CVJul 16, 2016

New version of Gram-Schmidt Process with inverse for Signal and Image Processing

arXiv:1607.04759v11 citations
Originality Synthesis-oriented
AI Analysis

This is an incremental improvement for signal and image processing applications.

The paper tackles the problem of converting non-orthogonal bases to orthonormal ones by introducing an enhanced Gram-Schmidt Process with inverse, which is applied to digital signal and image processing.

The Gram-Schmidt Process (GSP) is used to convert a non-orthogonal basis (a set of linearly independent vectors, matrices, etc) into an orthonormal basis (a set of orthogonal, unit-length vectors, bi or tri dimensional matrices). The process consists of taking each array and then subtracting the projections in common with the previous arrays. This paper introduces an enhanced version of the Gram-Schmidt Process (EGSP) with inverse, which is useful for Digital Signal and Image Processing, among others applications.

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