Duality of reconstruction and positioning from projective views
Duality of reconstruction and positioning from projective views
复制标题
投影视图重建和定位的二元性
DOI：
10.1109/wvrs.1995.476856
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Stefan Carlsson
中科院分区：
文献类型：
--
作者：
Stefan Carlsson
给定来自3D中的一组点的多个图像数据，可以解决两个基本问题：（1）3D中的点的集合的结构是什么？(2)摄像机相对于点的位置是什么？在本文中，我们表明，投影视图和结构和位置定义的模线性变换，这些问题是双重的意义上说，他们的解决方案产生的约束方程的空间点和相机的位置发生在一个互惠的方式。从n个视图中的m个点计算相机位置的问题可以用与直接重建m-4个视图中的n+4个点的问题相同的算法来解决。这统一了不同的投影重建方法：基于外部校准的方法和利用空间和图像不变量之间存在的约束的直接方法。
Given multiple image data from a set of points in 3D, there are two fundamental questions that can be addressed: (1) What is the structure of the set of points in 3D? (2) What are the positions of the cameras relative to the points? In this paper, we show that for projective views and with structure- and position-defined modulo linear transformations, these problems are are dual in the sense that their solution arises from constraint equations where space point and camera positions occur in a reciprocal way. The problem of computing camera positions from m points in n views can be solved with the same algorithm as the problem of directly reconstructing n+4 points in m-4 views. This unifies different approaches for projective reconstruction: methods based on external calibration and direct methods exploiting constraints that exist between space and image invariants.