1996
DOI: 10.1016/0262-8856(96)01097-9
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Active Shape Models and the shape approximation problem

Abstract: The Active Shape Model(ASM) is an iterative algorithm for image interpretation based upon a Point Distribution Model. Each iteration of the ASM has two steps: Image data interrogation followed by shape approximation. Here we consider the shape approximation step in detail. We present a new method of shape approximation which uses directional constraints. We show how the error term for the shape approximation problem can be extended to cope with directional constraints and present iterative solutions to the 2D … Show more

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Cited by 56 publications
(20 citation statements)
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“…We did not include this term in our final results but mention it to show that, in principle, ''region information'' specific to a particular structure 8,28 might be able to increase the robustness of the chamfer match. Statistical analyses of texture ͓see Richardson and Keen 32,33 and Cootes and Taylor ͑unpublished presentation, MICCAI 2001͔͒ similar to the PDMs of Hill et al 27 are another possibility.…”
Section: Discussionmentioning
confidence: 92%
“…We did not include this term in our final results but mention it to show that, in principle, ''region information'' specific to a particular structure 8,28 might be able to increase the robustness of the chamfer match. Statistical analyses of texture ͓see Richardson and Keen 32,33 and Cootes and Taylor ͑unpublished presentation, MICCAI 2001͔͒ similar to the PDMs of Hill et al 27 are another possibility.…”
Section: Discussionmentioning
confidence: 92%
“…In 2D they lie along curves and in 3D along surfaces. An important application of pseudo‐landmarks is in the generation of landmark sets on which active shape models are based (Hill et al. 1996).…”
Section: Analytical and Visualization Techniquesmentioning
confidence: 99%
“…2) Shape Parameter Inferring: From (5), we can write the object function for shape localization problem as (11) In the th iteration, can be optimized in the neighborhood of in term of the adaptive local likelihood distribution model, then the object function is changed to (12) Thus, the local optimum of the shape localization problem can be derived using the energy function (13) where is the corresponding energy function of the distribution , namely , is the dimension of , is the th largest eigenvalue of the covariance matrix of the training shapes, is the corresponding shape parameter, , and is the geometry transformation function based on the transformation parameter (14) where . In (13), the optimization function is multinomial and has no close form solution.…”
Section: ) Adaptive Local Likelihood Distribution Modelmentioning
confidence: 99%
“…In (13), the optimization function is multinomial and has no close form solution. As discussed in [12], the solution can be approximated iteratively using a two-step optimization method as following.…”
Section: ) Adaptive Local Likelihood Distribution Modelmentioning
confidence: 99%