Fitting a Circle to Cluster of 3D Points¶ This article describes a method how to fit a circle to the cluster of points in 3D space. It utilizes the singular value decomposition (SVD) and the method of least-squares for the optimal circle fitting. 1 Introduction¶ Assume we have a set of $n$ points $\mathbf{P}_0,\dots,\mathbf{P}_{n-1}$, where $\mathbf{P}_i = (x_i, y_i, z_i)^T \in \mathbb{R}^3$. We w