Principal Directions in an Affine-Connected Manifold of Two Dimensions
نویسندگان
چکیده
منابع مشابه
Analyzing Magnification Factors and Principal Spread Directions in Manifold Learning
Great amount of data under varying intrinsic features is thought of as high dimensional nonlinear manifold in the observation space. How to analyze the mapping relationship between the high dimensional manifold and the corresponding intrinsic low dimensional one quantitatively is important to machine learning and cognitive science. In this paper, we propose SVD (singular value decomposition) ba...
متن کاملAn Affine Embedding of the Gamma Manifold
For the space of gamma distributions with Fisher metric and exponential connections, natural coordinate systems, potential functions and an affine immersion in R3 are provided.
متن کاملAffine matching of two sets of points in arbitrary dimensions
In many applications of computer vision, image processing, and remotely sensed data processing, an appropriate matching of two sets of points is required. Our approach assumes one–to–one correspondence between these sets and finds the optimal global affine transformation that matches them. The suggested method can be used in arbitrary dimensions. A sufficient existence condition for a unique tr...
متن کاملDetermination of Principal Permeability Directions in Reservoir Rocks from Micro-CT Data
The routine measurement of direction-dependent reservoir rock properties like permeability often takes place along the axial direction of core samples. As permeability is a tensor property of porous materials, it should be fully described by a tensor matrix or by three main permeabilities in principal directions. Due to compaction, cementation, and other lithification processes, which take plac...
متن کاملsynthesis of platinum nanostructures in two phase system
چکیده پلاتین، فلزی نجیب، پایدار و گران قیمت با خاصیت کاتالیزوری زیاد است که کاربرد های صنعتی فراوانی دارد. کمپلکس های پلاتین(ii) به عنوان دارو های ضد سرطان شناخته شدند و در شیمی درمانی بیماران سرطانی کاربرد دارند. خاصیت کاتالیزوری و عملکرد گزینشی پلاتین مستقیماً به اندازه و- شکل ماده ی پلاتینی بستگی دارد. بعضی از نانو ذرات فلزی در سطح مشترک مایع- مایع سنتز شده اند، اما نانو ساختار های پلاتین ب...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1924
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.10.4.127