SLAMflex SE
0.1.0
SLAMflex provides detection and tracking of dominant planes for smartphone devices. This plane can then be used to show AR content relative to the plane orientation. The detection of plane is performed in the field of view of the smartphone camera. In subsequent frames it is tracked. The interface returns the plane position and orientation.
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#include <conjugate_gradient.h>
Public Member Functions | |
template<class Func , class Deriv > | |
ConjugateGradient (const Vector< Size > &start, const Func &func, const Deriv &deriv) | |
template<class Func > | |
ConjugateGradient (const Vector< Size > &start, const Func &func, const Vector< Size > &deriv) | |
void | init (const Vector< Size > &start, const Precision &func, const Vector< Size > &deriv) |
template<class Func > | |
void | find_next_point (const Func &func) |
bool | finished () |
void | update_vectors_PR (const Vector< Size > &grad) |
template<class Func , class Deriv > | |
bool | iterate (const Func &func, const Deriv &deriv) |
Public Attributes | |
const int | size |
Dimensionality of the space. More... | |
Vector< Size > | g |
Gradient vector used by the next call to iterate() More... | |
Vector< Size > | h |
Conjugate vector to be searched along in the next call to iterate() More... | |
Vector< Size > | minus_h |
negative of h as this is required to be passed into a function which uses references (so can't be temporary) More... | |
Vector< Size > | old_g |
Gradient vector used to compute $h$ in the last call to iterate() More... | |
Vector< Size > | old_h |
Conjugate vector searched along in the last call to iterate() More... | |
Vector< Size > | x |
Current position (best known point) More... | |
Vector< Size > | old_x |
Previous best known point (not set at construction) More... | |
Precision | y |
Function at . More... | |
Precision | old_y |
Function at old_x. More... | |
Precision | tolerance |
Tolerance used to determine if the optimization is complete. Defaults to square root of machine precision. More... | |
Precision | epsilon |
Additive term in tolerance to prevent excessive iterations if . Known as ZEPS in numerical recipies. Defaults to 1e-20. More... | |
int | max_iterations |
Maximum number of iterations. Defaults to size . More... | |
Precision | bracket_initial_lambda |
Initial stepsize used in bracketing the minimum for the line search. Defaults to 1. More... | |
Precision | linesearch_tolerance |
Tolerance used to determine if the linesearch is complete. Defaults to square root of machine precision. More... | |
Precision | linesearch_epsilon |
Additive term in tolerance to prevent excessive iterations if . Known as ZEPS in numerical recipies. Defaults to 1e-20. More... | |
int | linesearch_max_iterations |
Maximum number of iterations in the linesearch. Defaults to 100. More... | |
Precision | bracket_epsilon |
Minimum size for initial minima bracketing. Below this, it is assumed that the system has converged. Defaults to 1e-20. More... | |
int | iterations |
Number of iterations performed. More... | |
This class provides a nonlinear conjugate-gradient optimizer. The following code snippet will perform an optimization on the Rosenbrock Bananna function in two dimensions:
The chances are that you will want to read the documentation for ConjugateGradient::ConjugateGradient and ConjugateGradient::iterate.
Linesearch is currently performed using golden-section search and conjugate vector updates are performed using the Polak-Ribiere equations. There many tunable parameters, and the internals are readily accessible, so alternative termination conditions etc can easily be substituted. However, ususally these will not be necessary.
Definition at line 200 of file conjugate_gradient.h.
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inline |
Initialize the ConjugateGradient class with sensible values.
start | Starting point, x |
func | Function f to compute |
deriv | Function to compute |
Definition at line 230 of file conjugate_gradient.h.
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inline |
Initialize the ConjugateGradient class with sensible values.
start | Starting point, x |
func | Function f to compute |
deriv |
Definition at line 241 of file conjugate_gradient.h.
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inline |
Perform a linesearch from the current point (x) along the current conjugate vector (h). The linesearch does not make use of derivatives. You probably do not want to use this function. See iterate() instead. This function updates:
func | Functor returning the function value at a given point. |
Definition at line 296 of file conjugate_gradient.h.
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inline |
Check to see it iteration should stop. You probably do not want to use this function. See iterate() instead. This function updates nothing.
Definition at line 349 of file conjugate_gradient.h.
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inline |
Initialize the ConjugateGradient class with sensible values. Used internally.
start | Starting point, x |
func | |
deriv |
Definition at line 252 of file conjugate_gradient.h.
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inline |
Use this function to iterate over the optimization. Note that after iterate returns false, g, h, old_g and old_h will not have been updated. This function updates:
func | Functor returning the function value at a given point. |
deriv | Functor to compute derivatives at the specified point. |
Definition at line 393 of file conjugate_gradient.h.
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inline |
After an iteration, update the gradient and conjugate using the Polak-Ribiere equations. This function updates:
grad | The derivatives of the function at x |
Definition at line 363 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::bracket_epsilon |
Minimum size for initial minima bracketing. Below this, it is assumed that the system has converged. Defaults to 1e-20.
Definition at line 222 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::bracket_initial_lambda |
Initial stepsize used in bracketing the minimum for the line search. Defaults to 1.
Definition at line 217 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::epsilon |
Additive term in tolerance to prevent excessive iterations if . Known as ZEPS
in numerical recipies. Defaults to 1e-20.
Definition at line 214 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::g |
Gradient vector used by the next call to iterate()
Definition at line 203 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::h |
Conjugate vector to be searched along in the next call to iterate()
Definition at line 204 of file conjugate_gradient.h.
int TooN::ConjugateGradient< Size, Precision >::iterations |
Number of iterations performed.
Definition at line 224 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::linesearch_epsilon |
Additive term in tolerance to prevent excessive iterations if . Known as ZEPS
in numerical recipies. Defaults to 1e-20.
Definition at line 219 of file conjugate_gradient.h.
int TooN::ConjugateGradient< Size, Precision >::linesearch_max_iterations |
Maximum number of iterations in the linesearch. Defaults to 100.
Definition at line 220 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::linesearch_tolerance |
Tolerance used to determine if the linesearch is complete. Defaults to square root of machine precision.
Definition at line 218 of file conjugate_gradient.h.
int TooN::ConjugateGradient< Size, Precision >::max_iterations |
Maximum number of iterations. Defaults to size
.
Definition at line 215 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::minus_h |
negative of h as this is required to be passed into a function which uses references (so can't be temporary)
Definition at line 205 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::old_g |
Gradient vector used to compute $h$ in the last call to iterate()
Definition at line 206 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::old_h |
Conjugate vector searched along in the last call to iterate()
Definition at line 207 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::old_x |
Previous best known point (not set at construction)
Definition at line 209 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::old_y |
Function at old_x.
Definition at line 211 of file conjugate_gradient.h.
const int TooN::ConjugateGradient< Size, Precision >::size |
Dimensionality of the space.
Definition at line 202 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::tolerance |
Tolerance used to determine if the optimization is complete. Defaults to square root of machine precision.
Definition at line 213 of file conjugate_gradient.h.
Vector<Size> TooN::ConjugateGradient< Size, Precision >::x |
Current position (best known point)
Definition at line 208 of file conjugate_gradient.h.
Precision TooN::ConjugateGradient< Size, Precision >::y |
Function at .
Definition at line 210 of file conjugate_gradient.h.