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Additionally, the individual frames were scanned for computer processing. Using sophisticated interpolation software, extra frames could be inserted to slow down the action further and improve the fluidity of the movement (especially the frame rate of the images); frames could also be dropped to speed up the action. This approach provides ...
The frame condition was first described by Richard Duffin and Albert Charles Schaeffer in a 1952 article on nonharmonic Fourier series as a way of computing the coefficients in a linear combination of the vectors of a linearly dependent spanning set (in their terminology, a "Hilbert space frame"). [4]
Master animators would draw key frames of the film, then, junior animators would draw the in-between frames. This is called inbetweening or tweening and the overall process is called "key frame animation". To make these motions appear realistic, interpolation algorithms have been sought which follow, or approximate real life motion dynamics.
A directed graph or digraph is a graph in which edges have orientations. In one restricted but very common sense of the term, [5] a directed graph is an ordered pair = (,) comprising: , a set of vertices (also called nodes or points);
A path graph or linear graph of order n ≥ 2 is a graph in which the vertices can be listed in an order v 1, v 2, …, v n such that the edges are the {v i, v i+1} where i = 1, 2, …, n − 1. Path graphs can be characterized as connected graphs in which the degree of all but two vertices is 2 and the degree of the two remaining vertices is 1.
Sometimes the term linear operator refers to this case, [1] but the term "linear operator" can have different meanings for different conventions: for example, it can be used to emphasize that and are real vector spaces (not necessarily with =), [citation needed] or it can be used to emphasize that is a function space, which is a common ...
Graphs occur frequently in everyday applications. Examples include biological or social networks, which contain hundreds, thousands and even billions of nodes in some cases (e.g. Facebook or LinkedIn). 1-planarity [1] 3-dimensional matching [2] [3]: SP1 Bandwidth problem [3]: GT40 Bipartite dimension [3]: GT18
An early use of the freeze frame in classic Hollywood cinema was Frank Capra's 1946 Christmas film It's a Wonderful Life where the first appearance of the adult George Bailey (played by James Stewart) on-screen is shown as a freeze frame. A memorable freeze frame is the end of François Truffaut's 1959 New Wave film The 400 Blows. Satyajit Ray ...