One of Vaníček's main contributions of general relevance is least-squares spectral analysis,[2] also called the Vaníček method[3] and the Gauss-Vaniček method[4] — a frequency spectrum computation method published in 1969[5] and 1971.[6] It is based on a least-squares fit of sinusoids to the data samples, and mitigates the drawbacks of applying Fourier analysis for analyzing long incomplete data records such as most naturaldatasets.[7] Unlike with Fourier analysis, data need not be equally spaced to use Vaníček analysis.
This and other activities led to creation of the technical supplement to the Law of the Sea, TALOS (Manual on Technical Aspects of the United Nations' Convention on the Law of the Sea) in 1982, which is on a regular re-issuing schedule by the UN. The Geodetic Commentary to the TALOS Manual, largely prepared by Vaníček and published by the International Hydrographic Organization in 1996, was incorporated into the Manual.[14]
The book Geodesy: The Concepts,[15] by Vaníček and Krakiwsky, now translated into several languages, is a standard text for both undergraduate and graduate courses in geodesy worldwide.[16][17]
Over the course of his career, he taught or performed research at universities and labs across six continents, including the Royal Institute of Technology and the USGS.[19]
Since he was born into a typical bourgeois family, Petr Vaníček's wife and children requested to leave Communist Czechoslovakia during the brief but liberal times of Prague Spring. They were granted exit visa just before the Soviet invasion of 1968. The family reunited in England where he was staying on a 1967 Senior Research Fellowship at the University of Liverpool. Together, they immigrated to Canada in 1969. He has one daughter and two sons.[19]
^Pagiatakis, S. Stochastic significance of peaks in the least-squares spectrum, J of Geodesy 73, pp. 67–78 (1999).
^Taylor J., Hamilton S. Some tests of the Vaníček method of spectral analysis, Astrophysics and Space Science, International Journal of Cosmic Physics, D. Reidel Publishing Co., Dordrecht, Holland (1972)