Ray-Sphere Intersection II

Ray: P = P0 + tV

Sphere: |P - O|2 - r 2 = 0

L = O - P0

tca = L • V

if (tca < 0) return 0

d2 = L • L - tca2

if (d2 > r2) return 0

thc = sqrt(r2 - d2)

t = tca - thc and tca + thc

P0

V

O

P

r

P’

r

d

thc

tca

L

Geometric Method

P = P0 + tV

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