PPT-2 . 8. Binary Space Partitioning Trees

2 8 Binary Space Partitioning Trees Exploration of BSP trees BSP Trees Overview of binary spacepartitioning trees BSP Tree Hierarchies A binary spacepartitioning BSP tree recursively partitions space into pairs of subspaces with respect to dividing planes of arbitrary position and orientation The two partitions are referred to as the positive and negative. CIS 606. Spring 2010. Search trees. Data structures that support many dynamic-set operations.. Can . be used as both a dictionary and as a priority queue.. Basic . operations take time proportional to the height of the tree.. D. D. . Sleator. and R. E. . Tarjan. | AT&T Bell Laboratories. Journal of the ACM . | Volume 32 | Issue 3 | Pages 652-686 | 1985. Presented By: . James A. Fowler, Jr. | November 30, 2010. George Mason University | Fairfax, Virginia. CS 46101 Section 600. CS 56101 Section 002. . Dr. Angela Guercio. Spring 2010. Search trees. Data structures that support many dynamic-set operations.. Can . be used as both a dictionary and as a priority queue.. N. children. Definition. Perfect . N. -. ary. trees. Complete . N. -. ary. trees. Implementation using templates. Outline. N. -ary Trees. One generalization of binary trees are a class of trees termed . and AVL Trees. The Most Beautiful Data Structures in the World. This animation is a PowerPoint slideshow. Hit the spacebar to advance. Hit the backspace key to go backwards . Hit the ESC key to terminate the show. Email your grader when you want your retries graded!. We won’t look at any retry . handins. until you email us. Even if you’re not done, hand in something!. Knowing exactly what you’re missing makes getting the standard retry correct a lot easier. D. D. . Sleator. and R. E. . Tarjan. | AT&T Bell Laboratories. Journal of the ACM . | Volume 32 | Issue 3 | Pages 652-686 | 1985. Presented By: . James A. Fowler, Jr. | November 30, 2010. George Mason University | Fairfax, Virginia. Definitions and examples. Number of nodes: . 2. h. 1. – 1. Logarithmic height. Number of leaf nodes: . 2. h. Applications. Definition. Standard definition:. A perfect binary tree of height . h. Announcements. Submit P1 Conflict quiz on CMS by end of day Wednesday. We won’t be sending confirmations; no news is good news. Extra time people will eventually get an email from Lacy. Please be patient.. Important Announcements. A4 is out now and due two weeks from today. Have fun, and start early!. 2. 3. A picture of a singly linked list:. 2. 1. 1. 0. Node object. pointer. int. value. Today: trees!. Topic 18 Binary Trees "A tree may grow a thousand feet tall, but its leaves will return to its roots." -Chinese Proverb 2 Definitions A tree is an abstract data type one entry point, the root 2 . 8. Binary Space Partitioning Trees Exploration of BSP trees BSP Trees Overview of binary space-partitioning trees BSP Tree Hierarchies A binary space-partitioning (BSP) tree recursively partitions space into pairs of subspaces with respect to dividing planes of arbitrary position and orientation. The two partitions are referred to as the positive and negative 6. 9. 2. 4. 1. 8. <. >. =. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. data structure: Trees. a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes. . from Wikipedia. . Tree data structure is a collection of data (Node) which is organized in .