn)容及要求：對(duì)于任意直線的二維圖形對(duì)稱變化的實(shí)驗(yàn)，要求輸入的直線是任意直線，直線的端點(diǎn)只能由鍵盤輸入或者鼠標(biāo)拾取，要做對(duì)稱變換的圖形也是一個(gè)任意圖形至少應(yīng)是一個(gè)任意多邊形。對(duì)稱變換，先分析如何使用一系列簡(jiǎn)單變換來(lái)構(gòu)造題目要求的復(fù)合變換。本體要實(shí)現(xiàn)的變換可以用如下一組變換組合來(lái)實(shí)現(xiàn)：將直線任一點(diǎn)移至與坐標(biāo)原點(diǎn)重合將平移后的直線繞原點(diǎn)旋轉(zhuǎn)至與某一坐標(biāo)軸重合將題目要求的對(duì)稱變換轉(zhuǎn)為實(shí)現(xiàn)圖形關(guān)于上述坐標(biāo)軸的對(duì)稱變換按逆序求上述、變換的逆變換將上述矩陣依次相乘得到最終的復(fù)合變換矩陣那么某一多邊形關(guān)于任意

2、直線的對(duì)稱變換就轉(zhuǎn)變?yōu)閷⒃摱噙呅蔚母黜旤c(diǎn)與上述求得的復(fù)合變換進(jìn)展矩陣乘法，求得變換后的新多邊形的各個(gè)頂點(diǎn)坐標(biāo)。根據(jù)上述流程，編程實(shí)現(xiàn)，并測(cè)試程序功能。源代碼：#include#includeusingnamespacestd;voidInitial(void)glClearColor(1.0f,1.0f,1.0f,1.0f);glMatrixMode(GL_PROJECTION);gluOrtho2D(0.0,200.0,0.0,150.0);classCPointpublic:intx;inty;CPoint()CPoint(intx1,inty1)x=x1;y=y1;staticCPoin

3、tZeroMoveToXY(CPointp,CPointXY);原始坐標(biāo)向屏幕坐標(biāo)XY的平移staticCPointToZero(CPointp);/關(guān)于原點(diǎn)對(duì)稱staticCPointXYMoveToZero(CPointp,CPointXY);/XY坐標(biāo)向屏幕坐標(biāo)的平移staticCPointCharge_AllLine(CPointp,CPointline_start,CPointline_end);慶于Ax+By+C=0對(duì)稱;CPointCPoint:ZeroMoveToXY(CPointp,CPointXY)/原始坐標(biāo)向屏幕坐標(biāo)XY的平移CPointresult;intchange3

4、3=1,0,0,0,1,0,-XY.x,-XY.y,1;intp13=0,0,0;for(intj=0;j3;j+)p1j=p.x*change0j+p.y*change1j+change2j;result.x=p10;result.y=p11;returnresult;CPointCPoint:ToZero(CPointp)/關(guān)于原點(diǎn)對(duì)稱CPointresult;intchange33=-1,0,0,0,-1,0,0,0,1;intp13=0,0,0;for(intj=0;j3;j+)p1j=p.x*change0j+p.y*change1j+change2j;result.x=p10;re

5、sult.y=p11;returnresult;CPointCPoint:XYMoveToZero(CPointp,CPointXY)/XY坐標(biāo)向屏幕坐標(biāo)的平移CPointresult;intchange33=1,0,0,0,1,0,XY.x,XY.y,1;intp13=0,0,0;for(intj=0;j3;j+)p1j=p.x*change0j+p.y*change1j+change2j;result.x=p10;result.y=p11;returnresult;CPointCPoint:Charge_AllLine(CPointp,CPointline_start,CPointline

6、_end)/關(guān)于Ax+By+C=0對(duì)稱doubleA,B,C;if(line_start.x=line_end.x)A=1;B=0;C=-line_start.x;elseif(line_start.y=line_end.y)A=0;B=1;C=-line_start.y;elseA=1000/(line_end.x-line_start.x);B=-1000/(line_end.y-line_start.y);C=1000*(-line_start.x/(line_end.x-line_start.x)+line_start.y/(line_end.y-line_start.y);CPoin

7、tresult;floatY_f=(-A*B*p.x+A*A*p.y-B*C)/(B*B+A*A);floatX_f=(-A*B*p.y+B*B*p.x-A*C)/(B*B+A*A);CPointxy,m1,m2;xy.x=X_f;xy.y=Y_f;m1=CPoint:ZeroMoveToXY(p,xy);m2=CPoint:ToZero(m1);result=XYMoveToZero(m2,xy);returnresult;voidDisplay(void)glClear(GL_COLOR_BUFFER_BIT);glColor3f(1.0f,0.0f,0.0f);glBegin(GL_LI

8、NES);intn,x,y,i;endl;coutn;CPoint*p=newCPointn;for(i=0;in;i+)cout請(qǐng)輸入第i+1個(gè)頂點(diǎn)坐標(biāo)xy;pi.x=x;pi.y=y;if(i=0|i=1)glVertex2i(pi.x,pi.y);elseif(i=n-1)glVertex2i(pi-1.x,pi-1.y);glVertex2i(pi.x,pi.y);glVertex2i(pi.x,pi.y);glVertex2i(p0.x,p0.y);elseglVertex2i(pi-1.x,pi-1.y);glVertex2i(pi.x,pi.y);cout請(qǐng)輸入對(duì)稱直線的兩個(gè)頂點(diǎn)

9、：endl;CPoint*p2=newCPoint2;for(i=0;i2;i+)cout請(qǐng)輸入第i+1個(gè)頂點(diǎn)坐標(biāo)xy;p2i.x=x;p2i.y=y;glVertex2i(p2i.x,p2i.y);for(i=0;in;i+)pi=CPoint:Charge_AllLine(pi,p20,p21);if(i=0|i=1)glVertex2i(pi.x,pi.y);elseif(i=n-1)glVertex2i(pi-1.x,pi-1.y);glVertex2i(pi.x,pi.y);glVertex2i(pi.x,pi.y);glVertex2i(p0.x,p0.y);elseglVerte

10、x2i(pi-1.x,pi-1.y);glVertex2i(pi.x,pi.y);glEnd();glFlush();intmain(intargc,char*argv)glutInit(&argc,argv);glutInitDisplayMode(GLUT_SINGLE|GLUT_RGB);glutInitWindowSize(400,300);glutInitWindowPosition(0,0);glutCreateWindow(矩形)；glutDisplayFunc(Display);Initial();glutMainLoop();return0;實(shí)驗(yàn)結(jié)果：CtD:VC4-+MSDEV98MPR0JeCT5duichenDebugduichenjexe3Q39請(qǐng)