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Incremental Image Synthesis

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Perspective transformationfpbpT persp-fp*t33+t43 = -fp-fp*t34+t44 = fpt11 t12 t13 t14t21 t22 t23 t24t31 t32 t33 t34t41 t42 t43 t44fp]bp][mx*fp,my*fp,-fp,1] [mx*fp, my*fp, -fp,[mx*bp,my*bp,-bp,1] [mx*bp, my*bp, bp,viewing angle: 90 o 1, 1-bp*t33+t43 = bp-bp*t34+t44 = bp1 0 0 00 1 0 00 0 -(fp+bp)/(bp-fp) -10 0 -2fp*bp/(bp-fp) 016 /36yPerspective transformation:gluPerspective(fov,asp,fp,bp)z1/(tg(fov/2)·asp) 0 0 00 1/tg(fov/2) 0 00 0 -(fp+bp)/(bp-fp) -10 0 -2fp*bp/(bp-fp) 01[X h,Y h,Z h,h] = [xc,yc,zc,1] T persp[X,Y,Z,1] = [X h/h, Y h/h, Z h/h,1]17 /36Viewing pipelineModel:x,y,zT M T VIEWT PERSPHomogeneousClippingframebuffer:X, YProjectionOcclusionviewporttrans.divisionSkipped in case ofwire frame rendering18 /366

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