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math.ST2014★ 6 cited
The Probability Density Function of a Transformation-based Hyperellipsoid Sampling Technique
Jonathan D. Gammell, Timothy D. Barfoot
Sun and Farooq [2] showed that random samples can be efficiently drawn from an arbitrary n-dimensional hyperellipsoid by transforming samples drawn randomly from the unit n-ball. T…
math.ST2014★ 3 cited
On Recursive Random Prolate Hyperspheroids
Jonathan D. Gammell, Siddhartha S. Srinivasa, Timothy D. Barfoot
This technical note analyzes the properties of a random sequence of prolate hyperspheroids with common foci. Each prolate hyperspheroid in the sequence is defined by a sample drawn…