Is Voelker's dropped coordinates method for generating points in ball applicable to ellipsoid-ball?

A short write up is at section "method 22" on http://extremelearning.com.au/how-to-generate-uniformly-random-points-on-n-spheres-and-n-balls/ . I’m trying to get a more general case working, and so to say go from circle to any ellipse. However I’m starting to have doubts that this is even achievable with this method. Plotting results for 2d, I can see they’re all within area they should be, however they’re not uniformly distributed, and much more dense at center than at long ellipsis edges

Mathematics Asked by Coderino Javarino on December 10, 2021

Supplementing my comment: The following picture shows the same $$2000$$ random points, once as original, and once stretched by $$2$$ in $$x$$-direction and by $${1over2}$$ in $$y$$-direction. Answered by Christian Blatter on December 10, 2021

Related Questions

What is the distribution of highest order statistics when the random variables follow exponential distribution with mean ??

0  Asked on January 16, 2021 by alolika-ray

Use a shortest-paths argument to prove a combinatorics identity

2  Asked on January 16, 2021 by walterman

Correlation between 2 random variables and $cos(theta)$ on vector space

1  Asked on January 16, 2021

Open set of the torus containing a point of the equivalence class?

0  Asked on January 15, 2021 by edi

Is only one SVD computation enough to perform PCA on a matrix and its transpose?

0  Asked on January 15, 2021 by mark-ng

Evaluate $int frac{dx}{(x-1)^{frac 34} (x+2)^{frac 54}}$

2  Asked on January 15, 2021

Minimum number of elements in ${0, 1, 2, dots, n}$ that add up to all of the elements of ${0, 1, 2, dots, n}$.

2  Asked on January 15, 2021 by arjuna196

Tangent circles in a rectangle

3  Asked on January 15, 2021

Dependence of coin tosses

1  Asked on January 15, 2021

Does $n$ divide $2^{n-1} – 1$ for an infinite number of composite $n$?

1  Asked on January 14, 2021

Find a limit involving floor function

3  Asked on January 14, 2021

Extending a morphism on stalks by base change

0  Asked on January 14, 2021

If $text{Mod}_{R}$ and $text{Mod}_{S}$ are equivalent, then $R$ and $S$ have the same simple modules.

1  Asked on January 14, 2021

How to evaluate the integral of the exponential of tangent squared?

1  Asked on January 14, 2021 by mathart

Solution check: Uniform continuity

1  Asked on January 14, 2021

Algebraic closure of $mathbb F_p$

1  Asked on January 14, 2021 by samogrecco

Positivity of an operator

1  Asked on January 14, 2021 by ecl