Foundations of Physically Based Modeling & Animation

pg 25, Fig. 3.1: The assignment Timestep = TimestepRemaining; should be just after the while statement, not before, as currently in the text. The comment try to simulate a full timestep should be on the assignment TimestepRemaining = h;

pg. 47: Brian Wyvill points out that Archimedes hatbox: http://mathworld.wolfram.com/ArchimedesHat-BoxTheorem.html is another useful approach to understanding how to distribute random points uniformly over a sphere. In addition, there is an easier to understand algorithm by Marsaglia that begins by picking pairs of uniformly distributed random numbers x₁ and x₂ over the interval [-1, 1] and rejecting pairs for which x₁² + x₂² >= 1 http://mathworld.wolfram.com/SpherePointPicking.html.

pg. 55: At the top of the page had its speed reduced by ρ should read had its speed reduced by c_r

pg. 76: In the figure at the top of the page, the label v̂_i should be on the velocity vector, not on the vector between the particle position and the sphere center.

pg. 97: The first sentence to the left of the diagram has a spurious 0. It should read ... near to each other but relatively far ...

pg. 141: At the bottom of the worked example, the solution for v₁^[n+1] should be -1.089 not -1.09.

pg. 200: Clarification: the definition of omega in the derivation of q-dot should make it clear that u is the unit vector in the direction of the angular velocity vector (i.e. it is parallel to the axis of rotation), and theta-dot is the signed magnitude of the angular velocity (i.e. it is the rotational speed, with sign determined by the right-hand rule).

pg. 268: The last paragraph of section 13.1 should read:
In the rest of this chapter we first lay out the mathematical foundations for treating continuous fields, and describe the Navier-Stokes equations for fluid momentum update. In the following two chapters we go on to demonstrate the most popular Lagrangian and Eulerian methods for simulating fluids for computer animation.

pg. 285 top: The integral should be over the volume of the kernel, not a path integral.

pg. 323: To the left are ... should read To the right are ....

pg. 337: The determinant |M| in example 1. should be 3, not 1/3.

pg. 345: Last sentence should read Appendices D and E provide alternate methods for specifying rotation.

pg. 350: Clarification - the third figure down on the right has a curved arrow containing an "x". This is meant to be the crossproduct symbol, not the coordinate x. So the meaning of the figure is that crossing a into b gives a vector in the direction of u_z.