A New Ellipse or Math Porcelain Service

A New Efficient Ellipse Detection Method

In this paper, we introduce a new method for ellipse detection. This method takes the advantages of major axis of an ellipse to find ellipse parameter fast and efficiently. It only needs an one-dimensional accumulator array to accumulate the length information for minor axis of the ellipse. This method does not require the evaluation of the tangents or curvatures of the edge contours, which are...

Statistics - Magic or Math?

I used to hate statistics. Like many of you I first learned how to assess statistical significance through a variety of seemingly arbitrary formulas handed to me in Statistics 215. Sure I could calculate an answer, but I might as well have been attending Hogwart’s School of Witchcraft and Wizardry ; I saw no reason why any such formula should give a decree as to why certain things should be con...

A New Hough Transform Mapping for Ellipse Detection

Detecting geometric primitives in images is one of the basic tasks of computer vision. The Hough transform (HT) and its extensions constitute a popular method for extracting geometric shapes. Primitives on the HT are represented by parametric curves with a number of free parameters. The principal concept of the HT is to define a mapping between an image space and a parameter space. Each edge po...

G Math – A New Paradigm for Mathematics

LabVIEW from its inception has been developed primarily for the purpose of improving measurement tasks. Until recently, it was not clear that LabVIEW or the graphical programming technology could deal with extremely complex mathematical routines. There have been some examples created using the G programming language paradigm to implement mathematical algorithms, but most of these past examples ...

New Math of Computer Programming