翻訳と辞書 Words near each other ・ Homogenes mimus ・ Homogenes rubrogaster ・ Homogenic ・ Homogenic Tour ・ Homogenization (biology) ・ Homogenization (chemistry) ・ Homogenization (climate) ・ Homogenizer ・ Homogentisate 1,2-dioxygenase ・ Homogentisic acid ・ Homoglaea ・ Homoglutathione synthase ・ Homoglyph ・ Homograph ・ Homography ・ Homography (computer vision) ・ Homography (disambiguation) ・ Homogyna ・ Homogyna alluaudi ・ Homogyna bartschi ・ Homogyna endopyra ・ Homogyna ignivittata ・ Homogyna pygmaea ・ Homogyna pythes ・ Homogyna sanguicosta ・ Homogyna sanguipennis ・ Homogyna spadicicorpus ・ Homogyna xanthophora ・ Homogyne ・ Homogyne alpina Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Homography (computer vision) ： ウィキペディア英語版 Homography (computer vision) In the field of computer vision, any two images of the same planar surface in space are related by a homography (assuming a pinhole camera model). This has many practical applications, such as image rectification, image registration, or computation of camera motion—rotation and translation—between two images. Once camera rotation and translation have been extracted from an estimated homography matrix, this information may be used for navigation, or to insert models of 3D objects into an image or video, so that they are rendered with the correct perspective and appear to have been part of the original scene (see Augmented reality). == 3D plane to plane equation == We have two cameras ''a'' and ''b'', looking at points $P\_i$ in a plane. Passing the projections of $P\_i$ from $^ap\_i\; =\; K\_a\; \backslash cdot\; H\_\; \backslash cdot\; K\_b^\; \backslash cdot\; =\; R\; -\; \backslash frac.$ $R$ is the rotation matrix by which ''b'' is rotated in relation to ''a''; ''t'' is the translation vector from ''a'' to ''b''; ''n'' and ''d'' are the normal vector of the plane and the distance to the plane respectively. ''K''''a'' and ''K''''b'' are the cameras' intrinsic parameter matrices. The figure shows camera ''b'' looking at the plane at distance ''d''. Note: From above figure, assuming $n^T\; P\_i\; +\; d\; =\; 0$ as plane model, $n^T\; P\_i$ is the projection of vector $P\_i$ into $n^T$, and equal to $-d$. So $t\; =\; t\; \backslash left(-\backslash frac\backslash right)$. And we have $H\_\; P\_i\; =\; R\; P\_i\; +\; t$ where $H\_\; =\; R\; -\; \backslash frac$. This formula is only valid if camera ''b'' has no rotation and no translation. In the general case where $R\_a,R\_b$ and $t\_a,t\_b$ are the respective rotations and translations of camera ''a'' and ''b'', $R=R\_a\; R\_b^T$ and the homography matrix $H\_$ becomes : $H\_\; =\; R\_a\; R\_b^T\; -\; R\_a\; \backslash fracR\_b^T\; =\; R\_a\; \backslash left(I\; -\; \backslash frac\backslash right)R\_b^T\; .$ where ''d'' is the distance of the camera ''b'' to the plane. == Affine homography == When the image region in which the homography is computed is small or the image has been acquired with a large focal length, an ''affine homography'' is a more appropriate model of image displacements. An affine homography is a special type of a general homography whose last row is fixed to : $h\_=h\_=0,\; \backslash ;\; h\_=1.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Homography (computer vision)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.