A metric invariant of Möbius transformations

On a Metric on Translation Invariant Spaces

In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.

Möbius-invariant natural neighbor interpolation

On iterates of Möbius transformations on fields

Let p be a quadratic polynomial over a splitting field K, and S be the set of zeros of p. We define an associative and commutative binary relation on G ≡ K∪{∞}−S so that every Möbius transformation with fixed point set S is of the form x “plus” c for some c. This permits an easy proof of Aitken acceleration as well as generalizations of known results concerning Newton’s method, the secant metho...

Robust ILC design using Möbius transformations

Abstract: In this paper a general ILC algorithm is examined and it is found that the filters involved can be selected to satisfy frequency-wise uncertainty limits on the plant model. The probability of the plant model being at a given point in the uncertainty space is specified, and the filters are then chosen to maximise the convergence rate that can be expected in practice. The magnitude of t...

Möbius Transformations For Global Intrinsic Symmetry Analysis

The goal of our work is to develop an algorithm for automatic and robust detection of global intrinsic symmetries in 3D surface meshes. Our approach is based on two core observations. First, symmetry invariant point sets can be detected robustly using critical points of the Average Geodesic Distance (AGD) function. Second, intrinsic symmetries are self-isometries of surfaces and as such are con...