# Planar homography: accuracy analysis and applications

##### Citations

53 citations

39 citations

### Cites background from "Planar homography: accuracy analysi..."

...The homography accuracy [94] is strongly tied to the quality of the correspondences used for its calculation....

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^{1}, V. B. Surya Prasath

^{1}, Kannappan Palaniappan

^{1}, Guna Seetharaman

^{2}+1 more•Institutions (3)

16 citations

### Cites background from "Planar homography: accuracy analysi..."

...This issue has been already investigated by some researchers [50], [52], [54], [55], [89]....

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...[52] studied the accuracy of planar homography in applications such as video frame-to-frame homography....

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13 citations

### Cites background from "Planar homography: accuracy analysi..."

...niques, most commonly using feature correspondences [104] (see Section 2....

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^{1}, Nurul Asyikin Mohamed Radzi

^{1}, Norashidah Md Din

^{1}, Intan Shafinaz Mustafa

^{1}•Institutions (1)

10 citations

### Cites methods from "Planar homography: accuracy analysi..."

...This mapping model can be solved by using four pairs of corresponding points and consist of rotation, scaling, translation, shear and prospective projection [5]....

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##### References

15,158 citations

486 citations

### "Planar homography: accuracy analysi..." refers background in this paper

...For small variations –max{δqi} << 1, where qi denotes i-th element of q –it can be shown [6, 7] that up to first-order, the eigenvalues and eigenvectors ofQ vary according to δλi = υi ∆Q υi and δυi = VΨiV T Πiδq where Ψi = diag{(λi − λ1)−1, ....

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...[7], who reported a comprehensive error analysis of motion and structure parameters from image correspondences....

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275 citations

257 citations

### "Planar homography: accuracy analysi..." refers background or methods in this paper

...In addition to many methods for estimating the homography parameters [5], analytical expressions to assess the accuracy of the transformation parameters have been proposed [4]....

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...[4] give closed-form expressions to estimate the variance of the 8 independent parameters1....

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...SIMULATIONS We use computer simulations to compare the closed-form expressions for estimating the variances of the projective homography parameters, given in [4] and derived here (denoted Chc and Cho, respectively)....

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...COVARIANCE OF PROJECTIVE HOMOGRAPHY Due to space limitation, we refer the reader to section 5 in [4], given for the estimation of the covariance of the homography parameters....

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41 citations