Adaptive projective filters for track finding

Four-point transformation methods in approximation and the smoothing problems

“…This approach extends the framework of known classical methods and improves the quality and efˇciency of approximation algorithms. A number of methods and algorithms have been developed using DPT: the adaptive projectivě lters for trackˇnding [8]; DPT-function parametrization for uniform approximation over the whole interval [9]; polynomial approximation f (x) ∈ C (n) [a,b] , f (x) ∈ L 2 [9]. Comparison of DPT approximation with Chebyshev and Pade approximation has been done.…”

“…A polynomial with such properties can be constructed using 4-point transformations or DPT (Discrete Projective Transforms) that have been developed specially for these purposes [6,8,9]. It is necessary to note two essential moments in the structure of the polynomial model based on DPT.…”