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Here the parametric equation of a line in the view plane is = + where . Now to find the intersection point with the clipping window, we calculate the value of the dot product . Let p E {\displaystyle \mathbf {p} _{E}} be a point on the clipping plane E {\displaystyle E} .
In computer graphics, the Liang–Barsky algorithm (named after You-Dong Liang and Brian A. Barsky) is a line clipping algorithm. The Liang–Barsky algorithm uses the parametric equation of a line and inequalities describing the range of the clipping window to determine the intersections between the line and the clip window.
LEMON has its own graph storing format, the so called Lemon Graph Format and includes general EPS drawing methods and special graph exporting tools. LEMON also includes several miscellaneous tools. For example, it provides simple tools for measuring the performance of algorithms, which can be used to compare different implementations of the ...
A line graph has an articulation point if and only if the underlying graph has a bridge for which neither endpoint has degree one. [2] For a graph G with n vertices and m edges, the number of vertices of the line graph L(G) is m, and the number of edges of L(G) is half the sum of the squares of the degrees of the vertices in G, minus m. [6]
The dependency graph contains all local dependencies with distance not greater than the vector size. So, if the vector register is 128 bits, and the array type is 32 bits, the vector size is 128/32 = 4. All other non-cyclic dependencies should not invalidate vectorization, since there won't be any concurrent access in the same vector instruction.
The starting point is on the line (,) = only because the line is defined to start and end on integer coordinates (though it is entirely reasonable to want to draw a line with non-integer end points). Candidate point (2,2) in blue and two candidate points in green (3,2) and (3,3)
Vector graphics software can be used for manual graphing or for editing the output of another program. Please see: Category:Vector graphics editors; Comparison of vector graphics editors
The cross product operation is an example of a vector rank function because it operates on vectors, not scalars. Matrix multiplication is an example of a 2-rank function, because it operates on 2-dimensional objects (matrices). Collapse operators reduce the dimensionality of an input data array by one or more dimensions. For example, summing ...