Shape from Periodic Texture Using the Eigenvectors of Local Affine Distortion
Shape from Periodic Texture Using the Eigenvectors of Local Affine Distortion
复制标题
使用局部仿射畸变的特征向量根据周期性纹理形成形状
DOI：
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发表时间：
2001
影响因子：
23.6
通讯作者：
E. Hancock
中科院分区：
文献类型：
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作者：
Eraldo Ribeiro;E. Hancock
展示了如何直接估计规则纹理曲面的局部倾斜和倾斜角度，而无需迭代数值优化。我们工作在频域和测量纹理失真使用的仿射失真的频谱峰的图案。关键的理论贡献是表明，仿射失真矩阵的特征向量的方向可以用来估计局部倾斜和倾斜角的切平面曲面。特别地，前导特征向量指向倾斜方向。虽然在几何上不是透明的，但是第二特征向量的方向可以用于估计倾斜方向。所需的仿射失真矩阵的计算使用谱峰之间的对应关系，建立在它们的能量排序的基础上。我们将该方法应用于各种真实世界和合成图像。
Shows how the local slant and tilt angles of regularly textured curved surfaces can be estimated directly, without the need for iterative numerical optimization. We work in the frequency domain and measure texture distortion using the affine distortion of the pattern of spectral peaks. The key theoretical contribution is to show that the directions of the eigenvectors of the affine distortion matrices can be used to estimate local slant and tilt angles of tangent planes to curved surfaces. In particular, the leading eigenvector points in the tilt direction. Although not as geometrically transparent, the direction of the second eigenvector can be used to estimate the slant direction. The required affine distortion matrices are computed using the correspondences between spectral peaks, established on the basis of their energy ordering. We apply the method to a variety of real-world and synthetic imagery.