"In a convolution there is the input \"image\" and the \"filter\". The smaller sized filter slides (\"convolves\") accross the \"image\" and computes dot products for each position in the slide. This ...

The structure of proteins involves 3D geometry of amino acid coordinates and 1D sequence of peptide chains. The 3D structure exhibits irregularity because amino acids are distributed unevenly in ...

Abstract: High-dimensional image representation is a challenging task since data has the intrinsic low-dimensional and shift-invariant characteristics. Currently, popular methods, such as ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Abstract: We derive expressions for convolution multiplication properties of discrete cosine transform II (DCT II) starting from equivalent discrete Fourier transform (DFT) representations. Using ...

Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...