Abstract: A support stand for photography includes a support main body having supporting ends and a mounting end and an adapting device provided at the mounting end. The supporting ends are formed on supporting legs of the support main body. The supporting legs can be unfolded to allow two adjacent supporting ends to move away from each other. The supporting legs can be folded to allow the two adjacent supporting ends to move close to each other and form a gap between two adjacent supporting legs. The adapting device includes a fixed seat provided with an adapting structure for mounting a first photographic equipment and a clamping seat configured to clamp a second photographic equipment. The clamping seat is rotatably connected to the fixed seat. The clamping seat can rotate toward a side where the supporting ends are located to be accommodated in the gap between the two adjacent supporting legs.

Abstract: The current document is directed to systems and methods that incorporate a dimensional transform that maps a 3D space to a one-dimensional space with an implicit recursive hierarchical structure that preserves 3D neighborhoods. A regional or neighborhood search for points in a 3D subspace is reduced, by the dimensional transform, to one or more searches in the transformed 1D space. The search is performed by either recursive decomposition of the 3D space indexed by the transform into subspaces, exploiting the transformed space structure, or by direct indexing into the region of interest. Performance of the control systems and methods is further enhanced by incorporating one or more black-white arrays, which support-searches over one-dimensional spaces as well as dynamic 3D spaces. Dimensional-transform-based methods also provide for point-cloud voxelization and voxel map operations.

Abstract: First audit information corresponding to a first set of log entries associated with a transformation performed on first data is obtained, where the first audit information includes a first commutative result produced by applying a commutative function to object identifiers associated with the first set of log entries. Second audit information corresponding to a second set of log entries associated with the transformation performed on second data is obtained, with the second data being a different representation of the first data and where the second audit information includes a second commutative result produced by applying the commutative function to object identifiers associated with the second set of log entries. The first commutative result is compared with the second commutative result to validate whether the second data matches the first data. One or more actions are performed depending on whether the second data is the successful transformation of the first data.