Handbook of Mathematical Models in Computer Vision
DOI: 10.1007/0-387-28831-7_9
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Curve Propagation, Level Set Methods and Grouping

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Cited by 6 publications
(7 citation statements)
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“…The alignment of images requires establishing mathematical relationships that map pixel coordinates from the unaligned images to their aligned versions. Five parametric 2D planar transformations have been defined [27] (see Figure 1). Each one of these transformations can be described by a transformation matrix (τ(p)), with p being a vector of parameters.…”
Section: Limitations Of Existing Alignment Methodsmentioning
confidence: 99%
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“…The alignment of images requires establishing mathematical relationships that map pixel coordinates from the unaligned images to their aligned versions. Five parametric 2D planar transformations have been defined [27] (see Figure 1). Each one of these transformations can be described by a transformation matrix (τ(p)), with p being a vector of parameters.…”
Section: Limitations Of Existing Alignment Methodsmentioning
confidence: 99%
“…These methods are usually slow since the number of pixel pairs to evaluate can be very large. Direct methods work by directly minimising pixel-to-pixel dissimilarities; a different class of algorithms works by extracting a sparse set of features and then matching these to each other [27,30,31]. Feature-based approaches have the advantage of being more robust against scene movement, are potentially faster, and can be used to automatically discover the adjacency (overlap) relationships among an unordered set of images [32].…”
Section: Limitations Of Existing Alignment Methodsmentioning
confidence: 99%
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“…C 1 is curve, F is speed function that controls the motion of the contour, N is inward normal vector to the contour. The level set surface needs to remain with the same smoothness level; hence initialization has to be given at regular intervals -this process is called as reinitialization [29,30].…”
Section: Level Set Formulationmentioning
confidence: 99%
“…Minimal path computation [6] as well as distance transform [7] are used in 2D and 3D image segmentation.…”
Section: Introductionmentioning
confidence: 99%