Cases of clip a line segment-pq, Computer Graphics

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Cases of clip a line segment-pq

Case 1: As we determine a new value of tE that is value of parameter t for any potentially entering (PE) point we select tmax as:  tmax = max {tmax, tE}. The initial value of tmax = 0 is considered.

Case 2: As we find a new value of tL that is value of parameter t for any potentially leaving (PL) point then tmax value is updated by tmin = min {tmin, tL}. The initial value of tmin = 1 is considered.

At last when value of t for all edges are determined and if tmax < tmin then line is visible else not. As well as line is visible from

P + tmax (Q - P)        to   P + tmin (Q - P) that is

P + t (Q - P) hence tmax   ≤ t ≤ tmin

tmax < tmin       (draw line)

tmax < tmin       (reject line)


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