Hilbert curve encoding and decoding method based on state view

A decoding method and status technology, applied in the field of geographic information systems, to achieve fast encoding and decoding, improve efficiency, and improve encoding and decoding efficiency

Pending Publication Date: 2019-11-15
KUNMING UNIV OF SCI & TECH
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Problems solved by technology

[0007] The technical problem to be solved in the present invention is to address the above problems, based on the state view, it is proposed that the complexity is O(log 2 (max(x,y))) is a co

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  • Hilbert curve encoding and decoding method based on state view

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Embodiment 1

[0048] Embodiment 1: a kind of Hilbert curve encoding and decoding method based on state view, specifically:

[0049] Hilbert curve state view construction phase:

[0050] Step110: as figure 1 , the first-order Hilbert curve divides the entire space into 2×2 grids, and each grid corresponds to a physical coordinate (composed of abscissa and ordinate); this patent specifies the physical coordinates corresponding to the lower left, upper left, lower right, and upper right grids. The binary values ​​of the coordinates are 00, 01, 10, and 11, where the first bit of the binary value is the abscissa value, and the second bit is the ordinate value; the first-order Hilbert curve has 4 states: state 0, state 1, and state 2 , State 3, respectively corresponding to the state when the opening of the first-order Hilbert curve is downward, left, upward and right.

[0051] Step120: if figure 2 It is a second-order and third-order Hilbert curve diagram. Each state has a code value corresp...

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Abstract

The invention relates to a Hilbert curve encoding and decoding method based on a state view, and belongs to the technical field of geographic information systems. The Hilbert curve encoding and decoding method comprises a stage of constructing a Hilbert curve state view: for a given state, respectively constructing two mapping tables of physical coordinates and coded values for coding, a mapping table of the physical coordinates and a next-order state, two reverse mapping tables of the coded values and the physical coordinates for decoding, and a reverse mapping table of the coded values and the next-order state; a Hilbert curve encoding stage: inquiring the state view from the bit, with the maximum incomplete value being 0, in binary representation of the input coordinates x and y, and calculating Hilbert encoding; and a the Hilbert decoding stage, inquiring a state view from the position which is not zero at most in the binary representation of the input Hilbert code, and calculatinga physical coordinate value. The Hilbert curve encoding and decoding method can reduce the complexity of Hilbert coding, and can better adapt to skew distribution of data.

Description

technical field [0001] The invention relates to a Hilbert curve encoding and decoding method based on a state view, and belongs to the technical field of geographic information systems. Background technique [0002] In recent years, with the popularization of mobile devices and the rapid development of location-based services, the generated spatial data is also growing rapidly. [0003] Fast spatial data query is the most common operation in spatial data management, which needs the support of efficient spatial index structure. At present, the mainstream spatial index structures, such as R-tree, K-D tree, Quad-Tree, etc., are mostly multi-dimensional index structures, and the index created by them is getting larger and more complex. [0004] The space-filling curve has the characteristics of space-filling, non-self-intersecting, simple and self-similar (FSST characteristics), which can reduce the high-dimensional data to a one-dimensional representation while maintaining the...

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Application Information

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IPC IPC(8): G06F16/22G06F16/29
CPCG06F16/2282G06F16/29
Inventor 贾连印陈明鲜李孟娟丁家满游进国唐季林张崇德
Owner KUNMING UNIV OF SCI & TECH
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