GEOGINE (GEOmetrical enGINE), a state-of-the-art OMG (Ontological Model Generator) based on n-D Tensor Invariants for n-Dimensional shape/texture optimal synthetic representation, description and learning, was presented in previous conferences elsewhere recently. Improved computational algorithms based on the computational invariant theory of finite groups in Euclidean space and a demo application is presented. Progressive model automatic generation is discussed. GEOGINE can be used as an efficient computational kernel for fast reliable application development and delivery in advanced biomedical engineering, biometric, intelligent computing, target recognition, content image retrieval, data mining technological areas mainly. Ontology can be regarded as a logical theory accounting for the intended meaning of a formal dictionary, i.e., its ontological commitment to a particular conceptualization of the world object. According to this approach, "n-D Tensor Calculus" can be considered a "Formal Language" to reliably compute optimized "n-Dimensional Tensor Invariants" as specific object "invariant parameter and attribute words" for automated n-Dimensional shape/texture optimal synthetic object description by incremental model generation. The class of those "invariant parameter and attribute words" can be thought as a specific "Formal Vocabulary" learned from a "Generalized Formal Dictionary" of the "Computational Tensor Invariants" language. Even object chromatic attributes can be effectively and reliably computed from object geometric parameters into robust colour shape invariant characteristics. As a matter of fact, any highly sophisticated application needing effective, robust object geometric/colour invariant attribute capture and parameterization features, for reliable automated object learning and discrimination can deeply benefit from GEOGINE progressive automated model generation computational kernel performance. Main operational advantages over previous, similar approaches are: 1) Progressive Automated Invariant Model Generation, 2) Invariant Minimal Complete Description Set for computational efficiency, 3) Arbitrary Model Precision for robust object description and identification.
A new physical, non-stochastic N-d model for target discrimination is presented. The model is based on Tensor Invariants and overrides usual stochastic procedure limitations problems characterized by FP and FN. The computational model is related directly to physical world, and it offers three major operational advantages over previous methods, at least. The first advantage is progressive automatic model generation of the Complete Minimum Set of Tensor Invariants. The second one is the reduced computational power requirements over traditional method. Finally, target precision drives automatic model generation trough subsequent steps. In fact, model precision is increased at each step. Robust discrimination or machine number representation saturation ends the computational process. Machine number representation saturation state suggests more power computational resource requirements for critical mission achievement. The general approach is tested on selected 2-D image database and preliminary results are presented.
KEYWORDS: Skin, Image processing, Melanoma, Imaging systems, Computing systems, Tumors, Digital cameras, Cameras, Control systems, Signal to noise ratio
Among the various skin diseases skin tumors are the most serious ones and skin Melanoma is particularly dangerous. Its malignant evolution lasts about 5 or 6 years and ends with the death of the patient. Early diagnosis is a powerful means of preventing this evolution allowing sudden intervention, which increases probability or recover and survival. Aim of the paper is to present the result of an active support system for early diagnosis of melanoma and related skin diseases. The system is based upon a digital acquisition camera with a dedicated illumination system digitally controlled in order to achieve best performance in color and feature discrimination reaching best signal to noise ratio especially in blue band. A polarization framework allows for reflected ray rejection maximization. A new classification approach is presented. It allows for a quantification of morphological patterns and standard parameters in order to implement a computer aided dermatological system. The image information extraction is based on minimal descriptor set of parameters in order to classify chromatic texture and morphological features. The results obtained allow for determination of standard reference grids for pathological cases and reliable and objective classification procedure. We adopt, as reference, the approach used by Stanganelli and Kenet. Through a bioengineering analysis we can organize reference grids that offer the possibility to extract the maximum information content from dermatological data. The classification takes into account the spread and intrinsic descriptors and correspond to the best operative description. Therefore these grids are the more suitable tools for applications which requires active support system for diagnosis. In fact it is possible to obtain quantitative evaluations too. We propose a method based on geometrical synthetical descriptors. All that permits a reliable early diagnosis of melanotic disease and to follow its evolution in time. The first result and the incoming work points to the realization of a system for general dermatological applications.
A new measurement device is presented. Extreme design care is devoted to achieve a closer relation between the structure of the mathematical description and the finite-resolution properties of physical detectors that characterize any real measurement process, than previous attempts described in scientific and technical literature. In fact, experimental data are captured by means of a pair of active sensors placed at a relative fixed distance, working in a coupled arrangement. The presented device domain sensor operates in a discrete variable domain. Beyond the operational advantages in terms of simplicity and computational speed, it agrees with the results of biological observation which reveals that highly structured data always come from coupled transducing bio-elements. A numerical example is presented: an optimal computational precision level can be selected according to the required output precision. Furthermore, it can be shown that for that required precision, the output discrete data set is consistent under inversion transformation.
This work refers to the development of an equipment for computer assisted digital dermatology as a basis for the creation of active support systems for early diagnosis of melanotic disease. It is based on a digital epiluminescence technique, taking advantage of polarized lith guided by optical fibers. In the purpose to discriminate between malignant and benign melanocytic lesions, several dermatoscopical features have been proposed by different research groups. Nevertheless many are the attempts to reach a reliable and objective classification procedure. We adopt, as reference, the approach used by Stanganelli and Kenet. Through a bioengineering analysis we can organize reference grids that offer the possibility to extract the maximum information content from dermatological data. The classification takes into account the spread and intrinsic descriptors and corresponds to the best operative descriptio. Therefore these grids ar the more suitable tools for applications which require active support systems for diagnosis. In fact, it is possible to obtain quantitative evaluations too. We propose a method based on geometrical synthetical descriptors. All that permits a reliable early diagnosis of melanotic disease and to follow its evolution in time.
Among the various skin diseases skin tumors are the most serious ones and skin melanoma is particularly dangerous. Its malignant evolution lasts about 5 or 6 years and ends with the death of the patient. Early diagnosis is a powerful means of preventing this evolution allowing sudden intervention which increases probability of recover and survival. Purpose of this paper is to present an active support system (ASS) able to reveal and quantify the stage of disease evolution. The work focuses the problem encountered in chromatic information encoding the morphological aspects quantification. A new method is proposed which permits robust and reliable quantification of image data obtained via a digital epiluminescence dermatoscopy apparatus (DELM) designed and built with interesting new features. The image information extraction is based on minimal descriptor set of parameters in order to classify chromatic texture and morphological features. The active support systems is based on DELM technique, taking advantage of polarized light guided by optical fibers. In the purpose to discriminate between malignant and benign melanocytic lesions, several dermatoscopical features have been proposed by different research groups. Nevertheless many are the attempts to reach a reliable and objective classification procedure. We adopt, as reference, the approach used by Stanganelli and Kenet. Through a bioengineering analysis we can organize reference grids that offer the possibility to extract the maximum information content from dermatological data. The classification takes into account the Spread and Intrinsic Descriptors and correspond to the best operative description. Therefore these grids are the more suitable tools for application which require ASS for diagnosis. In fact it is possible to obtain quantitative evaluations too. We propose a method based on geometrical synthetical descriptors. All that permits a reliable early diagnosis of melanotic disease and to follow its evolution in time. The results obtained allow for disease classification procedure with determination of reference grids for pathological cases and ultimately permits effective early diagnosis of melanotic disease and its follow-up. The first results and the incoming work points to the realization of an Automatic Support System for general dermatological applications.3034
Traditional successful approaches to inverse problem solutions usually deal with continuous variable domains: image inversion is a key example of such a problem. In the present paper the mathematical base for a novel efficient algorithm for inversion problems is discussed. The proposed procedure, called the numerical Fovea, is a general discrete algorithm tuned to image inversion problems and matches the basic characteristics of the human visual system. In fact distance, working in feedback. This kind of structure allows for the formation of images according to the binocular field of view. The represented algorithm operates in a discrete variable domain. Beyond the advantages in terms of simplicity and computational speed, it agrees with the results of biological observation which reveal that the elements sensitive to light stimuli are finite in number. Thus, the domain of interest can be modeled as a couple of bi-dimensional lattices having the mathematical structure of discrete vector groups, consistently with the geometrical receptor displacement in the human fovea. The receptor multilayer structure can be described by a recursive relation. A numerical example is presented: for every source reconstruction problem an optimal computational precision level can be selected according to the required accuracy.
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