Upgrading image display of 3-D shapes with high density and high accuracy

1. 高密度高精度三维场景显示利用图像重建的三维多面体形状可能与真实形状存在差异。我们建立了一种通过分析输入图像来检测差异的新技术，从而使更真实的显示成为可能。当观看方向移动360°或更多时，在观看者周围显示多个场景图像可能会导致不一致。我们设计了一种在不发生不一致的情况下的最佳粘贴图像的技术，通过该技术可以连续显示任意改变观看方向的场景。高精度几何拟合理论及其应用本文为该研究者之前提出的具有世界影响的“重整化”方法提供了理论基础，该方法与理论精度界限有关。我们还分析了它的精度，它只在一阶近似下才知道，严格来说直到二阶项。这导致了一种“超精确”的方法的发现，这种方法优于所有现有的方法。我们用实验证实了这一点。本文提出了一种从噪声点对应数据中计算基本矩阵的新方法，这是图像三维重建的第一步。这种方法比现有的方法更准确、更有效。基于视频流的高精度高效三维重建技术我们将“分解”方法进行了扩展，该方法利用仿射相机建模，从视频流上的特征点跟踪高效地重建场景的三维形状，并将其扩展为包含所有现有模型的一般形式。通过模拟和真实视频图像验证，该方法可以自动选择合适的摄像机型号。我们还设计了一种高精度的“自校准”技术，我们将避免冗余和预测待计算值的方案纳入其中。我们证实计算速度提高了几千倍。少

1. High-density high-accuracy display of 3-D scenes3-D polyhedral shapes reconstructed from images may be different from their true shapes. We established a new technique for detecting the discrepancy by analyzing the input images, by which more realistic display is made possible.Displaying multiple images of the scene around the viewer may cause inconsistencies when the viewing direction is moved by 360° or more. We devised a technique for optimally pasting images subject to the condition that no inconsistency occurs, by which the scene is continuously displayed for arbitrary changes of the viewing direction.2. Theory for high accuracy geometric fitting and its applicationsWe gave a theoretical foundation to the "renormalization" method, which this investigator proposed before with a worldwide impact, in relation to the theoretical accuracy bound. We also analyzed its accuracy, which was known only to a first approximation, up to second order terms strictly. This lead to a discovery o … More f a "hyperaccurate" method that outperforms all existing methods. We confirmed this by experiments.3. Efficient and high-accuracy computation of the fundamental matrix from two imagesWe devised a new technique for computing the fundamental matrix from noisy point correspondence data, which is the first step of 3-D reconstruction from images. This method is more accurate and efficient than all existing methods.4. High-accuracy and efficient technique for 3-D reconstruction from video streamsWe extended the "factorization" method, which efficiently reconstructs the 3-D shape of the scene from feature point tracking over a video stream using affine camera modeling, to a general form which includes all existing models. We confirmed using simulated and real video images that an appropriate camera model is automatically selected by this method.We also devised a high-accuracy "self-calibration" technique, to which we incorporated schemes for avoiding redundancies and predicting the values to be computed. We confirmed that the computation speed is increased by several thousand times. Less