Real-Time Rendering Corrigenda for 2nd edition

Addenda

• The special order of figure 15.14 that we call "texture swizzling" is actually a Morton sequence. This sequence was presented in
  G. M. Morton, "A Computer Oriented Geodetic Data Base and a New Technique in File Sequencing" , Ottawa,Ontario: IBM Ltd. (1966 March 1). Add to references. The following could be added after eq. 15.5, replace "this is a space-filling curve, and" with "this is a space-filling curve, called a Morton sequence~\cite{Morton66}, and also add an index \index{Morton sequence} (thanks to Iosif Antochi).

Significant errors

• Page 45, the definition of the norm should be \sqrt{} around all four expressions (not around n(q)). This needs also to be changed in the first line of text after equation 3.30, that is, there should be a \sqrt for the expression for n(q). Similar fix in equation 3.31, 3.33, 3.34, 3.39. (thanks to Frank Nielsen)
• Page 46, due to an error on page 45 for the norm, equation 3.39 should have square roots for the two rightmost expressions.
• Page 65, equation 3.70, insert a minus sign in front of the matrix elements at position (0,2) and (1,2) (i.e., the two topmost terms in the third column, if we start counting from 1). (thanks to Jagadish R)
• Page 90/91: last line of page 91 says "sinc(ax)" but should say "sinc(x/a)". Same for 3rd line on page 91. (thanks to Niek van Suchtelen)
• Page 280, equation 6.38, in the first column of the matrix, there should be minus signs in front of the terms "r_2 f_21" and "r_n f_n1", i.e., they should be "-r_2 f_21" and "-r_n f_n1" (thanks to Matthias Müller)
• Page 622-623, dynamic sphere-sphere intersection, we need to add something along the lines: "In addition, the smaller sphere could be completely inside the larger sphere at t=0. So, if the center point of A is inside the extended sphere, then an intersection at t=0 is reported."

Minor syntax errors

• Page 65, next to last line: change from "0.885" to "0.833" (thanks to Jagadish R).
• Page 91, caption for figure 91 says "half the sample rate" but it should really be "double the sample rate" (thanks to Fredrik Ehnbom).
• Page 184, line 5: "5.034 x 10^{15}" should be "5.034 x 10^{24}". (thanks to Lachlan Partington)
• Page 184, line 7: "2.77 x 10^9" should be "2.77 x 10^{18}" (thanks to Lachlan Partington)
• Page 700, equation 15.5, the "u_{n-2}" and "v_{n-2}" should change places. (thanks to Iosif Antochi).

Very minor errors