001438356 000__ 04744cam\a2200625\i\4500 001438356 001__ 1438356 001438356 003__ OCoLC 001438356 005__ 20230309004301.0 001438356 006__ m\\\\\o\\d\\\\\\\\ 001438356 007__ cr\un\nnnunnun 001438356 008__ 210723s2021\\\\sz\a\\\\o\\\\\001\0\eng\d 001438356 019__ $$a1261364663$$a1266809002 001438356 020__ $$a9783030744861$$q(electronic bk.) 001438356 020__ $$a3030744868$$q(electronic bk.) 001438356 020__ $$z9783030744854 001438356 020__ $$z303074485X 001438356 0247_ $$a10.1007/978-3-030-74486-1$$2doi 001438356 035__ $$aSP(OCoLC)1261306277 001438356 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dDCT$$dOCLCF$$dOCLCQ$$dCOM$$dOCLCO$$dSFB$$dOCLCQ 001438356 049__ $$aISEA 001438356 050_4 $$aTA331$$b.S97 2021 001438356 08204 $$a620.001/51$$223 001438356 24500 $$aSystems, patterns and data engineering with geometric calculi /$$cSebastià Xambó-Descamps, editor. 001438356 264_1 $$aCham :$$bSpringer,$$c[2021] 001438356 264_4 $$c©2021 001438356 300__ $$a1 online resource :$$billustrations (some color) 001438356 336__ $$atext$$btxt$$2rdacontent 001438356 337__ $$acomputer$$bc$$2rdamedia 001438356 338__ $$aonline resource$$bcr$$2rdacarrier 001438356 347__ $$atext file 001438356 347__ $$bPDF 001438356 4901_ $$aSEMA SIMAI Springer series. ICIAM 2019 SEMA SIMAI Springer Series,$$x2662-7183 ;$$vvolume 13 001438356 500__ $$aIncludes author index. 001438356 5050_ $$a1 I. Zaplana, New Perspectives on Robotics with Geometric Calculus -- 2 C. Lavor and R. Alves, Recent advances on oriented conformal geometric algebra applied to molecular distance geometry -- 3 S. Franchini and S. Vitabile, Geometric Calculus Applications to Medical Imaging: Status and Perspectives -- 4 L. Dorst, Optimal Combination of Orientation Measurements Under Angle, Axis and Chord Metrics -- 5 P. Colapinto, Space-Bending Lattices through Conformal Transformation of Principal Contact Elements -- 6 L. A. F. Fernandes, Exploring Lazy Evaluation and Compile-Time Simplifications for Efficient Geometric Algebra Computations -- 7 E. U. Moya-Sánchez et al., A Quaternion Deterministic Monogenic CNN Layer for Contrast Invariance -- 8 S. Xambó-Descamps et al., Geometric Calculi and Automatic Learning: An Overview. 001438356 506__ $$aAccess limited to authorized users. 001438356 520__ $$aThe intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra. The book fits, broadly speaking, within the realm of mathematical engineering, and consequently, it is intended for a wide spectrum of research profiles. In particular, it should bring inspiration and guidance to those looking for materials and problems that bridge GC with applications of great current interest, including the auspicious field of GC-based deep neural networks. 001438356 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 2, 2021). 001438356 650_0 $$aEngineering mathematics. 001438356 650_0 $$aGeometry, Differential. 001438356 650_0 $$aCalculus. 001438356 650_6 $$aMathématiques de l'ingénieur. 001438356 650_6 $$aGéométrie différentielle. 001438356 650_6 $$aCalcul infinitésimal. 001438356 655_7 $$aLlibres electrònics.$$2thub 001438356 655_0 $$aElectronic books. 001438356 7001_ $$aXambó-Descamps, S.$$q(Sebastián),$$d1945-$$eeditor. 001438356 77608 $$iPrint version:$$tSystems, patterns and data engineering with geometric calculi.$$dCham : Springer, [2021]$$z303074485X$$z9783030744854$$w(OCoLC)1242465195 001438356 830_0 $$aSEMA SIMAI Springer series.$$pICIAM 2019 SEMA SIMAI Springer series.$$x2662-7183 001438356 830_0 $$aSEMA SIMAI Springer series ;$$vv. 13. 001438356 852__ $$bebk 001438356 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-74486-1$$zOnline Access$$91397441.1 001438356 909CO $$ooai:library.usi.edu:1438356$$pGLOBAL_SET 001438356 980__ $$aBIB 001438356 980__ $$aEBOOK 001438356 982__ $$aEbook 001438356 983__ $$aOnline 001438356 994__ $$a92$$bISE