Object-oriented tools to fit/plot conics and quadrics

A tool set for fitting and/or plotting various conics and quadric surfaces, e.g., ellipses, cylinders, spheres, planes, cones, and lines.

This FEX submission offers a tool set for fitting and plotting 2D conics (ellipses, circles, lines,...) as well as 3D quadric surfaces (ellipsoids, spheres, planes, cylinders, cones,...). Each type of fit is represented by an object within a class hierarchy. For each fit type, overloaded methods are provided for fitting the data, as well as post-plotting an overlay of the fit onto the raw data in a style similar to the Curve Fitting Toolbox. There are also methods for re-sampling the fit at a user-selected set of points.

Finally, the tools allow one to construct "ground truth" objects representing a conic/quadric with pre-selected parameters. This makes it possible to simply plot a desired ellipse or other supported shape regardless of whether it arises from a fitting process at all.

Currently, not all curve/surface types in the conic/quadric family are covered by this tool set, although I may add more over time. For now, I provide a subset of the ones that seem to be the most commonly encountered. Similarly, most fitting algorithms used by the tool set are very basic algebraic methods, although I may add more refined algorithms as the need and interest arise.

Various example uses of these tools are illustrated in the Examples tab.