Jim Blinn's Corner: Notation, Notation, Notation

Index

Numbers

1D homogenous geometry 

cubic equation 276, 277

discriminants 278–282

invariance 282–284

overview 276

quadratic equation 276, 277

ID specialization of 2D-to-2D texture mapping 193

2 × 2 matrix 69–95

adjoint 71, 277

characteristic equation 72–73

cone of singularity 91

determinant 70–71, 91, 277

eigenvalues 72–73, 89, 91, 93

eigenvectors 73–79

factoring 71–72

general invariants 82, 85–86, 89

inverse 71

as linear transformation between 2D vectors 69–70

nonsymmetric with one eigenvector 79

nonsymmetric with one positive and one negative eigenvalue 77, 78, 79

nonsymmetric with two unequal positive eigenvalues 77, 78

orthogonality 76–77

plot of determinants 91

positive (negative) definite 79–80, 84–85

rotational invariants 83–84, 86–87, 89, 90

singular value decomposition  ...