side quest

python

# mode 1:  inline / chained / affecting
# surface transform = input.transforms - anchor + scale
# output transform = input.transforms - first anchor + second anchor

# mode 2: offline / free / independent
# surface transform = input.transforms + local transform - anchor + scale
# output transform = input.transforms

# how to support absolute position on chain?

# RS(X - A) + T
# surface transform(X) = CSX - A
# surface transform = anchor1 + scale + chain
# output transform = chain + anchor1 + anchor2

PointAtInfinity P = LinearDimension('base', domain = beam diameter / beam cross section / hit 100% of first surface, distribution) V = [const spherical rotation = point apparent angular position] > element position = start of rays

ObjectAtInfinity P = PointAtInfinity.P V = PointAtInfinity.V [.] AngularDimension('object', domain = apparent angular shape) > element position = start of rays

PointAtDistance P = [const translation = relative point position] V = AngularDimension('base', domain = beam angular size / beam angular cross section / hit 100% of first surface) > add trick to make rays start at element position (move rays forward by some t)

ObjectAtDistance P = PointAtDistance.P [.] LinearDimension('object', domain = object shape) V = PointAtDistance.V > add trick to make rays start at element position (move rays forward by some t)

Additional dimensions: Var = Dimension('name', domain=...)

Wavelength const = no wavelength info var = wavelength in mn

Material: const = constant index of refraction var = variable index of refraction: temperature...

Refraction model inputs: wavelength material temperature any other var

Simple version: trivial spherical / circular domains + linspace distribution

PointAtInfinity P = LinearDimension('base', domain = circular beam diameter) V = [unit X vector] > element position = start of rays

ObjectAtInfinity P = PointAtInfinity.P V = AngularDimension('object', domain = object apparent angular size // all objects are circles) > element position = start of rays

PointAtDistance P = [0] V = AngularDimension('base', domain = beam angular size) > add trick to make rays start at element position (move rays forward by some t)

ObjectAtDistance P = LinearDimension('object', domain = object physical diameter // all objects are circles) V = PointAtDistance.V > add trick to make rays start at element position (move rays forward by some t)

LinearDimension(origin, domain, number of samples) AngularDimension(origin, domain, number of samples)

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