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Monthly Archives: September 2012
Implementing the GaussNewton Algorithm for Sphere Fitting (3 of 3)
The first post in this series made it clear that the major computational and storage costs to implementing the GaussNewton algorithm come in computing the matrices and . By carefully avoiding materialization of the Jacobian matrix and the residual vector, … Continue reading
Posted in Mathematics
Tagged Accelerometer, ADXL335, ADXL345, Arduino, Calibration, Gauss–Newton algorithm, HMC5843, Magnetometer, muCSense, Sensor, Statistics
2 Comments
Implementing the GaussNewton Algorithm for Sphere Fitting (2 of 3)
I sketched a naïve implementation of the GaussNewton algorithm for sphere fitting, and provided an implementation in Octave. While it works fine on a laptop, it uses far too much memory to handle more than a handful of calibration samples … Continue reading
Posted in Mathematics
Tagged Accelerometer, ADXL335, Arduino, Calibration, Gauss–Newton algorithm, Magnetometer, muCSense, Statistics
2 Comments
Implementing the GaussNewton Algorithm for Sphere Fitting (1 of 3)
In some calibration strategies we encounter a sphere fitting problem: we need to find the map that does the best job sending the observed data to a unit sphere. This simple problem statement leaves two critical questions unanswered. What family … Continue reading
Posted in Mathematics
Tagged Accelerometer, Arduino, Calibration, Gauss–Newton algorithm, Magnetometer, muCSense, Statistics
2 Comments