Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
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Speaker |
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Prof. H. N. Mhaskar |
| Affiliation | : | California State University Los Angeles, U.S.A |
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall - I, Dept of Mathematics
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Time |
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4.00 pm
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Date |
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February 11,2008 (Monday) |
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Title |
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Edge detection and local approximation using spectral data |
| Abstract | : | We discuss the question of identifying local features of a function, such as the discontinuities in its derivatives, membership in local smoothness classes, etc., given global information about the function in the form of its Fourier coefficients with respect to an orthonormal system. We present a unifying theme for some of the recent work on trigonometric and algebraic polynomial frames on the circle, the unit interval, the Euclidean sphere, and a smooth manifold in general. Applications include direction finding in phased array antennas, estimation of the velocity of the gulf stream, and semi-supervised learning of hand written digits. |