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ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 2

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Tham khảo tài liệu 'robotics handbook of computer vision algorithms in image algebra part 2', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | product maximum minimum Euclidean norm L1 norm L norm dimension neighborhood characteristic function x x1x2 xn ix X1 I x2 I I Xn x X1 g x2 g 1 xn I Ml 2 VM I x l1 x1 x2 x x x1 I x2 I I xn dim x n c ft V z 1 if z X io ifzgx It is important to note that several of the above unary operations are special instances of spatial transformations X Y. Spatial transforms play a vital role in many image processing and computer vision tasks. In the above summary we only considered points with real- or integer-valued coordinates. Points of other spaces have their own induced operations. For example typical operations on points of i.e. Boolean-valued points are the usual logical operations of AND OR XOR and complementation. Point Set Operations Point arithmetic leads in a natural way to the notion of set arithmetic. Given a vector space Z then for X Y 2Z i.e. X Y 4 Z and an arbitrary point p Z we define the following arithmetic operations addition subtraction point addition point subtraction X Y x y x X and y Y X - Y x - y x X and y Y X p x p x X X - p x - p x X Previous Table of Contents Next HOME SUBSCRIBE Search FAQ SITEMAP CONTACT US Products Contact Us About Us Privacy Ad Info Home Use of this site is subject to certain Terms Conditions Copyright 1996-2000 EarthWeb Inc. All rights reserved. Reproduction whole or in part in any form or medium without express written permission of EarthWeb is prohibited. Read EarthWeb s privacy statement. product maximum minimum Euclidean norm L1 norm L norm dimension neighborhood characteristic function x x1x2 xn ix X1 I x2 I I Xn x X1 g x2 g 1 xn I Ml 2 VM I x l1 x1 x2 x x x1 I x2 I I xn dim x n c ft V z 1 if z X io ifzgx It is important to note that several of the above unary operations are special instances of spatial transformations X Y. Spatial transforms play a vital role in many image processing and computer vision tasks. In the above summary we only considered points with real- or integer-valued coordinates. Points of other spaces .