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A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector, with the other end fixed. [1] The position of any plotted data on such a diagram is proportional to the velocity of the moving particle. [2] It is also called a velocity diagram.
Shock polar in the pressure ratio-flow deflection angle plane for a Mach number of 1.8 and a specific heat ratio 1.4. The minimum angle, , which an oblique shock can have is the Mach angle = (/), where is the initial Mach number before the shock and the greatest angle corresponds to a normal shock.
The mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50 years later when mathematician Paul de Casteljau in 1959 developed de Casteljau's algorithm, a numerically stable method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker Citroën ...
This follows the trajectory of other software advances such as word processing and grammar checks, video editing, and Photoshop: functional improvements that lower barriers to creating and sharing ...
In CAD area this is a drawback, because CAD systems use polynomials or rational curves. In order to get at least rational curves, the square root of the representation of the parallel curve has to be solvable. Such curves are called pythagorean hodograph curves and were investigated by R.T. Farouki. [14]
Adobe Photoshop is a raster graphics editor developed and published by Adobe for Windows and macOS.It was created in 1987 by Thomas and John Knoll.It is the most used tool for professional digital art, especially in raster graphics editing, and its name has become genericised as a verb (e.g. "to photoshop an image", "photoshopping", and "photoshop contest") [7] although Adobe disapproves of ...
Projection mapping of a pattern onto curved surfaces. Projection mapping, similar to video mapping and spatial augmented reality, is a projection technique [1] [2] used to turn objects, often irregularly shaped, into display surfaces for video projection.
[4]: 289 Storm splitting becomes less pronounced as hodograph curvature increases, resulting in shorter-lived anticyclonic cells. [3] In extreme cases, where there is a strongly curving hodograph, the suppressed updraft will be so weak from the start, the splitting process will not be evident on radar, and a dominant cell will immediately be ...