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Bio-medical Ontologies Maintenance and Change Management

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74 L. Stanescu, D. Dan Burdescu, <strong>and</strong> M. Brezovan<br />

image considered by the user as query [83]. The content-based visual query differs<br />

from the usual query by the fact it implies the similarity search.<br />

There are two forms of content-based visual query [83, 86]:<br />

• The k-nearest neighborhood query – that retrieves the most appropriate k images<br />

with the query image<br />

• Range query – that retrieves all the images that respect a fixed limit of the similarity<br />

between the target <strong>and</strong> the query image.<br />

Next it is given the difference between the two utilization of the content-based<br />

visual query, namely: content-based image query <strong>and</strong> content-based region query.<br />

In the case of the content-based image query with the k- nearest neighborhood,<br />

it is imposed to solve the following problem [83, 86]:<br />

Being given a collection C of N images <strong>and</strong> a characteristics dissimilarity<br />

function v f , it is required to find the k images α T ∈ C with the smallest<br />

dissimilarity, v f (α Q , α T ) taking into consideration the query image α Q. .<br />

In this case, a query always returns k images, which are usually sorted, in the<br />

ascending order of the dissimilarity, taking into consideration the query image.<br />

In the case of the content-based image query limited to a certain domain, it is<br />

imposed to solve the problem [83, 86]:<br />

Being given a collection C of N images <strong>and</strong> a characteristics dissimilarity<br />

function v f , it is required to find the images α T ∈ C such that v f (α Q , α T ) ≤ σ f ,<br />

where α Q is the query image, <strong>and</strong> σ f is a limit for the characteristics similarity.<br />

In this case, the query returns a certain number of images, in function of the σ f<br />

limit.<br />

In a content-based region query, the images are compared on their regions. In<br />

the first step of the query, there are made content-based visual queries on the<br />

regions, <strong>and</strong> not on the images. In the final step of the query, there are determined<br />

the images corresponding to the regions <strong>and</strong> there is computed the total distance<br />

between the images by the weighting of the distances between regions. In the case<br />

of this type of query it is imposed to solve the following problem [83, 86]:<br />

Being given a collection C of N images <strong>and</strong> a features dissimilarity function vf,<br />

is required to find the k images αT ∈ C that have at least R regions such that vf<br />

(αQ R , αT R )≤ σf, where αQ R is the query image with R regions, <strong>and</strong> σf is a limit for<br />

the characteristics similarity.<br />

The content – based visual query may be improved by adding the spatial<br />

information to the query. So, the total measure of the dissimilarity takes into<br />

consideration both the features values (color, texture), <strong>and</strong> the spatial values of the<br />

regions.<br />

In present, there are developed techniques for spatial indexing that allow the<br />

images retrieval based on their objects localization. These approaches compares<br />

images were there were defined a-priori regions <strong>and</strong> objects.<br />

There are two types of spatial indexing, namely: relative <strong>and</strong> absolute.<br />

In the case of spatial relative indexing, the images are compared based on their<br />

relative symbols locations. The following problem has to be solved [83, 86]:

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