Least square ellipsoid fitting using iterative orthogonal transformations

Least square ellipsoid fitting using iterative orthogonal transformations

We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented ellipsoids. This new method also provides for the retrieval of rotational angle and length of semi-axes of the fitted ellipsoids accurately. We demonstrate the...

Ellipse-specific direct least-square fitting

This work presents the rst direct method for specii-cally tting ellipses in the least squares sense. Previous approaches used either generic conic tting or relied on iterative methods to recover elliptic solutions. The proposed method is (i) ellipse-speciic, (ii) directly solved by a generalised eigen-system, (iii) has a desirable low-eccentricity bias, and (iv) is robust to noise. We provide a...

Direct Least Square Fitting of Ellipses

This work presents a new e cient method for tting ellipses to scattered data. Previous algorithms either tted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac b = 1 the new method incorporates the ellipticity constraint into the normalization factor. The proposed method combines several advantages: (i) It is ellipse-speci c so ...

Orthogonal Least Square with Boosting for Regression

Fast Global Motion Estimation using Iterative Least-Square Estimation Technique

Global motion estimation is an important task in a variety of video processing applications, such as coding, segmentation, classificatiodindexing, and mosaicing. The main difficulty in global motion parameter estimation resides in the disturbances due to the independently moving objects. The Iterarive Leaf-Square Estimati’on (USE) technique [l] is commonly used in estimating a fourparameter mod...