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Review: Kd-tree Traversal Algorithms for Ray Tracing
Review: Kd-tree Traversal Algorithms for Ray Tracing

I n - Virginia Tech
I n - Virginia Tech

... – A function is a matching between inputs (the domain) and outputs (the range). – An input to a function may be single number, or a collection of information. – The values making up an input are called the parameters of the function. – A particular input must always result in the same output every t ...
Logarithmic data structures for multicores
Logarithmic data structures for multicores

... test-and-set spinlocks are prone to the “cache line bouncing problem” where acquiring a lock invalidates the cache of all threads reading the lock as they are waiting for its release. Although some recommend the use of more scalable locks [20], there is a growing interest in non-blocking operations ...
Data Structures
Data Structures

...  Note that if the link in the last node of the list does not have the value nullptr, the printing algorithm will erroneously attempt to print past the end of the list.  Our printing algorithm is identical for linked lists, stacks and queues (because we base each of these data structures on the sam ...
Data Structures
Data Structures

...  Note that if the link in the last node of the list does not have the value nullptr, the printing algorithm will erroneously attempt to print past the end of the list.  Our printing algorithm is identical for linked lists, stacks and queues (because we base each of these data structures on the sam ...
Here
Here

... deletion shortened either subtree of the tree root node. If that was the case, then it may be necessary to perform a rotation at the tree root itself. Thus, the helper function(s) must be recursive and must indicate whether a subtree was shortened; this may be accomplished by use of a bool parameter ...
LI3120702076
LI3120702076

Data Structures Using C(cs221) - Prof. Ramkrishna More Arts
Data Structures Using C(cs221) - Prof. Ramkrishna More Arts

chap06
chap06

... patterns used in a singly linked list except that the last node points to the first node. Therefore, when inserting or deleting the last node, in addition to updating the rear pointer in the header, we must also point the link field to the first node.  In a singly linked list, when we arrive at the ...
as a PDF
as a PDF

... (2) Is the constant factor in the fully dynamic algorithms small such that an ecient implementation is possible? New Results. This paper gives a positive answer to both questions. It presents a new technique for designing fully dynamic algorithms with polylogarithmic time per operation and applies ...
Lecture Notes on Tries
Lecture Notes on Tries

ppt
ppt

... the ends lead to many special cases in the code SOLUTION: add dummy nodes to both ends of the list  the dummy nodes store no actual values  instead, they hold the places so that the front & back never change  removes special case handling ...
ppt - Dave Reed
ppt - Dave Reed

... the ends lead to many special cases in the code SOLUTION: add dummy nodes to both ends of the list  the dummy nodes store no actual values  instead, they hold the places so that the front & back never change  removes special case handling ...
Efficient External-Memory Bisimulation on DAGs
Efficient External-Memory Bisimulation on DAGs

... 1. the nodes have the same label: l1 (n1 ) = l2 (n2 ); 2. for every node n01 ∈ children(n1 ) there is a node n02 ∈ children(n2 ) such that n01 ≈ n02 ; and, 3. for every node n02 ∈ children(n2 ) there is a node n01 ∈ children(n1 ) such that n01 ≈ n02 . We can extend this notion to complete graphs as ...
20 Introduction to Lists
20 Introduction to Lists

... Access to either end is O(1), but generally is still O(N) Still cannot move backward; insertion or removal at the head or tail is still a special case Removal at the tail is still linear ...
4pps - Joshua Cantrell`s Portal
4pps - Joshua Cantrell`s Portal

... that make up our high-level data structure. Likewise, when representing these high-level data structures by pictures or words, we don't want to draw it in respect to its low-level components. An example of this picture abstraction would be the manufacturing of widgets for industrial purposes. Widget ...
Chapter 15
Chapter 15

Analysis of Approximate Nearest Neighbor Searching
Analysis of Approximate Nearest Neighbor Searching

... can be applied for any Minkowski metric. In addition to storing the splitting hyperplane, each internal node of the tree also stores the extents of associated cell projected orthogonally onto its splitting axis. The algorithm does not maintain true distances, but instead (for the Euclidean metric) m ...
Automatic Fault Location for Data Structures
Automatic Fault Location for Data Structures

... Prior works have proposed specification languages that are rich but complex. For example, in the approach by Demsky and Rinard [12], specifying a doubly-linked list takes 14 lines of specification whereas in our approach it takes just 4 lines. Moreover, our language is powerful so it allows specifyi ...
The Buffer Tree
The Buffer Tree

in-memory data structure for google datastore on multi
in-memory data structure for google datastore on multi

... gratitude to my parents and friends, for their ceaseless love and support, without which this work would not have been possible. ...
2004: Gang Qian
2004: Gang Qian

Parametric and Kinetic Minimum Spanning Trees
Parametric and Kinetic Minimum Spanning Trees

... Suppose we are given two edge-disjoint subgraphs G and H; their union is the whole graph, and their (vertex) intersection is a separator X . We describe how to find a certificate C (G ; H) for G . The certificate is a graph of size O(jX j), obtained by contracting certain vertices and edges of G . T ...
A Practical Introduction to Data Structures and Algorithm Analysis
A Practical Introduction to Data Structures and Algorithm Analysis

... Problem: a task to be performed. • Best thought of as inputs and matching ...
6: linked lists
6: linked lists

...  When the head pointer of the list is null, then the list is empty.  Delete Node  Logically remove a node from the linked list by changing various link pointers and then physically deleting the node from dynamic memory.  Delete can be done at the first node, at the last node or at a specified po ...
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Interval tree

In computer science, an interval tree is a tree data structure to hold intervals. Specifically, it allows one to efficiently find all intervals that overlap with any given interval or point. It is often used for windowing queries, for instance, to find all roads on a computerized map inside a rectangular viewport, or to find all visible elements inside a three-dimensional scene. A similar data structure is the segment tree.The trivial solution is to visit each interval and test whether it intersects the given point or interval, which requires O(n) time, where n is the number of intervals in the collection. Since a query may return all intervals, for example if the query is a large interval intersecting all intervals in the collection, this is asymptotically optimal; however, we can do better by considering output-sensitive algorithms, where the runtime is expressed in terms of m, the number of intervals produced by the query. Interval trees have a query time of O(log n + m) and an initial creation time of O(n log n), while limiting memory consumption to O(n). After creation, interval trees may be dynamic, allowing efficient insertion and deletion of an interval in O(log n). If the endpoints of intervals are within a small integer range (e.g., in the range [1,...,O(n)]), faster data structures exist with preprocessing time O(n) and query time O(1+m) for reporting m intervals containing a given query point.
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