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Gradient Weighted random number

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Hi

I have two points (A,B) and I want to create a set of random points between the two, such that most points are close to A and the number of points decreases linearly towards B. Does anyone know a simple way to solve this?

Thanks

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Random number generators generating values between zero and one with an uniform distribution are common. You can take the squared output of such a generator, and then use to to scale the vector (B-A) and add it to A.

In pseudocode:

uniformRand = rand();

outputPoint = A + uniformRand*uniformRand * (B-A);

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I have two points (A,B) and I want to create a set of random points between the two, such that most points are close to A and the number of points decreases linearly towards B. Does anyone know a simple way to solve this?

It sounds like you need to generate random numbers on a geometric or exponential distribution. If you're using C++ and your development environment supports the current ISO standard, you can just use [font="Courier New"]std::geometric_distribution[/font] or [font="Courier New"]std::exponential_distribution[/font] from [font="Courier New"]<random>[/font]. If you're not in that situation, you can try to write them yourself, it's not that difficult.

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Thanks for the reply guys Rene Z's response worked perfectly for my situation (I'm not using C++), but I will look into std::geometric_distribution and std::exponential_distribution just out of interest, so thanks for that Bregma.

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