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Consistent Spherical Parameterisation for Statistical Shape Modelling
3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., 2006We have described previously a method of automatically constructing statistical models of shape. The method treats model-building as an optimisation problem by re-parameterising each shape so as to minimise the description length of the training set. The approach requires an explicit parameterisation of each shape, which is straightforward in 2D, but ...
Davies, Rhodri H. +2 more
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A Statistical Model for Smooth Shapes in Kendall Shape Space
2015This paper proposes a novel framework for learning a statistical shape model from image data, automatically without manual annotations. The framework proposes a generative model for image data of individuals within a group, relying on a model of group shape variability.
Akshay V. Gaikwad +2 more
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Independent component analysis in statistical shape models
SPIE Proceedings, 2003Statistical shape models generally use Principal Component Analysis (PCA) to describe the main directions of shape variation in a training set of example shapes. However, PCA assumes a number of restrictions on the data that do not always hold. In this paper we explore the use of an alternative shape decomposition, Independent Component Analysis (ICA),
Mehmet Üzümcü +3 more
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Symmetry-Factored Statistical Modelling of Craniofacial Shape
2017 IEEE International Conference on Computer Vision Workshops (ICCVW), 2017We present a new method for symmetry-factored statistical modelling of 3D shape. Our method comprises three novel components. First, a means to symmetrise a 3D mesh, regularised using the Laplace-Beltrami operator. Second, a symmetry-aware variant of Generalized Procrustes Analysis (GPA).
Hang Dai +3 more
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Automatic Construction of Biventricular Statistical Shape Models
2003This paper presents a method for the generation of landmarks in three-dimensional shapes and the construction of the corresponding 3-D statistical shape models. The technique relies on establishing shape correspondances via a volumetric non-rigid registration technique using multi-resolution B-spline deformations. This approach presents some advantages
Alejandro F. Frangi +3 more
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A statistical shape model of trochlear dysplasia of the knee
The Knee, 2014Trochlear dysplasia is known as the primary predisposing factor for patellar dislocation. Current methods to describe trochlear dysplasia are mainly qualitative or based on a limited number of discrete measurements. The purpose of this study is to apply statistical shape analysis to take the full geometrical complexity of trochlear dysplasia into ...
A, Van Haver +6 more
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Building optimal 2D statistical shape models
Image and Vision Computing, 2003Statistical shape models are used widely as a basis for segmenting and interpreting images. A major drawback of the approach is the need, during training, to establish a dense correspondence across a training set of segmented shapes. We show that model construction can be treated as an optimisation problem, automating the process and guaranteeing the ...
Rhodri H. Davies +4 more
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Articulated Statistical Shape Models of the Spine
2014The spine is a complex assembly of rigid vertebrae surrounded by various soft tissues (ligaments, spinal cord, intervertebral discs, etc.). Its motion for a given individual and its shape variations across a population are greatly influenced by this fact.
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Statistical Modeling of Planar Shapes
2016As emphasized in the introduction chapter (Sect. 1.3), one of the main goals in this textbook is to develop statistical models of shapes of curves.
Anuj Srivastava, Eric P. Klassen
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Statistical Models of Shape and Texture for Face Recognition
2006Human faces are an example of a class of objects in which each example exhibits significant variation in shape and appearance, but which is composed of a fixed number of sub-parts which have a similar configuration in every case. For such objects we can define landmark points on each example which imply a correspondence between different examples.
Timothy F. Cootes +2 more
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