EUROGRAPHICS 2016 / E. Eisemann and E. Fiume(Guest Editors)

Volume 35 (2016), Number 4

Supplemental Material to: Sparse high-degree polynomials forwide-angle lenses

Emanuel Schrade, Johannes Hanika and Carsten Dachsbacher

Karlsruhe Institute of Technology, Germany.

On the following pages we compare our polynomial fit to raytraced ground truth for other lenses than the ones shown in the pa-per. For each of the lenses we tested, there is a drawing of the lenssystem with ray traced rays (grey) and the evaluated polynomial(coloured). Ideally these two should match on both the apertureand the outer pupil.Another plot shows the Fresnel transmittance for both ray tracedrays and the fitted polynomial on the outer pupil for each lens.

c© 2016 The Author(s)Computer Graphics Forum c© 2016 The Eurographics Association and JohnWiley & Sons Ltd. Published by John Wiley & Sons Ltd.

brendel tessar

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

5 10 15 20 25 30 35

lenses/brendel-tessar.fx

ray tracedpolynomial

canon anamorphic

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

5 10 15 20 25 30 35

lenses/canon-anamorphic.fx

ray tracedpolynomial

canon zoom

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

5 10 15 20 25 30 35

lenses/canon-zoom.fx

ray tracedpolynomial

double gauss 1930

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

5 10 15 20 25 30 35

lenses/double-gauss-1930.fx

ray tracedpolynomial

double gauss angenieux

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

5 10 15 20 25 30 35

lenses/double-gauss-angenieux.fx

ray tracedpolynomial

double gauss

0

0.1

0.2

0.3

0.4

0.5

0.6

5 10 15 20 25 30 35

lenses/double-gauss.fx

ray tracedpolynomial

fisheye aspherical

0

0.05

0.1

0.15

0.2

0.25

5 10 15 20 25 30 35

lenses/fisheye-aspherical.fx

ray tracedpolynomial

fisheye iii

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

5 10 15 20 25 30 35

lenses/fisheye-iii.fx

ray tracedpolynomial

fisheye ii

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

5 10 15 20 25 30 35

lenses/fisheye-ii.fx

ray tracedpolynomial

fisheye

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

5 10 15 20 25 30 35

lenses/fisheye.fx

ray tracedpolynomial

human eye

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

5 10 15 20 25 30 35

lenses/human-eye.fx

ray tracedpolynomial

itoh zoom

0

0.05

0.1

0.15

0.2

0.25

0.3

5 10 15 20 25 30 35

lenses/itoh-zoom.fx

ray tracedpolynomial

kreitzer tele

0

0.1

0.2

0.3

0.4

0.5

0.6

5 10 15 20 25 30 35

lenses/kreitzer-tele.fx

ray tracedpolynomial

lensbaby

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

5 10 15 20 25 30 35

lenses/lensbaby.fx

ray tracedpolynomial

nikon zoom

0

0.05

0.1

0.15

0.2

0.25

0.3

5 10 15 20 25 30 35

lenses/nikon-zoom.fx

ray tracedpolynomial

petzval

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

5 10 15 20 25 30 35

lenses/petzval.fx

ray tracedpolynomial

simple ii

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

5 10 15 20 25 30 35

lenses/simple-ii.fx

ray tracedpolynomial

simple

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

5 10 15 20 25 30 35

lenses/simple.fx

ray tracedpolynomial

tessar anamorphic ii

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

5 10 15 20 25 30 35

lenses/tessar-anamorphic-ii.fx

ray tracedpolynomial

tessar anamorphic

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

5 10 15 20 25 30 35

lenses/tessar-anamorphic.fx

ray tracedpolynomial

wideangle 1971

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

5 10 15 20 25 30 35

lenses/wideangle-1971.fx

ray tracedpolynomial

wideangle ii

0

0.05

0.1

0.15

0.2

0.25

5 10 15 20 25 30 35

lenses/wideangle-ii.fx

ray tracedpolynomial

wideangle

0

0.05

0.1

0.15

0.2

0.25

5 10 15 20 25 30 35

lenses/wideangle.fx

ray tracedpolynomial