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2 1sin 1 sin 4 2 tan 1 4 2 tan. e eB B e B K L. α π ϕ απ λ α ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟= + ⎠ ⎞ ⎜ ⎝ ⎛ + =. (1) where ϕ, λ are the latitude and the longitude on the sphere, B, Lare the latitude and the longitude on the ellipsoid, eis the first eccentricity of the ellipsoid and α, Kare parameters of that mapping.
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Visualizing a projection onto a plane. This is the currently selected item. Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different. A strategy might look like this: 1) Find the normal vector to the plane 2) Find equations of lines perpendicular to...Parallel projection projects points of objects like curves or surfaces onto a plane by parallel rays. If the rays are orthogonal to the image plane the method is called orthographic projection. Other cases are called skew parallel projections. In case of a horizontal image plane one gets a bird’s eye-view. Figure 1.1: Orthogonal parallel ...
Projection to the plane x = 1. We project the point (x;y;1) along a line through the origin, i.e., we scale this point, to get a point on the plane x = 1: (x;y;1) 1; y x; 1 x : Let u := y x and v := 1 x: We use the coordinates to identify the plane x = 1 with the ordinary plane R2. It follows that x = 1 v and y = u v: Plug these into system 1: x0= P(x;y) ) 1 v 0 = P 1 v; u v
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