Now suppose we wish to represent a 3-dimensional shape which is similar, except that the ribbon doesn't cross itself at the center; rather it is lifted "out of the page" to lie above the other ribbon.

The image generation model is decomposed into three factors — shape, viewpoint, and texture — and first learns to synthesize three-dimensional shapes before computing “2.5D” sketches and ...

One of the works spotlighted is Mesh R-CNN, a method that’s able to predict three-dimensional shapes from images of cluttered and occluded objects. Above: Mesh R-CNN converts 2D objects to 3D ...

This makes it far easier to imagine the three-dimensional object from its two-dimensional image. So can any of these techniques help us visualize Schläfli’s 600-sided, four-dimensional shape?

When proteins are made in a cell, they start out as strings of amino acids, which have to be folded into the correct, 3D ...

To create functional organs, tissues change their shape in three dimensions. While some mechanisms for three-dimensional shapes have been explored, they are not sufficient to explain the diversity ...