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Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
In computer science, a 4D vector is a 4-component vector data type. Uses include homogeneous coordinates for 3-dimensional space in computer graphics , and red green blue alpha ( RGBA ) values for bitmap images with a color and alpha channel (as such they are widely used in computer graphics).
It is sometimes referred to as "4D Gaussian splatting"; however, this naming convention implies the use of 4D Gaussian primitives (parameterized by a 4×4 mean and a 4×4 covariance matrix). Most work in this area still employs 3D Gaussian primitives, applying temporal constraints as an extra parameter of optimization.
The dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion of dimension (the cardinality of a basis) is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.
Adobe Dimension is a 3D rendering and design software developed and published by Adobe Systems for macOS and Windows operating systems. It was founded as Project Felix on March 28, 2017, and became Dimension on October 18, 2017.
Adobe Creative Suite (CS) is a discontinued software suite of graphic design, video editing, and web development applications developed by Adobe Systems.. The last of the Creative Suite versions, Adobe Creative Suite 6 (CS6), was launched at a release event on April 23, 2012, and released on May 7, 2012. [1]
4D (software), a complete programming environment including database and web server 4D SAS, developers of 4D and Wakanda; 4D Inc, a US-based subsidiary of 4D SAS; 4D BIM, a term used in computer aided design; 4D printing; Cinema 4D, a commercial cross platform 3D graphics application; SGI IRIS 4D, a line of workstations from Silicon Graphics
A three-dimensional figure at which (for objects of dimension greater than four) higher-dimension figures meet. n-Polytope. A n-dimensional figure continuing as above. A specific geometric shape may replace polytope where this is appropriate, such as 4-cube to mean the tesseract. n-cell. A higher-dimension figure containing n cells. Piece. A ...
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