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This lecture by the instructor covers the introduction to optimal transforms, classical 2D transforms, wavelet transforms, generalized filtering, and image coding. It also explores applications such as data processing, image enhancement, denoising, Wiener filter, data compression, data analysis, feature extraction, and transform types. The lecture delves into linear algebra, basis vectors, transforms, inner product, dual basis, orthogonal transforms, and 2nd-order statistics in image processing.