Abstract
The chapter proposes a stratification approach to recover the structure of nonrigid objects under the assumption that the object is composed of separable rigid features and deformed ones. First, we propose a deformation weight constraint for the problem and prove the invariability between the recovered structure and shape bases under this constraint. Second, we propose a constrained power factorization (CPF) algorithm to recover the deformation structure in affine space. Third, we propose to segment the rigid features from the deformed ones in 3D affine space which makes segmentation more accurate and robust. Finally, we recover the stratification matrix from the rigid features and upgrade the structure from affine to the Euclidean space.
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What remains to be resolved is the question of knowing to what extent and up to what point these hypotheses are found to be confirmed by experience.
Bernhard Riemann (1826–1866)
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Wang, G., Wu, Q.M.J. (2011). Stratified Euclidean Reconstruction. In: Guide to Three Dimensional Structure and Motion Factorization. Advances in Pattern Recognition. Springer, London. https://doi.org/10.1007/978-0-85729-046-5_8
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DOI: https://doi.org/10.1007/978-0-85729-046-5_8
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