Publisher review:fitellipse - Fit ellipses to 2D points using linear or nonlinear least squares There are two main methods for least squares ellipse fitting:1) Minimise algebraic distance, i.e. minimise sum(F(x)^2) subject to some constraint, where F(x) = x'Ax b'x cThis is a linear least squares problem, and thus cheap to compute. There are many different possible constraints, and these produce different fits. fitellipse supplies two:[z, a, b, al] = fitellipse(x, 'linear')[z, a, b, al] = fitellipse(x, 'linear', 'constraint', 'trace')See published demo file for more information. 2) Minimise geometric distance - i.e. the sum of squared distance from the data points to the ellipse. This is a more desirable fit, as it has some geometric meaning. Unfortunately, it is a nonlinear problem and requires an iterative method (e.g. Gauss Newton) to solve it. This is implemented as the default option in fitellipse. If it fails to converge, it fails gracefully (with a warning), returning the linear least squares estimate used to derive the start value[z, a, b, alpha] = fitellipse(x)plotellipse(z, a, b, alpha) can be used to plot the fitted ellipses Requirements: ยท MATLAB Release: R14SP3
fitellipse is a Matlab script for Mathematics scripts design by Richard Brown.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris