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Errata for Introduction to Representations and Estimation in Geometry, version 0.25

Typos and grammatical errors are not listed here

This errata page is no longer maintained. See later versions for additional updates.

  • Page 25: line 2 in Section 2.1.1: replace "y ∈ ℝ3" by "y ∈ ℝ2".
  • Page 30: Line 7 after Equation (2.26): replace "the rank of YT can be" with "the rank of YT must be".
  • Page 36: Line 3 from top: replace "ℝ" by "ℝ3".
  • Page 42: First line after Equation (3.12): replace "t" by "t".
  • Page 57: Last line of Section 4.3.4: replace "" by "".
  • Page 59: In Equation (4.33) and in the sentences that follows: replace "" by "".
  • Page 61: End of last sentence of Section 4.4.3: replace "... the three planes are not distinct" by "... the three planes intersect along a line".
  • Page 61: In Equation (4.41) and in the sentence just before: replace "" by "".
  • Page 61: End of last sentence of Section 4.4.4: replace "... the three points are not distinct" by "... the three points are co-linear".
  • Page 61: Second to last line on page: replace "the rank of XT can be" with "the rank of XT must be".
  • Page 62: In Section 4.4.5, the Rank 1 case: replace " is 1-dimensional" with " is 3-dimensional".
  • Page 62: In Section 4.4.6, the Rank 1 case: replace " is 1-dimensional" with " is 3-dimensional".
  • Page 63: In Equation (4.47): replace "(p1 · p2)" with "(p1 · x2)".
  • Page 63: Second sentence after Equation (4.49): replace second occurance of "Equation (2.28)" with "Equation (4.49)".
  • Page 64: In Equation (4.51): replace "d" with "dPD".
  • Page 70: In Figure 6.1: the labeling of the planes p1 and p2 should be reversed.
  • Page 78: Right-hand side of Equation (7.8) should look like: .
  • Page 82: Obseravtion 2: Last sentence should read "World coordinates are first rotated by R and then translated by t".
  • Page 83: In the sentence between Equations (7.19) and (7.20): Replace "xw = ( 0 0 )" by "xw = ( 0 1 )".
  • Page 86: In the sentence before Equation (7.28): replace "y2" by "ys".
  • Page 86: In the sentence after Equation (7.32): replace t' by t'.
  • Page 87: In the third paragraph of section The internal parameters: the parameter s, the pixel scale, refers to the number of pixels per length unit.
  • Page 88: In the first two sentences in the section The external parameters: replace n by n and replace t by t.
  • Page 88: In the sentence that follows: replace "... after the translation ...." by "... before the translation ....".
  • Page 90: In the final sentence of the paragraph after Equation (7.42): ends as "... the camera center n".
  • Page 91: In Figure 7.6: replace "... image point Ly" by "... image point y".
  • Page 97: In Equation (7.68): switch w and h.
  • Page 126: In Equation (9.40): matrix C2 should be transposed.
  • Page 129: In Equation (9.49): the distance function should be denoted dPD.
  • Page 131: In Equation (9.51): the second vector should be denoted as y2.
  • Page 134: In Equation (9.61): should be t = t2 - R2R1T t1.
  • Page 136: In Equation (9.75): Replace VT with VT.
  • Page 137: In the sentence before Equation (9.81): Replace W by R and replace WT by R'.
  • Page 153: In Algorithm 8: The last line should read: z = the right-most column of V (= the right singular vector of A with the the smallest singular value).
  • Page 158: In Equations (10.37), (10.38) and (10.39): The dot sign/signs should be on the other side of the bar in the conditional probabilities.
  • Page 158: In Equation (10.43): Replace σ with σ2.
  • Page 195: In Equation (12.43): Replace D with DT.
  • Page 204: In Equation (13.15): Replace nt with 2nt.
  • Page 205: In Algorithm 16 and in the text of the paragraph below: Change IPC to ICP. This applies also to the index, page 325.
  • Page 241: In Algorithm 27: In the initialisation step, add Cest = ∅.
  • Page 243: In Algorithms 28 and 29: In the initialisation step, add Cest = ∅.
  • Page 244: In Algorithm 30: In the initialisation step, add Cest = ∅.
  • Page 267: In the first line after Equation (17.12): change ε to εBA.
  • Page 268: In Equation (17.13): the distance function is dPP.
  • Page 290: In the last line before Equation (B.8): change a to unit vector n with a hat. This is the case also for three occurences in the line following the equation.
  • Page 290: In the first line after Equation (B.8): change a to vector n (3 occurences!).
  • Page 292: In sentence before Equation (B.29): change M-1 to M.
  • Page 293: In the first sentence of the second paragraph: change index variable j to i.
  • Page 294: In Equation (B.34): the last relation should be M MT = U S STUT.
  • Page 296: In first sentence of the second paragraph in section Finding the span ...: the subspace should be denoted with capital Vi.
  • Page 299: In Equation (B.62): right-hand side should be U' S' V'T.
  • Page 310: In Observation 47: change "must" to "much".
  • Page 313: In Equation (C.11): change x to z.
  • Page 313: In Equation (C.12) and in the following sentence: change rm to ri.
  • Page 319: In the last sentence: Inversion of JTJ has computational complexity O(m13).

Senast uppdaterad: 2014-09-12