Here are some images from the Mathematics Awareness Week Poster.
Captions for the four baboon images (from the top):
Wavelet 300:1 compression (preserves all but fine structure)
Wavelet 30:1 compression (preserves fine structure of bristles)
The original image is the sum of the three. Each pulls outdifferent features of the original. We can think of the images as being synthesized by three different instruments, in a way similar to a musicalorchestration where the final sound is the sum of the notes from each instrument.
This mathematical transcription is useful for a more efficient and accuratestorage and processing of imaging data, but also provides tools for denoisingand identifying structure in images. For example, it can sharpen detail inmedical images, such as MRI, and be used to identify particular objectsfor diagnostic purposes.
Mathematics Awareness Week is sponsored by the
Joint Policy Board for Mathematics:
American Mathematical Society
Mathematical Association of America
Society for Industrial and Applied Mathematics
Images provided by Ronald Coifman, Yale University
-- Steven Weintraub
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These web essays are designed for those who have already discovered the joys of mathematics as well as for those who may be uncomfortable with mathematics.
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