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2015年1月28日 · (This map is called stereographic projection.) It can be described geometrically as follows: ...

2021年9月16日 · $\begingroup$ On the other hand, if you do a stereographic projection from the South pole, and assuming you are using an inward normal unit vector field on the sphere again, then this mapping is orientation-preserving if you use the orientation given by the unit normal vector field on the equatorial plane pointing in the negative z-direction.

2021年2月17日 · How differentiate the stereographic projection map. Ask Question Asked 3 years, 11 months ago.

2022年6月4日 · In the proof it states "In order to obtain an equation for the projection points (x, y) ∈ C of the circle c under stereographic projection, we substitute (1) into Equation (2), which yields" Why does plugging in the pre image of points from the image plane into an arbitrary plane give me an equation of the points under stereographic projection?

2019年7月11日 · Stereographic projection of a disc. Hot Network Questions Book or movie where AI/computer takes over then forces the last living humans to live out with them and he makes them into a blob and just tortures

The stereographic projection is the homeomorphism $\varphi:\mathbb S^1\setminus \{p\}\to \mathbb R^1$. In ...

2018年5月10日 · Orientation of stereographic projection. 1. Deciding whether an atlas is smooth. 2. Constructing Smooth ...

Stereographic projection of a regular tetrahedron inscribed in the Riemann sphere? 3. Constructing the ...

2012年4月11日 · From here, you can compute a parametrization of the circle using trigonometric functions. Then, use the inverse rotation matrix to move everything (including your circle parametrization) back. Finally, apply the formula for stereographic projection to get a parametrization of a circle in the plane.