Abstract: Systems and methods for structuring information include determining information quantity (IQ) and information value (IV) in an original digital information file (ODIF). An initial manipulation process applied to the ODIF forms a first resulting DIF (FRDIF), and a subsequent manipulation process applied to the FRDIF forms a second resulting DIF, wherein each manipulation process removes at least one element of the processed DIF and/or represents an element combination with a representative element and a first indicia of an interrelationship between the representative element and one or more elements in the combination, to reduce the IQ of the processed DIF, while retaining the IV thereof within a threshold. Manipulation processes are successively applied to the previously resulting DIF until successive applications do not achieve a threshold reduction in IQ. The last resulting DIF has a primary structure with a reduced IQ and an IV within the threshold of the original IV.

Abstract: A method, apparatus, and computer program product for calculating a sampled signal are disclosed. A method in accordance with the disclosure may include determining discrete samples of a continuous signal having a finite spectrum and using a function series expansion to calculate at least a portion of the continuous signal over the discrete samples. In accordance with some embodiments, an original signal may be calculated over discrete samples with arbitrary accuracy. Polyphase filtering is not used in some embodiments. Some embodiments can be used for arbitrary, including irrational, variation of the sampling rate of the signal with a bounded spectrum. Some embodiments provide for much faster calculation than direct application of the Kotelnikov (Nyquist-Shannon) theorem. In some embodiments, the calculation may be performed according to the disclosed theorem but, instead of discrete signal convolutions with kernels having different phases, a function series expansion may be used.

Abstract: Systems and methods for structuring information include determining information quantity (IQ) and information value (IV) in an original digital information file (ODIF). An initial manipulation process applied to the ODIF forms a first resulting DIF (FRDIF), and a subsequent manipulation process applied to the FRDIF forms a second resulting DIF, wherein each manipulation process removes at least one element of the processed DIF and/or represents an element combination with a representative element and a first indicia of an interrelationship between the representative element and one or more elements in the combination, to reduce the IQ of the processed DIF, while retaining the IV thereof within a threshold. Manipulation processes are successively applied to the previously resulting DIF until successive applications do not achieve a threshold reduction in IQ. The last resulting DIF has a primary structure with a reduced IQ and an IV within the threshold of the original IV.

Abstract: Systems and methods for structuring information include determining information quantity (IQ) and information value (IV) in an original digital information file (ODIF). An initial manipulation process applied to the ODIF forms a first resulting DIF (FRDIF), and a subsequent manipulation process applied to the FRDIF forms a second resulting DIF, wherein each manipulation process removes at least one element of the processed DIF and/or represents an element combination with a representative element and a first indicia of an interrelationship between the representative element and one or more elements in the combination, to reduce the IQ of the processed DIF, while retaining the IV thereof within a threshold. Manipulation processes are successively applied to the previously resulting DIF until successive applications do not achieve a threshold reduction in IQ. The last resulting DIF has a primary structure with a reduced IQ and an IV within the threshold of the original IV.

Abstract: A method, apparatus, and computer program product for calculating a sampled signal are disclosed. A method in accordance with the disclosure may include determining discrete samples of a continuous signal having a finite spectrum and using a function series expansion to calculate at least a portion of the continuous signal over the discrete samples. In accordance with some embodiments, an original signal may be calculated over discrete samples with arbitrary accuracy. Polyphase filtering is not used in some embodiments. Some embodiments can be used for arbitrary, including irrational, variation of the sampling rate of the signal with a bounded spectrum. Some embodiments provide for much faster calculation than direct application of the Kotelnikov (Nyquist-Shannon) theorem. In some embodiments, the calculation may be performed according to the disclosed theorem but, instead of discrete signal convolutions with kernels having different phases, a function series expansion may be used.

Abstract: Systems and methods for structuring information include determining information quantity (IQ) and information value (IV) in an original digital information file (ODIF). An initial manipulation process applied to the ODIF forms a first resulting DIF (FRDIF), and a subsequent manipulation process applied to the FRDIF forms a second resulting DIF, wherein each manipulation process removes at least one element of the processed DIF and/or represents an element combination with a representative element and a first indicia of an interrelationship between the representative element and one or more elements in the combination, to reduce the IQ of the processed DIF, while retaining the IV thereof within a threshold. Manipulation processes are successively applied to the previously resulting DIF until successive applications do not achieve a threshold reduction in IQ. The last resulting DIF has a primary structure with a reduced IQ and an IV within the threshold of the original IV.

Abstract: A point-based rendering apparatus, method and medium. The point-based rendering apparatus includes a projector to project a point model and to generate a plurality of rendered points, a radius calculator to calculate a radius, corresponding to a predetermined resolution of each of the rendered points, and a splat generator to generate at least one of a hemi-spherical and a spherical splat having the radius of each of the rendered points.

Abstract: Provided are an adaptive rendering apparatus and method using a hierarchical structure in a 3D image and a computer-readable recording medium storing a computer program for executing the adaptive rendering method. The adaptive rendering apparatus includes a cell data provision unit, which divides an original 3D image into a plurality of lattice cells that are connected to one another in a hierarchical structure according to predetermined rendering conditions and outputs a plurality of cell data of an area of the original 3D image corresponding to the lattice cells, and a rendered image generation unit, which generates a 3D rendered image by arranging the cell data output from the cell data provision unit according to the hierarchical structure.

Abstract: A method and apparatus for rendering 3D graphic data is provided. The 3D graphic data is projected onto a 2D screen and points are interpolated and rendered, thereby quickly processing the 3D graphic data.

Abstract: A point-based rendering apparatus, method and medium. The point-based rendering apparatus includes a projector to project a point model and to generate a plurality of rendered points, a radius calculator to calculate a radius, corresponding to a predetermined resolution of each of the rendered points, and a splat generator to generate at least one of a hemispherical and a spherical splat having the radius of each of the rendered points.

Abstract: A method and apparatus for rendering 3D graphic data is provided. The 3D graphic data is projected onto a 2D screen and points are interpolated and rendered, thereby quickly processing the 3D graphic data.

Abstract: A 3-dimensional (3D) point-based modeling system, medium, and method, with system generating scene information by using point information in relation to a 3D polygon object and position, rotation, and size information of a 3D polygon object in a scene such that the modeling speed of a 3D image can be enhanced, the entire scene being effectively managed, and the resolution in relation to each object can being adjusted conveniently.

Abstract: Provided are an adaptive rendering apparatus and method using a hierarchical structure in a 3D image and a computer-readable recording medium storing a computer program for executing the adaptive rendering method. The adaptive rendering apparatus includes a cell data provision unit, which divides an original 3D image into a plurality of lattice cells that are connected to one another in a hierarchical structure according to predetermined rendering conditions and outputs a plurality of cell data of an area of the original 3D image corresponding to the lattice cells, and a rendered image generation unit, which generates a 3D rendered image by arranging the cell data output from the cell data provision unit according to the hierarchical structure.