Statistical model
First Claim
1. A method of building a statistical shape model by automatically establishing correspondence between a set of two dimensional shapes or three dimensional shapes, the method comprising:
- a. determining a parameterisation of each shape, building a statistical shape model using the parameterisation, using an objective function to provide an output which indicates the quality of the statistical shape model, b. performing step a repeatedly for different parameterisations and comparing the quality of the resulting statistical shape models using output of the objective function to determine which parameterisation provides the statistical shape model having the best quality, wherein the output of the objective function is a measure of the quantity of information required to code the set of shapes using the statistical shape model.
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Abstract
A method of building a statistical shape model by automatically establishing correspondence between a set of two dimensional shapes or three dimensional shapes, the method comprising: a) determining a parameterisation of each shape, building a statistical shape model using the parameterisation, using an objective function to provide an output which indicates the quality of the statistical shape model; performing step a) repeatedly for different parameterisations and comparing the quality of the resulting statistical shape models using output of the objective function to determine which parameterisation provides the statistical shape model having the best quality, wherein the output of the objective function is a measure of the quantity of information required to code the set of shapes using the statistical shape model.
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Citations
32 Claims
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1. A method of building a statistical shape model by automatically establishing correspondence between a set of two dimensional shapes or three dimensional shapes, the method comprising:
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a. determining a parameterisation of each shape, building a statistical shape model using the parameterisation, using an objective function to provide an output which indicates the quality of the statistical shape model, b. performing step a repeatedly for different parameterisations and comparing the quality of the resulting statistical shape models using output of the objective function to determine which parameterisation provides the statistical shape model having the best quality, wherein the output of the objective function is a measure of the quantity of information required to code the set of shapes using the statistical shape model. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25)
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26. A method of parameterising a set of three dimensional shapes, the method comprising:
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a. mapping each three dimensional shape to a simple canonical form of an appropriate topology, b. applying a set of landmarks to the simple form for a given level of resolution, each landmark being constrained to lie inside a spherical triangle formed by a triple of landmark points of a lower resolution level, c. upon the completion of the application of the set of landmarks for the resolution level, projecting the set of landmarks onto the three dimensional shapes, d. building a statistical shape model using the set of landmarks of the resolution level, e. using an objective function to provide an output which indicates the quality of the statistical shape model determined using the set of landmarks of the resolution level, f. comparing the output with output determined using a different set of landmarks having the same level of resolution, and g. repeating steps a to f to determine which set of landmarks which provides the best quality of statistical shape model, h. repeating steps a to g at a higher level of resolution.
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27. A method of parameterising a set of three dimensional shapes, the method comprising:
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a. mapping each three dimensional shape to simple canonical form of an appropriate topology, b. applying a set of landmarks to the simple form, c. modifying the locations of the landmarks by applying a transformation, d. projecting the set of landmarks onto the three dimensional shapes, e. building a statistical shape model using the set of landmarks, f. using an objective function to provide an output which indicates the quality of the statistical shape model determined using the set of landmarks, g. comparing the output with output determined using landmarks having different locations, and h. repeating steps c to g to determine which set of landmarks which provides the best quality of statistical shape model. - View Dependent Claims (28, 29, 30, 31, 32)
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Specification