Aloimonos J
Computer Vision Laboratory, University of Maryland, College Park 20742.
Biol Cybern. 1988;58(5):345-60. doi: 10.1007/BF00363944.
A central goal for visual perception is the recovery of the three-dimensional structure of the surfaces depicted in an image. Crucial information about three-dimensional structure is provided by the spatial distribution of surface markings, particularly for static monocular views: projection distorts texture geometry in a manner tha depends systematically on surface shape and orientation. To isolate and measure this projective distortion in an image is to recover the three dimensional structure of the textured surface. For natural textures, we show that the uniform density assumption (texels are uniformly distributed) is enough to recover the orientation of a single textured plane in view, under perspective projection. Furthermore, when the texels cannot be found, the edges of the image are enough to determine shape, under a more general assumption, that the sum of the lengths of the contours on the world plane is about the same everywhere. Finally, several experimental results for synthetic and natural images are presented.
视觉感知的一个核心目标是恢复图像中所描绘表面的三维结构。关于三维结构的关键信息由表面标记的空间分布提供，特别是对于静态单眼视图而言：投影会以一种系统地取决于表面形状和方向的方式扭曲纹理几何形状。在图像中分离并测量这种投影失真就是恢复纹理表面的三维结构。对于自然纹理，我们表明，在透视投影下，均匀密度假设（纹理元素均匀分布）足以恢复视图中单个纹理平面的方向。此外，在更一般的假设下，即世界平面上轮廓长度的总和在各处大致相同时，当找不到纹理元素时，图像的边缘足以确定形状。最后，给出了针对合成图像和自然图像的几个实验结果。
