L 1 Generalized Procrustes 2D Shape Alignment
نویسندگان
چکیده
منابع مشابه
BARTOLI, PIZARRO, LOOG: STRATIFIED GENERALIZED PROCRUSTES ANALYSIS 1 Stratified Generalized Procrustes Analysis1
This paper deals with generalized procrustes analysis. This is the problem of registering a set of shape data by finding a reference shape and global rigid transformations given point correspondences. The transformed shape data must align with the reference shape as best possible. This is a difficult problem. The classical approach computes alternatively the reference shape, usually as the aver...
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Two-dimensional shape models have been successfully applied to solve many problems in computer vision, such as object tracking, recognition, and segmentation. Typically, 2D shape models are learned from a discrete set of image landmarks (corresponding to projection of 3D points of an object), after applying Generalized Procustes Analysis (GPA) to remove 2D rigid transformations. However, the st...
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Consider a configuration of k points or landmarks in R, represented as a k × m matrix X0. For many purposes, it is not the configuration of X0 which is of importance but its shape, that is, its equivalence class under an appropriate group of transformations. One important type of shape is projective shape. Let X = [1k, X0] be a k × p matrix, where p = m + 1, containing the landmark positions in...
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This paper casts the problem of point-set alignment via Procrustes analysis into a maximum likelihood framework using the EM algorithm. The aim is to improve the robustness of the Procrustes alignment to noise and clutter. By constructing a Gaussian mixture model over the missing correspondences between individual points, we show how alignment can be realised by applying singular value decompos...
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We consider a model for sensory profiling data including translation, rotation and scaling. We compare two methods to calculate an overall consensus from several data matrices: GPA and STATIS. These methods are briefly illustrated and explained under our model. A series of simulations to compare their performance has been carried out. We found significant differences in performance depending on...
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ژورنال
عنوان ژورنال: Journal of Mathematical Imaging and Vision
سال: 2008
ISSN: 0924-9907,1573-7683
DOI: 10.1007/s10851-008-0077-2