3,092 research outputs found

    Koszul algebras and regularity

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    This is a survey paper on commutative Koszul algebras and Castelnuovo-Mumford regularity. We describe several techniques to establish the Koszulness of algebras. We discuss variants of the Koszul property such as strongly Koszul, absolutely Koszul and universally Koszul. We present several open problems related with these notions and their local variants

    Briefwisseling Aldo Rossi – Ezio Bonfanti

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    Notes and correspondence from Aldo Rossi and Ezio Bonfanti dated 30 December 1970, 2 and 3 January 1971.Notities en brieven van Aldo Rossi en Ezio Bonfanti van 30 December 1970, 2 en 3 January 1971.&nbsp

    Multimodal correlation and intraoperative matching of virtual models in neurosurgery

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    The multimodal correlation between different diagnostic exams, the intraoperative calibration of pointing tools and the correlation of the patient's virtual models with the patient himself, are some examples, taken from the biomedical field, of a unique problem: determine the relationship linking representation of the same object in different reference frames. Several methods have been developed in order to determine this relationship, among them, the surface matching method is one that gives the patient minimum discomfort and the errors occurring are compatible with the required precision. The surface matching method has been successfully applied to the multimodal correlation of diagnostic exams such as CT, MR, PET and SPECT. Algorithms for automatic segmentation of diagnostic images have been developed to extract the reference surfaces from the diagnostic exams, whereas the surface of the patient's skull has been monitored, in our approach, by means of a laser sensor mounted on the end effector of an industrial robot. An integrated system for virtual planning and real time execution of surgical procedures has been realized
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