A 3D quasiperiodic tiling derived from a cuboctabedron is obtained by projection from 6D lattice space to 3D tile-space, one less dimensional lattice space than the conventional one. A lattice matrix defining projections from 6D lattice space to tileand test-space is given and its geometric properties are investigated.

Recent advancements in deep learning opened new opportunities for learning a high-quality 3D model from a single 2D image given sufficient training on large-scale data sets. However, the significant imbalance between available amount of images and 3D models, and the limited availability of labeled 2D image data (i.e. manually annotated pairs between images and their corresponding 3D models), se...

For realistic virtual model generation two main problems have to be solved: to achieve the required geometric accuracy in object description and to obtain the highest reachable texture similarity. Recently digital close-range photogrammetry offers precise and flexible means for the first problem solution accurate geometric 3D reconstruction. Besides images acquired for 3D reconstruction can be ...

In building the 3D voxel exemplars, we voxelize a 3D CADmodel into a distribution of 3D voxels. Since 3D CAD models from the web repositories, such as the Trimble 3D Warehouse [1], are usually irregular and not water-tight. We employ the volumetric depth map fusion technique, which is widely used in dense 3D reconstruction in the literature [7], to build the voxel representation of a 3D CAD mod...

Public law affects contemporary life by imposing various regulations that apply in 3D space. However, such restrictions are either literally described in legal documents or presented on a horizontal plane, resulting in ambiguities, especially in the case of vertically overlapping restrictions with a significant impact on land management. This paper investigates public law restrictions (PLR) app...

We present a novel method for hardwareaccelerated texture advection of 3D velocity fields defined on curvilinear grids. For uniform rectilinear grids, texture advection can be efficiently performed within the rasterization unit by existing approaches. In a pre-processing step, the vector field is transformed from the curvilinear grid (P-Space) to a uniform rectilinear grid (C-Space). Hardware a...

Space curve sketching using 2D user interface is a challenging task and forms the foundation for almost all sketch based modeling systems. Since the inverse projection from 2D to 3D is a one to many function, there is no unique solution. In this paper, we propose to interpret the given 2D curve to be the projection of the 3D curve that has minimum curvature among all the candidates in 3D. We pr...

We propose a novel 3D neural network architecture for 3D hand pose estimation from a single depth image. Different from previous works that mostly run on 2D depth image domain and require intermediate or post process to bring in the supervision from 3D space, we convert the depth map to a 3D volumetric representation, and feed it into a 3D convolutional neural network(CNN) to directly produce t...

Many animals, on air, water, or land, navigate in three-dimensional (3D) environments, yet it remains unclear how brain circuits encode the animal's 3D position. We recorded single neurons in freely flying bats, using a wireless neural-telemetry system, and studied how hippocampal place cells encode 3D volumetric space during flight. Individual place cells were active in confined 3D volumes, an...