solve an equation for perspective projection
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Hi guys I got an equation need to simplify but am new to simplify command
D^2=(xa-xb)^2+(ya-yb)^2+(Za-Zb)^2
knowing that:
xa=-f*Xa/Za
xb=-f*Xb/Zb
ya=-f*Ya/Za
yb=-f*Yb/Zb
what i want is to simplify the equation to this form :
af^2+bf+c=0
thank you for help in advance regards,
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K
2014-4-24
0 个投票
Hi,
I'm sure this isn't the best solution, but if you enter f, Xa,Xb,Ya,Yb,Za, and Zb as symbols, and then enter your four constraints, and then your equation for D^2, and then use expand, you can pretty easily read off the terms and group them as you like in the quadratic form. I am sure there is a better way, but thought this might help you move along until someone has a better idea.
syms f Xa Xb Za Zb Ya Yb xa=-f*Xa/Za;
xb=-f*Xb/Zb;
ya=-f*Ya/Za;
yb=-f*Yb/Zb;
D2=((xa-xb)^2+(ya-yb)^2+(Za-Zb)^2);
expand(D2)
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