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In Pixar’s Onward, the character Dad had an upper half which consisted of a stuffed hoodie, puffy vest, and garden gloves. The arms were floppy, stuffed sleeves able to swing freely while the head was a cinched, stuffed hood topped with a cap and ...

We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutative algebra and polyhedral geometry. For instance, we show that the j-...

We have developed a novel hierarchical data structure for the efficient representation of sparse, time-varying volumetric data discretized on a 3D grid. Our “VDB”, so named because it is a Volumetric, Dynamic grid that shares several characteristics ...