Generating artificial light curves: revisited and updated

Classical Cepheid Light Curves Revisited

The Mac Revisited and Updated

7% paper presenh a new model correlation technique based on an iteration of the MAC meficient. The validation of II complex model such IIS rl complete rotating machine cm be very di#icult. It depends upon cmwct loadiwtion of modelling errors which few existing cow&ion methods hmv succeeded. ‘Ibe MAC value has been used in model correlation, but it is not suficiient to locate errors. A subsequen...

Twisted Edwards Curves Revisited

This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a wide range of applications. Notably, the new addition algorithm uses 8M for suitably selected curve constants. In comparison, the fastest point addition algorithms for (twisted) Edwards curves stated in the literature ...

Self-overlapping curves revisited

Let S be a surface embedded in space in such a way that each point has a neighborhood within which the surface is a terrain. Then S projects to an immersed surface in the plane, the boundary of which is a (possibly self-intersecting) curve. Under what circumstances can we reverse these mappings algorithmically? Shor and van Wyk considered one such problem, determining whether a curve is the bou...

Jacobi Quartic Curves Revisited

This paper provides new results about efficient arithmetic on (extended) Jacobiquartic form elliptic curves y = dx + 2ax + 1. Recent works have shown thatarithmetic on an elliptic curve in Jacobi quartic form can be performed solidly fasterthan the corresponding operations in Weierstrass form. These proposals use up to 7coordinates to represent a single point. However, fast scal...