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.
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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
11 minutes 57 seconds
2 years ago
Bringing Photographs to Life
Dr. Rekha Thomas from the University of Washington discusses three-dimensional image reconstructions from two-dimensional photos.
The mathematics of image reconstruction is both simpler and more abstract than it seems. To reconstruct a 3D model based on photographic data, researchers and algorithms must solve a set of polynomial equations. Some solutions to these equations work mathematically, but correspond to an unrealistic scenario — for instance, a camera that took a photo backwards. Additional constraints help ensure this doesn't happen. Researchers are now investigating the mathematical structures underlying image reconstruction, and stumbling over unexpected links with geometry and algebra.
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.