Discrete Invariants of Curves and Surfaces Год выпуска: 2012Автор: Jun ZhaoИздательство: LAP Lambert Academic PublishingСтраниц: 120ISBN: 9783848413652Описание First we discuss the construction of the signatures of curves and surfaces both in smooth and discrete cases. The purpose is to find appropriate differential and discrete invariants which can be used as coordinates in the pictures of signature curves and surfaces. Next we study variational problems for smooth curves and curves approximated by B-spline curves. Our main application is to the curve completion problem in 2D and 3D. In the smooth case, the aim is to find the solution of the smooth Euler-Lagrange equations which subject to curve completion problems using moving frames and syzygies. In discrete case, the aim is to find various aesthetically pleasing solutions as opposed to a solution of a physical problem. The discrete Lagrangians of interest are invariant under the special Euclidean group action for which B-spline approximated curves are well suited. Finally, a brief discussion of combining moving frames and Conformal Geometric Algebra is given. Its application...
Похожие книги
Lowell Turner, Harry Katz, Richard Hurd, Harry C. Katz, Richard W. Hurd, New York State School of Industrial and Labor Relations. Rekindling the Movement: Labor's Quest for Relevance in the Twenty-First Century (Frank W. Pierce Memorial Lectureship and Conference Series, No. 11). – М.: , 0. – 0 с. Peter Boone, Stanislaw Gomulka, Richard Layard, P. R. G. Layard, London School of Economics and Political Science Centre for Economic P. Emerging from Communism: Lessons from Russia, China, and Eastern Europe. – М.: , 0. – 0 с. Deni Elliott, Judy E. Stern, Institute for the Study of Applied and Professional Ethics. Research Ethics: A Reader. – М.: , 0. – 0 с. National Academy of Engineering and Commission on Behavioral and Socia. People and Technology in the Workplace. – М.: , 0. – 0 с. David Card, Richard Blundell, Richard B. Freeman, London School of Economics and Political Science Centre for Economic P, David E. Card. Seeking a Premier Economy: The Economic Effects of British Economic Reforms, 1980-2000 (National Bureau of Economic Research). – М.: , 0. – 0 с. NATO Advanced Research Workshop on Science for Reduction of Risk and s, Alik Ismail-Zadeh. Risk Science and Sustainability: Science for Reduction of Risk and Sustainable Development for Society (NATO SCIENCE SERIES II MATHEMATICS, PHYSICS AND CHEMISTRY). – М.: , 0. – 0 с. Jeffrey A. McNeely, International Union for Conservation of Nature and Natural Resources, Ve World Congress on National Parks and Protected Areas 1992 Caracas. Expanding Partnerships in Conservation. – М.: , 0. – 0 с. Us Department of Housing and Urban Devel, Donna E. Shalala. The Conversion of Rental Housing to Condominiums and Cooperatives: A National Study of Scope, Causes and Impacts. – М.: , 0. – 0 с. Office of Management and Budget (U.S.). Budget of the United States Government, Fiscal Year 2004. – М.: , 2003. – 0 с. Office of Management and Budget (U.S.). Budget of the United States Government, Fiscal Year 2005: Historical Tables (Historical Tables Budget of the United States Government). – М.: , 2004. – 0 с. Institute of Management and Administrati. Cost Reduction and Control Best Practices : The Best Ways for a Financial Manager to Save Money (Wiley Best Practices). – М.: , 2005. – 0 с. National Association of Industrial and Office Properties. 2008-2009 NAIOP Compensation Report. – М.: , 2008. – 123 с. United Nations.Department of Economic and Social Affairs. Statistics Division. Energy Balances and Electricity Profiles 2005. – М.: , 2008. – 668 с. United Nations.Department of Economic and Social Affairs. Division for Public Administration and Dev. Public Enterprises: Unresolved Challenges and New Opportunities. – М.: , 2008. – 152 с. United Nations.Department of Economic and Social Affairs. Statistics Division. National Accounts Statistics: Analysid of Main Aggregates, 2006. – М.: , 2008. – 296 с. Committee on Forefronts of Science at the Interface of Physical and Life Sciences, National Research. Research at the Intersection of the Physical and Life Sciences. – М.: , 2010. – 102 с. Institute of Management and Administration (IOMA). Cost Reduction and Control Best Practices. – М.: , 2005. – 544 с. Образцы работ
Задайте свой вопрос по вашей теме
Контакты
Поделиться
Мы в социальных сетях
Реклама
Отзывы
Дмитрий Спасибо, работа после вашего сопровождения устраивает.
