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Bounds on (Deterministic) Correlation Functions with Application to Registration
February 1983 (vol. 5 no. 2)
pp. 206-213
| ASCII Text | x | ||
| V. N. Dvornychenko, "Bounds on (Deterministic) Correlation Functions with Application to Registration," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 5, no. 2, pp. 206-213, February, 1983. | |||
| BibTex | x | ||
| @article{ 10.1109/TPAMI.1983.4767373, author = {V. N. Dvornychenko}, title = {Bounds on (Deterministic) Correlation Functions with Application to Registration}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {5}, number = {2}, issn = {0162-8828}, year = {1983}, pages = {206-213}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.1983.4767373}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Pattern Analysis and Machine Intelligence TI - Bounds on (Deterministic) Correlation Functions with Application to Registration IS - 2 SN - 0162-8828 SP206 EP213 EPD - 206-213 A1 - V. N. Dvornychenko, PY - 1983 VL - 5 JA - IEEE Transactions on Pattern Analysis and Machine Intelligence ER - | |||
The auto/cross correlation of L2 functions are constrained by certain bounds which may often be used to advantage. These bounds apply to all the common cross correlation functions used for registration purposes (called ``deterministic'' correlation functions in this paper, as opposed to stochastic correlation based on non-L2 functions). It is shown that the envelopes of deterministic autocorrelations have essentially a cosine-like behavior but with jump discontinuities at points where the normalized relative displacement is the reciprocal of an integer. Several inequalities extending these results are given. It is shown how these can be applied toward obtaining improved registration algorithms.
Citation:
V. N. Dvornychenko, "Bounds on (Deterministic) Correlation Functions with Application to Registration," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 5, no. 2, pp. 206-213, Feb. 1983, doi:10.1109/TPAMI.1983.4767373
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