Calculating distortion on Equirectangular Projection

What is the formula for equirectangular projection?

The top figure, called the equi-rectangular projection is perhaps the simplest of all map projections; its formula is T(ϕ, θ)=(θ, ϕ). The other is Lambert’s equal area cylindrical projection; its formula is T(ϕ, θ)=(θ, sin(ϕ)).

Is there distortion in a conformal projection?

A map that preserves shape is conformal. Even on a conformal map, shapes are a bit distorted for very large areas, like continents. A conformal map distorts area—most features are depicted too large or too small. The amount of distortion, however, is regular along some lines in the map.

What distortion do you see on a globe?

There are four main types of distortion that come from map projections: distance, direction, shape and area. The Mercator projection, for example, distorts Greenland because of its high latitude, in the sense that its shape and size are not the same as those on a globe.
 

What is the distortion of the Mercator projection?

The popular Mercator projection distorts the relative size of landmasses, exaggerating the size of land near the poles as compared to areas near the equator. This map shows that in reality, Brazil is almost as large as Canada, even though it appears to be much smaller on Mercator maps.
 

Is equirectangular projection equal area?

The projection is neither equal area nor conformal. Because of the distortions introduced by this projection, it has little use in navigation or cadastral mapping and finds its main use in thematic mapping.

What aspect ratio is equirectangular projection?

2:1

Scanning cameras sometimes cover more than one 360° turn but software often assumes that equirectangular images cover 360° horizontally and 180° vertically, i.e. make sure that your equirectangular image has a proper aspect ratio of 2:1.

What is distortion in projection?

[map projections] On a map or image, the misrepresentation of shape, area, distance, or direction of or between geographic features when compared to their true measurements on the curved surface of the earth.

Which map projection has distortion?

Conformal projections preserve angles around all locations. Because the linear scale of a Mercator map increases with latitude, it distorts the size of geographical objects far from the equator and conveys a distorted perception of the overall geometry of the planet.

What are the four 4 types of distortion related to a map projection?

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What is equirectangular format?

The cubic format consists of 6 undistorted, perspective images: Up, down, left, right, forward and backward, whereas the equirectangular format is one single stitched image of 360° horizontally and 180° vertically.

How do you convert 360 Video to equirectangular?

Converting your 360 videos

1. Select “Videos” tab in the 360fly Director software, hover over the thumbnail for the video you want and click “Convert”.
2. In the “Convert to Equirectangular” window, choose the highest resolution in the dropdown menu.
3. Wait for the video to finish converting.

What is the ratio of equirectangular map?

Equirectangular frame is of the ratio 2:1. It covers 360° horizontally and 180° vertically. The standard resolution is of the dimension 4096×2048 for UHD resolution.