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When the storage range of ρ is [−4σ, 4σ], a circle constraint of ρ = 4σ is imposed around the vanishing point.
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Based on this idea, the projected points in P-plane are interpolated as B-spline first, and then, the B-spline control points are locally optimized by taking the "forbidden circle" as the geometrical constraint to keep the B-spline from crossing it.
The plots show (upper left) the prior position and covariance estimates, (upper right) the transformed system with the sigma points (blue crosses) and the constraint (dashed circle), (lower left) the projected sigma points and the conditional mean and covariance, and finally (lower-right) the conditioned result in the original domain with the prior covariances indicated with thinner lines.
Using the Hough transform for circles and geometrical constraints the eye candidates are located; next, they are passed to a neural network that classifies between eyes and noneyes.
To test the concept of the constrained kinematic positioning method, the equation of a circle is employed as a constraint.
The angular effect described above can also be observed in the noiseless case when the LP model order, in which case the "extraneous" PEF zeros tend to be uniformly distributed around the unit circle if a minimum norm constraint is incorporated in the LP criterion [45].
"It's difficult to square the circle and meet all those constraints at the same time".
For now, Zagat's employees will remain at the company's headquarters in Columbus Circle in Manhattan because of lease constraints.
The directions of movement were selected at random, with the constraints that the shifted circle stayed within the grid and did not occupy the same position as the other circle.
The minimization algorithm then only needs the derivatives of with respect to each, which are easily obtained by a simple application of the chain rule The matrix is known as the constraint matrix in crystallographic circles.
Moreover, the sensor is calibrated using a planar circle calibration gauge and the Householder reflection constraint.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com