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Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface  Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration.  .

Mathematics --- Geometry --- Discrete mathematics --- Geology. Earth sciences --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- computervisie --- draadloze computernetwerken --- discrete wiskunde --- grafische vormgeving --- informatica --- externe fixatie (geneeskunde --- wiskunde --- geometrie

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String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. Here, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.--From publisher description.

Hyperspace --- String models --- Fourth dimension --- Fourth dimension. --- Hyperspace. --- String models. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- 530.19 --- 512.7 --- Space of more than three dimensions --- Time travel --- Models, String --- String theory --- Nuclear reactions --- Algebraic configurations in hyperspace --- Geometry, Differential --- Geometry, Non-Euclidean --- Space and time --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Algebraic geometry. Commutative rings and algebras --- Foundations --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 512.7 Algebraic geometry. Commutative rings and algebras --- Hyperespace --- Modèles des cordes vibrantes (Physique nucléaire) --- Quatrième dimension --- Modèles des cordes vibrantes (Physique nucléaire) --- Quatrième dimension --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc