Quaternions, Spinors, and Surfaces
George Kamberov
ມ.ກ. 2002 · Contemporary mathematics - American Mathematical Society ຫົວທີ 299 · American Mathematical Soc.
ປຶ້ມອີບຸກ
138
ໜ້າ
reportບໍ່ໄດ້ຢັ້ງຢືນການຈັດອັນດັບ ແລະ ຄຳຕິຊົມ ສຶກສາເພີ່ມເຕີມ
ກ່ຽວກັບປຶ້ມ e-book ນີ້
Many problems in pure and applied mathematics boil down to determining the shape of a surface in space or constructing surfaces with prescribed geometric properties. These problems range from classical problems in geometry, elasticity, and capillarity to problems in computer vision, medical imaging, and graphics. There has been a sustained effort to understand these questions, but many problems remain open or only partially solved. These include determining the shape of a surface from its metric and mean curvature (Bonnet's problem), determining an immersion from the projectivised Gauss map (Christoffel's problem) and its applications to the computer vision problem on recovering shape from shading, the construction of surfaces with prescribed curvature properties, constructing extremal surfaces and interfaces, and representing surface deformations.
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