Complex geometry sits at the intersection of algebraic geometry, differential geometry, and complex analysis, and uses tools from all three areas. Because of the blend of techniques and ideas from various areas, problems in complex geometry …

2024年12月1日 · Geometric complexes constructed on the point cloud of a 3D object capture the geometry as well as topological features of the underlying shape space. Leveraging this aspect of geometric complexes, we present an attention-based dual stream graph neural network (DS-GNN) for 3D shape classification.

2022年5月11日 · Stereo digital image correlation technique (stereo-DIC or 3D-DIC) has been widely used in three-dimensional (3D) shape and deformation measurement due to its...

2024年1月5日 · We discuss the software implementation of a finite element method, intended for the simulation of complex-geometry 3D flows, using hardware resources effectively, including problems with a priori unknown, heterogeneous, and dynamic parallel computational load.

2007年2月8日 · These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.

3D Sculptor and 3D Creator address this workflow head on. 3D Sculptor provides subdivisional (sub-d) modeling to power the creation of complex geometry and organic shapes: fast and easy. You start with something akin to a ball of clay that you can push, pull, and stretch. You progressively add more

This section is an introduction to complex geometry. For other references in the style of these notes, see Kodaira’s book [19], Chapter 1 of Siu’s notes [24], Chapter 1 of Song-Weinkove’s notes [25], or

Contents: The primary goal of this Module is to present some fundamental techniques from several complex variables, Hermitian di erential geometry (and partial di erential equations, potential theory, functional analysis), to study the geometry of complex, and …

In this article at OpenGenus, we have introduced 3D space and shapes, describing various aspects such as planes and axis, along with adjustments needed for 3D calculation of things such as distance between points. As well as detail numerous useful formulas for surface area and volume for many essential shapes.

This math topic focuses on identifying and classifying complex 3D shapes as part of an introductory unit on shape classification in geometry. The practice problems require recognizing and naming various 3D shapes including cones, spheres, cubes, prisms (triangular, hexagonal, rectangular, and pentagonal), pyramids (square, rectangular ...