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The Goblin Quadtree

R. Williams

Open publisher page 8 citations

Abstract

The Goblin quadtree is a new and simple data structure for representing spatial information. It stores a single pointer for each block of four nodes and average values at non-terminal nodes, enabling efficient depth-first traversal to any given level. The pointers are easy to generate and use, as demonstrated by algorithms for building and displaying Goblin quadtrees. The features of this new representation make it particularly suitable for geographic data. The concept of using a dominant value as the average value is explored, and is shown to be advantageous for quadtree display and storage.

About this research paper

What this paper is about

The Goblin quadtree is a new and simple data structure for representing spatial information. It stores a single pointer for each block of four nodes and average values at non-terminal nodes, enabling efficient depth-first traversal to any given level. The pointers are easy to generate and use, as demonstrated by algorithms for building and displaying Goblin quadtrees. The features of this new representation make it particularly suitable for geographic data. The concept of using a dominant value as the average value is explored, and is shown to be advantageous for quadtree display and storage.

Why it matters

OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Main findings

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Available abstract

The Goblin quadtree is a new and simple data structure for representing spatial information. It stores a single pointer for each block of four nodes and average values at non-terminal nodes, enabling efficient depth-first traversal to any given level. The pointers are easy to generate and use, as demonstrated by algorithms for building and displaying Goblin quadtrees. The features of this new representation make it particularly suitable for geographic data. The concept of using a dominant value as the average value is explored, and is shown to be advantageous for quadtree display and storage.

Key concepts: Quadtree, Tree traversal, Pointer (user interface), Computer science, Data structure, Computer graphics (images), Representation (politics), Block (permutation group theory)

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