《计算机图形学》学习资料.doc

1. 128076812 bitKB2. 40962561128076812 / (81024) = 1440(KB)2(1) 825612 bit(2) 12 1DDABresenham1. DDAA(0,0)B(5,3)rx=5, ry=3,x=0,y=0,steps=5,dx=1,dy=0.6;2. BresenhamA(0,0)B(5,3)dx=5, dy=3, d=2dy-dx=1, x=0, y=0, 2dy-2dx=-4, 3dy=6;23. Bresenham0,0890451/84. P0P1P2 0,01,11,0P(0)= P0, P(1)= P2,P(0)= P1-P0P(t)P(0.5)P(0.5)5. P0P1P2Q(t)Q(0)= P0 , Q(0.5)= P1, Q(1)= P2Q(0)Q(0.5)Q(1)6. 07. Ax0,y0Pxi,yi,i=0,1,n8. 0,33,65,65,34,32,10,3NETAET9. 010. 1031.3.4. Bresenham0,0890451/845.6.7.8. (1) AP(2) AP(3) (4) 5(5) AP9.69. 710.81. wxl=-0.5,wxr=0.5,wyb=0.0,wyt=1.0vxl=0,vxr=1280,vyb=0,vyt=1024P(0.25,0.75)P*2. P1P2(P180,75,P2-40,0)XL=0,XR=100,YB=0,YT=503. P180,-50,P2180,50,4. ax+by+c=0T5. P1x1,y1P2x2,y2,(1) P1P2(2) x1*x1+y1*y1=x2*x2+y2*y2 x1,y1,x2,y20P1P2 (3) y1:x1=y2:x2x1,y1,x2,y210P1P26. R(a1)R(a2)=R(a1)+R(a2)7. (Wxl,Wxr,Wyb,Wyt)(Vxl,Vxr,Vyb,Vyt),T98. x0y0aba9. ABCDx0y0aa10. a11. x0x0abdaABC12. 13. 1014. 1. vx=0+0.25-(-0.5)*(1280-0) / 0.5-(-0.5) = 960vy=0+(0.75-0) *(1024-0) / (1-0) = 7682.113.4.5.126.7.8.139.10.11.1412. P1P2P3P415HermiteBezierBezierBB1. 2. P(u)=u2-2u,u,u?0,1Q(t)=t2-1,t+1,t?0,1C13. P00,1P11,0P01,1P10,-1HermiteP(t)P(0.5)P(0.5)4. P0P1P2P3P4Bezier5. P00,0,0P11,-1,-1P2,1,1P36,0,0Bezier01/32/316. Bezier501/32/317. Bezier8. B(1)B(2)B9. (1)32,(2)31,(3)21BezierQ(0.5,0.5)()16123417569181. 1OA(A1,1,1)OZ YOZOXOY2. XOZTP(x,y,z)XOZP*3. TY45oX36o16XOY4194. 8XOYz=5TP10,10,4P*5. 0,0,8XOYTP4,4,4P*6. (1)(2)7. DABCA0,1,0B0,0,1C1,0,0)A?C ? B ? AE0,0,10DABC8. 128010240 216-11.202.4.5.6.7.(1) V=16,F=14,E=28,R=0,S=1,H=0,=2=2=(2) V=32,F=30,E=60,R=0,S=1,H=0, =2=2=217.8. 1280102424/(810241024)=2.75(MB)123221CRT/LED/LCD2CAD/CAM/CIMS3GUI/WYSIWYG4CPU/DPU1CRT_2_3_4ABAB_AB_5_6_7_1 CRT2 3 4 5 231P0P1P2P3Bezier2O1P10,1045-10,10P2P21,9,20,0,8PXOYP*3Q(t)=1,0+-2,0t+1,1t2,t0,1BezierBezierP0P1P21CRT/LED/LCD-2CAD/CAM/CIMS-3GUI/WYSIWYG-4CPU/DPU-1CRT22434ABABAB5671 CRT2 3 4 5 1P0P1P2P3Bezier2O251P10,1045-10,10P2P21,9,20,0,8PXOYP*3Q(t)=1,0+-2,0t+1,1t2,t0,1BezierBezierP0P1P21GKS/PHIGS2CAD/CAM3CAGD/CIMS4API/DPI5CPU/DPU261_2_3_4ABAB_AB_5_6_7_8_9_123451x2y320,302PYaXb,30,0,8DABC(A1,1,1,B-3,-2,4,C0,0,2)XOYDA1B1C11P0P1P2P3P4Bezier0.5272P0P1P2P3P4B1GKS/PHIGS-2CAD/CAM-3CAGD/CIMS -4API/DPI-5CPU/DPU-1234ABABAB5672889123451x2y320,302PYaXb,2930,0,8DABC(A1,1,1,B-3,-2,4,C0,0,2)XOYDA1B1C11P0P1P2P3P4Bezier0.5302P0P1P2P3P4B31Cfloat pointToAngle(fl