Exam Prep Flashcards
Process to find unit speed reparam
Process to find curvature
Process to Find right handed orthonormal basis
Frenet-serret equations in R^3
Nowhere vanishing curvature implies
Torsion is always defined
Greene’s theorem
For all smooth functions f and g
Provided that γ is traversed anti clockwise
Unit normal to σ
Unit normal
A surface patch is regular if
Regular point ?
Component vectors of cross product of partial derivatives of surface patch must be linearly independent
I.e. cross product never equals zero
Process to find torsion
Either of
Conformal?
A conformal parameterization has E=G and F=0
1st fundamental form of a plane (in standard coordinates)
du2 + dv2
Calculate surface area
For a curve on a regular surface patch, find the first fundamental form