Identification of Partially Obscured Objects in Two Dimensions By Matching of No

Cover Identification of Partially Obscured Objects in Two Dimensions By Matching of No
Identification of Partially Obscured Objects in Two Dimensions By Matching of No
Jacob T Schwartz
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Moreover, if the observed points did lie exactly on the surface P(Ex)=0, then the minimizing Q in (1*) would clearly be Q(x) = P(Ex), so that once having the coefficients of Q we could expect to calculate E in straightforward fashion. (Suppose, for example, that the polynomial P is of even order.
The rotational part R of E acts independently of £'s translational part on the highest order terras of P. If P is quadratic, R can be determined from Q by finding the principal axes of (2's purely quad
...ratic part and matching them with the corresponding axes for P. If P is of higher degree, we can apply the Laplacian operator A, which is rotationally invariant, to the highest order terras of both P and Q just often enough to produce two quadratic polynomials, and then match principal axes as before. Next suppose that the principal terms of P are cubic. In this case, we can associate an orthogonal set of 'principal axes' with P in the following way. Take AP, which is linear, and take the vector v ; orthogonal to the plane ikP-0.

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