The final, formatted version of the article will be published soon. Parallel curves have been used extensively in a variety of fields during the last decade, including architecture, computer graphics, ...

Differential Geometry. Prerequiste: MATH 224. This course studies the geometry of curves and surfaces in Euclidean space: intrinsic and extrinsic geometry, curvature, structural equations of ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

DIFFERENTIAL geometry is a fascinating subject, because it gives us vivid and picturesque embodiments of theorems obtained by the combination of several branches of pure analysis, such as algebra, ...

ABSTRACT: Road traffic accidents are one of the global safety and socioeconomic challenges. According to WHO (2024), it has caused over 1.19 million annual fatalities. It is also projected to cause ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...

This course introduces to some of the central themes of modern Differential Geometry. We start with the important model case of surfaces and their particularly nice curvature geometry. After a short ...

DIFFERENTIAL geometry is a technical and rather forbidding term, but the subject is of the highest interest, and not to mathematicians alone. It includes the whole theory of mapdrawing; it is required ...

Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of ...