In this study, the observed coordinates of the 44 continuous GPS stations in the study area (Fig. 1) were compared with their corresponding transformed coordinates to analyze the accuracy of the coordinate transformation.
(i) are the eigenfunctions of the corresponding transformed boundary value problem, (1)–(3), with eigenvalues.
In the following, the corresponding transform onto is represented by the analysis operator.
(i) are the eigenvalues of the corresponding transformed boundary value problems (1)–(3), in Theorem 4.2, with corresponding eigenfunctions ; (ii) are the eigenvalues of the corresponding transformed boundary value problems (4)–(9), in Theorem 4.2, with corresponding eigenfunctions.
We used one-sample t test to compare the transformed mean judgments with the corresponding transformed LRs.
Furthermore, it is able to outperform existent fast transform domain algorithms which are limited to basis function sets that belong to the corresponding transform.
In particular, if are the eigenvalues of the original boundary value problem with corresponding eigenfunctions, then are eigenfunctions of the corresponding transformed boundary value problem with eigenvalues.
The cost function measures the 2-D distance between a keypoint x i and its corresponding transformed and projected keypoint (hat {boldsymbol {x}}_{i}) in the other image.
Popular choices of representation bases and corresponding transforms have been the Fourier transform, the discrete cosine transform (DCT) [4], the wavelet transform [1], and more recent developments, such as curvelets [5, 6], and other lets [1, 7, 8].
Since the transformed boundary value problems, (1)–(3), have eigenvalues it follows that constitute all the eigenvalues of the transformed boundary value problem; (ii) are the eigenfunctions of the corresponding transformed boundary value problem, (4)–(9), with eigenvalues.
