A formula for computing the number of quadtree node fragments created by a shift

نویسنده

  • Clifford A. Shaffer
چکیده

A formula is provided to compute the number of new blocks resulting from the decomposition induced by a shift of a single quadtree node of arbitrary size by an arbitrary amount. A precise calculation is also presented for the average number of BLACK nodes required to represent a square of width 2 m in a region quadtree.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Analysis of the N-dimensional Quadtree Decomposition for Arbitrary Hyper-rectangles

We give a closed-form expression for the average number of n-dimensional quadtree nodes (`pieces' or`blocks') required by an n-dimensional hyper-rectangle aligned with the axes. Our formula includes as special cases the formulae of previous eeorts for 2-dimensional spaces 8]. It also agrees with theoretical and empirical results that the number of blocks depends on the hyper-surface of the hype...

متن کامل

Evolutionary Computing Assisted Wireless Sensor Network Mining for QoS-Centric and Energy-efficient Routing Protocol

The exponential rise in wireless communication demands and allied applications have revitalized academia-industries to develop more efficient routing protocols. Wireless Sensor Network (WSN) being battery operated network, it often undergoes node death-causing pre-ma...

متن کامل

Analysis of the n - dimensional quadtreedecomposition for arbitrary

We give a closed-form expression for the average number of n-dimensional quadtree nodes (`pieces' or`blocks') required by an n-dimensional hyper-rectangle aligned with the axes. Our formula includes as special cases the formulae of previous eeorts for 2-dimensional spaces 8]. It also agrees with theoretical and empirical results that the number of blocks depends on the hyper-surface of the hype...

متن کامل

Analysis of the n - dimensional quadtreedecomposition for arbitrary hyper - rectanglesChristos

We give a closed-form expression for the average number of n-dimensional quadtree nodes (`pieces' or`blocks') required by an n-dimensional hyper-rectangle aligned with the axes. Our formula includes as special cases the formulae of previous eeorts for 2-dimensional spaces 8]. It also agrees with theoretical and empirical results that the number of blocks depends on the hyper-surface of the hype...

متن کامل

A confidence-aware interval-based trust model

It is a common and useful task in a web of trust to evaluate the trust value between two nodes using intermediate nodes. This technique is widely used when the source node has no experience of direct interaction with the target node, or the direct trust is not reliable enough by itself. If trust is used to support decision-making, it is important to have not only an accurate estimate of trust, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Pattern Recognition Letters

دوره 7  شماره 

صفحات  -

تاریخ انتشار 1988