# Solved Instances of Minimal Problems

This webpage stores files supporting the computations in the paper Minimal Problems for the Calibrated Trifocal Variety.

In the main theorem below, click on the degree in each row to see a generic instance of that minimal problem.

Theorem 6: The rows of the following table display the algebraic degree for $66$ minimal problems across three calibrated views.
Given generic point/line image correspondences in the amount specified by the entries in the first five columns, then the number
of calibrated camera configurations over $\mathbb{C}$ that are consistent with those correspondences equals the entry in the sixth column.

#PPP#PPL#PLP#LLL#PLL#configurations
3 1 0 0 0 272
3 0 0 1 0 216
3 0 0 0 2 448
2 2 0 0 1 424
2 1 1 0 1 528
2 1 0 1 1 424
2 1 0 0 3 736
2 0 0 2 1 304
2 0 0 1 3 648
2 0 0 0 5 1072
1 4 0 0 0 160
1 3 1 0 0 520
1 3 0 1 0 360
1 3 0 0 2 520
1 2 2 0 0 672
1 2 1 1 0 552
1 2 1 0 2 912
1 2 0 2 0 408
1 2 0 1 2 704
1 2 0 0 4 1040
1 1 1 2 0 496
1 1 1 1 2 896
1 1 1 0 4 1344
1 1 0 3 0 368
1 1 0 2 2 736
1 1 0 1 4 1184
1 1 0 0 6 1672
1 0 0 4 0 360
1 0 0 3 2 696
1 0 0 2 4 1176
1 0 0 1 6 1680
1 0 0 0 8 2272
0 5 0 0 1 160
0 4 1 0 1 616
0 4 0 1 1 456
0 4 0 0 3 616
0 3 2 0 1 1152
0 3 1 1 1 880
0 3 1 0 3 1280
0 3 0 2 1 672
0 3 0 1 3 1008
0 3 0 0 5 1408
0 2 2 1 1 1168
0 2 2 0 3 1680
0 2 1 2 1 1032
0 2 1 1 3 1520
0 2 1 0 5 2072
0 2 0 3 1 800
0 2 0 2 3 1296
0 2 0 1 5 1848
0 2 0 0 7 2464
0 1 1 3 1 1016
0 1 1 2 3 1552
0 1 1 1 5 2144
0 1 1 0 7 2800
0 1 0 4 1 912
0 1 0 3 3 1456
0 1 0 2 5 2088
0 1 0 1 7 2808
0 1 0 0 9 3592
0 0 0 5 1 920
0 0 0 4 3 1464
0 0 0 3 5 2176
0 0 0 2 7 3024
0 0 0 1 9 3936
0 0 0 0 11 4912