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hyperplane
[ hahy-per-pleyn, hahy-per-pleyn ]
noun
- a subspace of a vector space that has dimension one less than the dimension of the vector space.
hyperplane
/ ˈhaɪpəˌpleɪn /
noun
- maths a higher dimensional analogue of a plane in three dimensions. It can be represented by one linear equation
Word History and Origins
Origin of hyperplane1
Example Sentences
Mathematically, this piece of paper is called a hyperplane.
Many safety check algorithms work by generating this hyperplane at a single point in time.
However, each time the robot moves, a new hyperplane needs to be recomputed to perform the safety check.
Instead, this new technique generates a hyperplane function that moves with the robot, so it can prove that an entire trajectory is collision-free rather than working one hyperplane at a time.
This function is an equation that describes where the hyperplane needs to be at each point in the planned trajectory so it remains collision-free.
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