Mathematical Moments from the American Mathematical Society
American Mathematical Society
138 episodes
9 months ago
Mathematical Moments promote an appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Hear experts talk about how they use mathematics in various applications from improving film animation to analyzing voting strategies.
All content for Mathematical Moments from the American Mathematical Society is the property of American Mathematical Society and is served directly from their servers
with no modification, redirects, or rehosting. The podcast is not affiliated with or endorsed by Podjoint in any way.
Mathematical Moments promote an appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Hear experts talk about how they use mathematics in various applications from improving film animation to analyzing voting strategies.
Mathematical Moments from the American Mathematical Society
10 minutes 44 seconds
3 years ago
Deblurring Images
Malena Espanol explains how she and others use linear algebra to correct blurry images.
Imagine snapping a quick picture of a flying bird. The image is likely to come out blurry. But thanks to mathematics, you might be able to use software to improve the photo. Scientists often deal with blurry pictures, too. Linear algebra and clever numerical methods allow researchers to fix imperfect photos in medical imaging, astronomy, and more. In a computer, the pixels that make up an image can be represented as a column of numbers called a vector. Blurring happens when the light meant for each pixel spills into the adjacent pixels, changing the numbers in a way that can be mathematically represented as an enormous matrix. But knowing that matrix is not enough if you want to reconstruct the original (non-blurry) image.
Mathematical Moments from the American Mathematical Society
Mathematical Moments promote an appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Hear experts talk about how they use mathematics in various applications from improving film animation to analyzing voting strategies.