WO2023159420A1 - Procédé de mesure d'incertitude de relation de distance et de direction - Google Patents

Procédé de mesure d'incertitude de relation de distance et de direction Download PDF

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Publication number
WO2023159420A1
WO2023159420A1 PCT/CN2022/077657 CN2022077657W WO2023159420A1 WO 2023159420 A1 WO2023159420 A1 WO 2023159420A1 CN 2022077657 W CN2022077657 W CN 2022077657W WO 2023159420 A1 WO2023159420 A1 WO 2023159420A1
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WO
WIPO (PCT)
Prior art keywords
uncertain
point
distance
error
uncertainty
Prior art date
Application number
PCT/CN2022/077657
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English (en)
Chinese (zh)
Inventor
毛政元
范琳娜
Original Assignee
福州大学
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 福州大学 filed Critical 福州大学
Priority to PCT/CN2022/077657 priority Critical patent/WO2023159420A1/fr
Publication of WO2023159420A1 publication Critical patent/WO2023159420A1/fr

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/05—Geographic models

Definitions

  • the present invention relates to the field of surveying and mapping and geographic information science (attributed by subject) and geospatial data consistency verification and control, land resource management and law enforcement, surface change detection and urban and rural planning and other related topics and fields (attributed by application), specifically It is a measurement method for the uncertainty of the relationship between distance and direction caused by the uncertainty of point information.
  • the spatial location information recorded in the geospatial database is uncertain.
  • the spatial relationship can be intuitively understood as a function of the spatial position.
  • a definite spatial position leads to a definite spatial relationship, while an uncertain spatial position leads to an uncertain spatial relationship.
  • the uncertainty of spatial relationship can be regarded as the uncertainty of spatial position via the Transfer of functional relations. How to scientifically and reasonably measure this uncertainty is crucial for improving the quality and efficiency of geospatial data processing and analysis, improving the consistency verification and control of geospatial data, land resource management and law enforcement, surface change detection and urban and rural planning, etc.
  • Spatial relationship includes distance relationship, direction relationship, topological relationship, etc.
  • This patent focuses on the measurement method of the uncertainty of distance and direction relationship caused by point uncertainty. Previous research on this problem is less, and the research results have not yet fully revealed the functional relationship from the uncertainty of point information to the uncertainty of the relationship between distance and direction. At present, there is no good solution in the industry.
  • the invention provides a measurement method for the uncertainty of distance and direction relationship information caused by the uncertainty of point information, and reveals the point position uncertainty by establishing a quantitative model of point position uncertainty, distance relationship between points, and direction relationship uncertainty.
  • the functional relationship of information uncertainty to the transmission of distance and direction information uncertainty is scientific, reasonable, practical and efficient.
  • the present invention includes:
  • the possible range of the actual position of the uncertain point is described by an error circle with its observed position as the center; when the application involved is a three-dimensional space, The possible range of the actual position of the uncertain point is described by an error sphere with its observed position as the center of the sphere; An error hypersphere description with its observation position as the center of the hypersphere.
  • z is a random variable, which represents the possible value of the distance between a definite point and an uncertain point
  • g 1 (z) is the density function of the random variable z
  • x (x>0) is the definite point and the uncertain point
  • the distance between the observation positions, r(0 ⁇ r ⁇ x) is the radius of the error circle
  • t is the integral variable
  • t 1 and t 2 are the upper and lower limits of the integral interval corresponding to the integral variable
  • u (zcost-x,zsint)
  • k(u) represents the distribution density function that the actual position of the uncertain point appears in the corresponding error circle, which describes the nature of the uncertain point, and k(u) is commonly used
  • the analytical expression is as follows:
  • formula (1) and its variables are expanded into corresponding forms based on the relevant knowledge of spherical trigonometry, three-dimensional analytic geometry and multi-dimensional vector.
  • z is a random variable, indicating the possible value of the distance between two uncertain points
  • g 2 (z) is the density function of the random variable z
  • L is the distance between the observation positions of two uncertain points
  • r (0 ⁇ r ⁇ L) is the radius of the error circle
  • x is the distance from the first uncertain point to the observation position of the second uncertain point
  • ⁇ 1 (z) max(zr,Lr)
  • t is the integral variable
  • t 3 , t 4 , t 5 , t 6 are the upper and lower limits of the integral interval corresponding to the integral variable
  • (2)-(7) the formula (8) and its variables are respectively expanded into corresponding forms according to the relevant knowledge of spherical trigonometry, solid analytic geometry and multi-dimensional vector
  • f 1 ( ⁇ ) is the density function of the random variable ⁇
  • x(x>0) is the distance between the observation positions of the fixed point and the uncertain point
  • r(0 ⁇ r ⁇ x) is the radius of the error circle
  • t is the integral variable
  • t 7 , t 8 are the upper and lower limits of the integral interval corresponding to the integral variable
  • f 2 ( ⁇ ) is the density function of the random variable ⁇
  • L is half of the observation distance between two uncertain points
  • r (0 ⁇ r ⁇ L) is the radius of the error circle
  • a, x are the integral variables
  • x 1 , x 2 , x 3 , x 4 are the upper and lower limits of the integral interval corresponding to the integral variable x
  • the beneficial effect of the present invention is that it provides more scientific, reasonable, practical and efficient measurement indicators for related topics such as geospatial data consistency verification and control, and also provides a basis for the design of land resource management and law enforcement, surface change detection and urban and rural planning and other related fields.
  • the solutions to various problems involving the uncertainty of the relationship between spatial distance and direction provide a more solid theoretical foundation and more robust technical support.

Abstract

La présente invention concerne un procédé de mesure pour mesurer une incertitude d'informations de relation de distance et de direction provoquée par une incertitude d'informations de position de point. La présente invention comprend : un procédé de mesure d'incertitude de relation de distance et de direction entre un point de certitude et un point incertain ou entre deux points incertains lorsque la position réelle du point incertain obtient, dans un cercle d'erreur/une sphère d'erreur/une hypersphère d'erreur centré(e) sur une position d'observation du point incertain, une distribution délimitée par une fonction prenant la position en tant que variable indépendante. La présente invention concerne une relation de fonction de transmission d'incertitude d'informations de position de point à une incertitude d'informations de distance et de direction provoquée par une incertitude d'informations de position de point, fournit des indices de mesure plus scientifiques, raisonnables, pratiques et efficaces pour une vérification et une commande de cohérence de données d'espace géographique, et fournit une base théorique plus solide et un support technique plus robuste pour concevoir des solutions de divers problèmes dans les domaines associés de gestion de ressources de terrain et d'application de loi, de détection de changement de surface et de planification urbaine et rurale et analogues.
PCT/CN2022/077657 2022-02-24 2022-02-24 Procédé de mesure d'incertitude de relation de distance et de direction WO2023159420A1 (fr)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PCT/CN2022/077657 WO2023159420A1 (fr) 2022-02-24 2022-02-24 Procédé de mesure d'incertitude de relation de distance et de direction

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PCT/CN2022/077657 WO2023159420A1 (fr) 2022-02-24 2022-02-24 Procédé de mesure d'incertitude de relation de distance et de direction

Publications (1)

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WO2023159420A1 true WO2023159420A1 (fr) 2023-08-31

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PCT/CN2022/077657 WO2023159420A1 (fr) 2022-02-24 2022-02-24 Procédé de mesure d'incertitude de relation de distance et de direction

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WO (1) WO2023159420A1 (fr)

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101853522A (zh) * 2010-04-30 2010-10-06 中国矿业大学(北京) 多维空间信息质量检测与分析模型及其建模方法
US20140257700A1 (en) * 2013-03-08 2014-09-11 The Government Of The United States Of America, As Represented By The Secretary Of The Navy System and method for estimating uncertainty for geophysical gridding routines lacking inherent uncertainty estimation
CN107610021A (zh) * 2017-07-21 2018-01-19 华中农业大学 环境变量时空分布的综合分析方法
CN107884825A (zh) * 2017-11-08 2018-04-06 电子科技大学 一种基于地震多属性的不确定性建模方法
CN112687001A (zh) * 2021-03-15 2021-04-20 四川省公路规划勘察设计研究院有限公司 三维地质结构模型随机生成及不确定性分析方法

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101853522A (zh) * 2010-04-30 2010-10-06 中国矿业大学(北京) 多维空间信息质量检测与分析模型及其建模方法
US20140257700A1 (en) * 2013-03-08 2014-09-11 The Government Of The United States Of America, As Represented By The Secretary Of The Navy System and method for estimating uncertainty for geophysical gridding routines lacking inherent uncertainty estimation
CN107610021A (zh) * 2017-07-21 2018-01-19 华中农业大学 环境变量时空分布的综合分析方法
CN107884825A (zh) * 2017-11-08 2018-04-06 电子科技大学 一种基于地震多属性的不确定性建模方法
CN112687001A (zh) * 2021-03-15 2021-04-20 四川省公路规划勘察设计研究院有限公司 三维地质结构模型随机生成及不确定性分析方法

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
BIAN, YUXIA ET AL.: "Influence of Three-Dimensional Point Position Uncertainty on Three- Dimensional Distance and Area Measurement", GEOGRAPHY AND GEO-INFORMATION SCIENCE, vol. 30, no. 1, 31 January 2014 (2014-01-31), XP009548587, ISSN: 1672-0504 *
BIAN, YUXIA ET AL.: "Uncertainty Measurement Model of Three-Dimensional Polygon", GEOMATICS AND INFORMATION SCIENCE OF WUHAN UNIVERSITY, vol. 40, no. 1, 31 January 2015 (2015-01-31), XP009548562, ISSN: 1671-8860 *

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