2-D transforms for image and video coding

Pulse or digital communications – Bandwidth reduction or expansion – Television or motion video signal

Reexamination Certificate

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C375S240200, C375S240030, C375S240250, C375S240260, C375S240180, C375S240240, C382S233000, C382S250000, C382S251000, C382S235000, C382S248000

Reexamination Certificate

active

10376147

ABSTRACT:
A set of one and two-dimensional transforms is constructed subject to certain range limited constraints to provide a computationally efficient transform implementation, such as for use in image and video coding. The constraints can include that the transform has a scaled integer implementation, provides perfect or near perfect reconstruction, has a DCT-like basis, is limited to coefficient within a range for representation in n-bits (e.g., n is 16 bits), has basis functions that are close in norm, and provides sufficient headroom for overflow of the range. A set of transforms is constructed with this procedure having an implementation within a 16-bit integer range for efficient computation using integer matrix multiplication operations.

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