CN117333530B - Quantitative analysis method for change trend of Tibetan Qiang traditional aggregation building - Google Patents

Quantitative analysis method for change trend of Tibetan Qiang traditional aggregation building Download PDF

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CN117333530B
CN117333530B CN202311633878.4A CN202311633878A CN117333530B CN 117333530 B CN117333530 B CN 117333530B CN 202311633878 A CN202311633878 A CN 202311633878A CN 117333530 B CN117333530 B CN 117333530B
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熊薇
刘庆林
张越
李西
李湘
王利成
李鑫
张蕾
涂梦媛
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Sichuan Agricultural University
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Abstract

The invention discloses a quantitative analysis method for a change trend of a Tibetan Qiang traditional aggregation building, which comprises the following steps: s1, acquiring a high-resolution SAR image of a Tibetan-Qiang traditional aggregation building, and extracting the image of the Tibetan-Qiang traditional aggregation building by using an SAR image classification algorithm of an improved MRF model to obtain a building image; s2, extracting geometric information of the building according to the building image to obtain accurate geometric information of the building; s3, setting an observation time period, obtaining accurate geometric information of the building in the traditional building of the Tibetan Qiang in the observation time period, and completing quantitative analysis of the change trend of the traditional building of the Tibetan Qiang.

Description

Quantitative analysis method for change trend of Tibetan Qiang traditional aggregation building
Technical Field
The invention relates to the field of quantitative analysis of digital images, in particular to a quantitative analysis method for a change trend of a Tibetan Qiang traditional aggregation building.
Background
The Tibetan Qiang traditional colony is an "active state" colony which is formed in a history period along with the continuous evolution of time and has historic continuity and vitality so far. It has a long and deep historical cultural background, a clustered form according to local conditions and an ancient and unique building style. Especially, the unique time diversity is presented in the aspect of building landscape, so that the original landscape is fully precious, and the method becomes a precious resource for researching and protecting regional landscape.
In the existing research, the qualitative research on the traditional aggregation building is rich, and the quantitative research is less. Macroscopic level building research is still a typed study of building in large areas of geography, building type, historic years. Quantitative studies of microscopic level aggregate building details are limited to studies of architectural aesthetic arts, structures, construction skills, materials, etc. in single or multiple villages. Building trend research is performed in a certain area in the absence of mesoscale.
The traditional aggregation development planning needs accurate and scientific guidance, three-dimensional information reflecting building features is accurately quantized and extracted, quantitative comparison analysis is carried out by utilizing high-resolution images in different time periods, aggregation building change trend in a selected area range can be obtained, and analysis results are visually presented. A set of method for providing scientific basis for planning decision based on data analysis and discrimination is formed.
Disclosure of Invention
Aiming at the defects in the prior art, the quantitative analysis method for the change trend of the Tibetan Notopterygium traditional aggregation building solves the problems that the prior art cannot quantitatively analyze building characteristics and lacks research on the change trend of the aggregation building.
In order to achieve the aim of the invention, the invention adopts the following technical scheme: a quantitative analysis method for the change trend of Tibetan Qiang traditional aggregation building comprises the following steps:
s1, acquiring a high-resolution SAR image of a Tibetan-Qiang traditional aggregation building, and extracting the image of the Tibetan-Qiang traditional aggregation building by using an SAR image classification algorithm of an improved MRF model to obtain a building image;
s2, extracting geometric information of the building according to the building image to obtain accurate geometric information of the building;
s3, setting an observation time period, and obtaining accurate geometric information of the building in the traditional building with the built-in Notopterygium in the observation time period, so as to finish quantitative analysis of the change trend of the traditional building with the built-in Notopterygium.
Further: the step S1 comprises the following sub-steps:
s11, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building, and extracting the building by using an SAR image classification algorithm of an improved MRF model to obtain an initial building image;
s12, dividing a communication area with the same characteristics in the initial building image by using an area-based growth algorithm to obtain a separated building image;
s13, removing overlapping mask and shadow areas which do not belong to the building from the separated building image by adopting an object-oriented method based on shape characteristics, and obtaining the building image.
Further: the step S11 comprises the following sub-steps:
s111, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building;
s112, dividing the high-resolution SAR image into three region types and marking;
the three zone types include a building zone, a shadow zone, and a background zone;
s113, respectively describing three region types by using a fisher distribution, estimating distribution parameters of the three region types by using a parameter estimation method based on Mellin transformation, and establishing a SAR image statistical model according to step parameters to interpret the marked SAR image;
s114, performing pixel-level classification on the interpreted SAR image by using an improved MRF model;
s115, utilizing an object-oriented method based on shape characteristics, distinguishing a building from a non-building from the SAR image after pixel-level classification according to the rule that overlapping and masking areas and shadow areas of the building appear in pairs, and extracting pixels classified into the building to obtain an initial building image.
Further: the step S2 comprises the following sub-steps:
s21, directly measuring the overlay mask and the shadow in the SAR image of the building according to the three-dimensional information features of the building contained in the overlay mask and the shadow formed in the imaging of the SAR image of the building, and obtaining a geometric model of the building according to a measurement result;
s22, determining shadows and overlay positions of the buildings in the geometric model through geometric mapping relations;
s23, describing the characteristics of the landing building through a matching degree function;
s24, optimizing a matching degree function through a simulated genetic annealing algorithm, and obtaining accurate building length, width and height information as accurate geometric information of a building when the matching degree function is increased and reaches a stable value.
Further: in the step S21, when the width of the building is greater than or equal to the height of the building, the shadow area, part of the roof scattering area and the overlap area of the building are all displayed in the SAR image, thereby obtaining the height of the buildingHAnd width ofWThe formula of (2) is:
wherein,W shadow AndW fold and mask Respectively represent the width of the shadow area and the overlap area of the building,θrepresenting radar incidence angle during SAR flight.
Further: in the step S21, when the width of the building is smaller than the height of the building, the building sequentially forms a covering area and a shadow area in the SAR image to obtain the height of the buildingHAnd width ofWThe formula of (2) is:
further: in S23, the formula of the matching degree function is:
wherein,Mis a geometric model of a building and is a model of the building,k 0 andk s matching weights of the overlay mask boundary and the shadow boundary respectively represent morphological expansion of the overlay mask boundary and the shadow boundary;ffor overlay and shadow boundary pictures after morphological dilation,C 0 a set of pixels of the resulting overlay mask boundary is mapped for the model,NC 0 ) For the total number of pixels in the overlay mask boundary,C s a set of pixels of the resulting shadow boundary mapped for the model,NC s ) Is the total number of pixels in the shadow boundary。
Further: the change trend of the Tibetan Notoptera traditional aggregation building in the S3 comprises a building monomer change trend and an aggregation building group change trend;
the building monomers comprise civil house buildings with the geometric shapes of 'field', 'sun', temple and official village buildings with the geometric shapes of 'mouth', 'L', and pillbox buildings with the geometric shapes of 'four corners', 'regular pentagon', 'regular octagon';
the aggregate building group comprises a plurality of regular building monomers with different sizes.
Further: the indexes of the change trend of the reaction building monomer are building geometric information and building area;
wherein, for the civil house building with the geometric form of 'field', 'sun', the temple with the geometric form of 'mouth', 'L', and the official village building, the building single area comprises the ground area, the wall elevation area and the roof area of the building, the area calculation formula is:
wherein,S civil house, official village and temple For the total area of a single residential building with a geometry of 'field', 'day' and a temple or a official village building with a geometry of 'mouth', 'L' in a certain research period,S 1 is the ground area of the building;S 2 the area of the vertical face of the building wall is measured;S 3 for the measured building roof area;
for the pillbox building with the geometric form of four corners, regular pentagons and regular octagons, the building area comprises the ground area, the wall elevation area and the roof area of the building, wherein the ground area and the roof area are split into regular rectangles, regular pentagons and regular octagons for calculation, the wall elevation area is split into the regular rectangles for calculation, and the calculation formula is as follows:
wherein,for the area of individual pillbox buildings within a study period,S 1,3 regular pentagon Is the area of a regular pentagon divided into the ground area and the roof area,S 1,3 regular octagon Is the area of a regular octagon divided by the ground area and the roof area,ais a regular pentagon with a side length,bthe side length of the regular octagon;
the area change trend of the building monomer is quantified by using the building change rate, and the calculation formula of the building change rate is as follows:
wherein,Kfor a rate of change of the area of a single building aggregate over a study period,U a andU b the area of the building at the beginning and end of the study period respectively,Tfor the study period.
Further: the variation trend of the aggregation building group is reflected by the compact trend of the building group area, the geometric shape of the building group and the distribution rule;
the compact trend of the aggregate building group and the building group geometry are reflected by a shape index, the shape index being calculated by the formula:
wherein,C n is the first to gathernThe length of the boundary of each building unit,S n is the first to gathernThe planar area of the individual building elements,nfor the quantity of building monomers in a building group,representing the average shape of the traditional building group of Tibet Qiang at a certain periodA shape index;
the distribution rule of the aggregation building group is based on the length-width ratio of the aggregation building groupTTo react, the calculation formula of the length-width ratio is as follows:
wherein,AandBthe long side and the short side of the smallest external rectangle of the building group are respectively formed.
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Fig. 1 is a flow chart of a quantitative analysis method of the change trend of the Tibetan qiang traditional aggregation building.
FIG. 2 is a schematic illustration of height and width calculations for a building having a width greater than or equal to its height.
FIG. 3 is a schematic illustration of height and width calculations for a building having a width less than or equal to its height.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and all the inventions which make use of the inventive concept are protected by the spirit and scope of the present invention as defined and defined in the appended claims to those skilled in the art.
As shown in fig. 1, in one embodiment of the present invention, a quantitative analysis method for a change trend of a Tibetan qiang traditional aggregation building is provided, which includes the following steps:
s1, acquiring a high-resolution SAR image of a Tibetan-Qiang traditional aggregation building, and extracting the image of the Tibetan-Qiang traditional aggregation building by using an SAR image classification algorithm of an improved MRF model to obtain a building image;
s2, extracting geometric information of the building according to the building image to obtain accurate geometric information of the building;
s3, setting an observation time period, and obtaining accurate geometric information of the building in the traditional building with the built-in Notopterygium in the observation time period, so as to finish quantitative analysis of the change trend of the traditional building with the built-in Notopterygium.
In one embodiment of the invention, the step S1 comprises the following substeps:
s11, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building, and extracting the building by using an SAR image classification algorithm of an improved MRF model to obtain an initial building image;
s12, dividing a communication area with the same characteristics in the initial building image by using an area-based growth algorithm to obtain a separated building image;
s13, removing overlapping mask and shadow areas which do not belong to the building from the separated building image by adopting an object-oriented method based on shape characteristics, and obtaining the building image.
In one embodiment of the present invention, the step S11 includes the following substeps:
s111, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building;
s112, dividing the high-resolution SAR image into three region types and marking;
the three zone types include a building zone, a shadow zone, and a background zone;
s113, respectively describing three region types by using a fisher distribution, estimating distribution parameters of the three region types by using a parameter estimation method based on Mellin transformation, and establishing a SAR image statistical model according to step parameters to interpret the marked SAR image;
wherein, the formula of the probability distribution density function of Fisher distribution is:
wherein,P fisher a probability distribution density function representing a Fisher distribution,uas a result of the random variable,LandMas a function of the shape parameter(s),μin order to be a weight parameter,is a Gamma function;
s114, performing pixel-level classification on the interpreted SAR image by using an improved MRF model;
in this embodiment, for defining a SAR image in two dimensions, it is considered as a two-dimensional random field, and according to parameters of the SAR image statistical model, these parameters include the relationships between the categories of building and non-building pixels and the neighboring pixels;
each pixel is allocated to a building or non-building category, a label corresponding to each pixel point of the SAR image forms a marking field, the label field is estimated by using a maximum posterior probability estimation algorithm according to a given observation SAR image and a gray value parameter corresponding to the given observation SAR image at a two-dimensional grid, and the posterior probability reaches the maximum value to determine the most suitable category;
the formula of the maximum posterior probability estimation algorithm is as follows:
wherein,Yin order to mark the field of view,P(Y |X)at a given marking fieldYLower observation imageXConditional probability of (2). The purpose of image classification is to estimate the marker field given the observed image XYTo make posterior probabilityP(Y |X)Reaching a maximum value;
the improved MRF model is represented using a random distribution of Gibbs fields, the formula of which is:
wherein,Zfor the normalization constant(s),Uas a function of the energy,Uy|x) The energy term is the sum of the likelihood energy term and the prior energy term of the neighborhood system;for likelihood energy term +.>Priori energy terms for the neighborhood system;
the prior energy term potential function formula is:
Cfor a set of neighborhood system groups,βis a classification parameter representing the influence of a neighborhood group on a pixel label;sandtpixel points in the same group;dandx s -x t is a pixel pointsAndtthe distance between them and the gray level difference,a c as a weight coefficient, inversely proportional to the distance of pixels in the neighborhood group and the gray level difference;
s115, utilizing an object-oriented method based on shape characteristics, distinguishing a building from a non-building from the SAR image after pixel-level classification according to the rule that overlapping and masking areas and shadow areas of the building appear in pairs, and extracting pixels classified into the building to obtain an initial building image.
In one embodiment of the invention, the step S2 comprises the following substeps:
s21, directly measuring the overlay mask and the shadow in the SAR image of the building according to the three-dimensional information features of the building contained in the overlay mask and the shadow formed in the imaging of the SAR image of the building, and obtaining a geometric model of the building according to a measurement result;
s22, determining shadows and overlay positions of the buildings in the geometric model through geometric mapping relations;
s23, describing the characteristics of the landing building through a matching degree function;
the matching degree function obtains the matching condition of the overlay mask and shadow positions obtained by mapping the geometric information of the aggregation building and the overlay mask and shadow positions actually detected, and the geometric information extraction problem is converted into the optimization problem of the matching degree function;
s24, optimizing a matching degree function through a simulated genetic annealing algorithm, and obtaining accurate building length, width and height information as accurate geometric information of a building when the matching degree function is increased and reaches a stable value.
In one embodiment of the present invention, as shown in fig. 2, in S21, when the width of the building is greater than or equal to the height thereof, the shadow area, part of the roof scattering area and the overlap area of the building are all presented in the SAR image, thereby obtaining the height of the buildingHAnd width ofWThe formula of (2) is:
wherein,W shadow AndW fold and mask Respectively represent the width of the shadow area and the overlap area of the building,θrepresenting radar incidence angle during SAR flight.
As shown in fig. 3, in one embodiment of the present invention, in S21, when the width of the building is smaller than the height thereof, the building sequentially forms a covering area and a shadow area in the SAR image to obtain the height of the buildingHAnd width ofWThe formula of (2) is:
in one embodiment of the present invention, in S23, the formula of the matching degree function is:
wherein,Mis a geometric model of a building and is a model of the building,k 0 andk s matching weights of the overlay mask boundary and the shadow boundary respectively represent morphological expansion of the overlay mask boundary and the shadow boundary;ffor overlay and shadow boundary pictures after morphological dilation,C 0 a set of pixels of the resulting overlay mask boundary is mapped for the model,NC 0 ) For the total number of pixels in the overlay mask boundary,C s a set of pixels of the resulting shadow boundary mapped for the model,NC s ) Is the total number of pixels in the shadow boundary; the landing building features are described through the matching function, the landing building features are converted into a comparable feature vector form, the matching results of the feature matching points are integrated, and finally an evaluation value of the matching degree is obtained. The matching condition of the overlay mask and shadow positions obtained by mapping the model and the actually detected overlay mask and shadow positions is described by using the function, and the larger the value of the matching degree function is, the higher the matching degree of the model is, and the closer the model parameters are to the real parameters of the building. When the function takes a maximum value, it indicates that there is a building that matches the model.
In one embodiment of the present invention, the change trend of the conventional collection building of the Tibetan Notoptera in S3 includes a building monomer change trend and a collection building group change trend;
the building monomers comprise civil house buildings with the geometric shapes of 'field', 'sun', temple and official village buildings with the geometric shapes of 'mouth', 'L', and pillbox buildings with the geometric shapes of 'four corners', 'regular pentagon', 'regular octagon';
the aggregate building group comprises a plurality of regular building monomers with different sizes.
In one embodiment of the invention, the index of the change trend of the reactive building monomer is the building geometric information and the building area;
wherein, for the civil house building with the geometric form of 'field', 'sun', the temple with the geometric form of 'mouth', 'L', and the official village building, the building single area comprises the ground area, the wall elevation area and the roof area of the building, the area calculation formula is:
wherein,S civil house, official village and temple For a single geometric form in a certain study period "The general area of the temple or the official village building with the shape of a mouth and an L is formed by the geometry,S 1 is the ground area of the building;S 2 the area of the vertical face of the building wall is measured;S 3 for the measured building roof area;
for the pillbox building with the geometric form of four corners, regular pentagons and regular octagons, the building area comprises the ground area, the wall elevation area and the roof area of the building, wherein the ground area and the roof area are split into regular rectangles, regular pentagons and regular octagons for calculation, the wall elevation area is split into the regular rectangles for calculation, and the calculation formula is as follows:
wherein,for the area of individual pillbox buildings within a study period,S 1,3 regular pentagon Is the area of a regular pentagon divided into the ground area and the roof area,S 1,3 regular octagon Is the area of a regular octagon divided by the ground area and the roof area,ais a regular pentagon with a side length,bthe side length of the regular octagon;
the area change trend of the building monomer is quantified by using the building change rate, and the calculation formula of the building change rate is as follows:
wherein,Kfor a rate of change of the area of a single building aggregate over a study period,U a andU b the area of the building at the beginning and end of the study period respectively,Tfor the study period.
In one embodiment of the invention, the trend of the aggregate group is reflected by a group area compactness trend, group geometry and distribution law;
the compact trend of the aggregate building group and the building group geometry are reflected by a shape index, the shape index being calculated by the formula:
wherein,C n is the first to gathernThe length of the boundary of each building unit,S n is the first to gathernThe planar area of the individual building elements,nfor the quantity of building monomers in a building group,mean shape index of Tibet Notoptera traditional aggregation building group in a certain period of time, when +.>A smaller time means that the compactness between the landing buildings is smaller, and the shape of the building group area becomes more irregular or more complex; when->When the index is increased, the compactness among the building clusters is increased, and the shape of the building group area is more regular and is more similar to a rectangle;
the distribution rule of the aggregation building group is based on the length-width ratio of the aggregation building groupTTo react, the calculation formula of the length-width ratio is as follows:
wherein,AandBthe long side and the short side of the smallest external rectangle of the building group are respectively formed; when the T value is large, the long and narrow degree of the distribution of the building group area is increased, if the long and narrow distribution of the building group area extends along the contour line, the change of the height difference of the distribution is not large, and if the long and narrow distribution of the building group area is perpendicular to the contour line, the change of the height difference of the building distribution is obvious; when T is smaller, the traditional aggregation and group-building balanced layout features are more prominent and the geography is shownThe factor restriction is small.
In the description of the present invention, it should be understood that the terms "center," "thickness," "upper," "lower," "horizontal," "top," "bottom," "inner," "outer," "radial," and the like indicate or are based on the orientation or positional relationship shown in the drawings, merely to facilitate description of the present invention and to simplify the description, and do not indicate or imply that the devices or elements referred to must have a particular orientation, be configured and operated in a particular orientation, and thus should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be interpreted as indicating or implying a relative importance or number of technical features indicated. Thus, a feature defined as "first," "second," "third," or the like, may explicitly or implicitly include one or more such feature.

Claims (8)

1. The quantitative analysis method for the change trend of the Tibetan Qiang traditional aggregation building is characterized by comprising the following steps of:
s1, acquiring a high-resolution SAR image of a Tibetan-Qiang traditional aggregation building, and extracting the image of the Tibetan-Qiang traditional aggregation building by using an SAR image classification algorithm of an improved MRF model to obtain a building image;
the step S1 comprises the following sub-steps:
s11, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building, and extracting the building by using an SAR image classification algorithm of an improved MRF model to obtain an initial building image;
the step S11 comprises the following sub-steps:
s111, acquiring a high-resolution SAR image of a Tibetan Notopterygium traditional aggregation building;
s112, dividing the high-resolution SAR image into three region types and marking;
the three zone types include a building zone, a shadow zone, and a background zone;
s113, respectively describing three region types by using a fisher distribution, estimating distribution parameters of the three region types by using a parameter estimation method based on Mellin transformation, and establishing a SAR image statistical model according to step parameters to interpret the marked SAR image;
s114, performing pixel-level classification on the interpreted SAR image by using an improved MRF model;
the improved MRF model uses random distribution of Gibbs fieldsExpressed by the formula:
wherein,Z for the normalization constant(s),Uas a function of the energy,Uy|x) The energy term is the sum of the likelihood energy term and the prior energy term of the neighborhood system;for likelihood energy term +.>Priori energy terms for the neighborhood system;
the prior energy term potential function formula is:
wherein,Cfor a set of neighborhood system groups,βis a classification parameter representing the influence of a neighborhood group on a pixel label; sandtpixel points in the same group;dandx s -x t is a pixel pointsAndtthe distance between them and the gray level difference,a c distance and gray scale difference between the weight coefficient and the pixel in the neighborhood groupInversely proportional;
s115, distinguishing a building from a non-building from the SAR image after pixel-level classification by utilizing an object-oriented method based on shape characteristics and according to the rule that overlapping and masking areas and shadow areas of the building appear in pairs, extracting pixels classified into the building, and acquiring an initial building image;
s12, dividing a communication area with the same characteristics in the initial building image by using an area-based growth algorithm to obtain a separated building image;
s13, removing overlapping mask and shadow areas which do not belong to the building from the separated building image by adopting an object-oriented method based on shape characteristics, so as to obtain the building image;
s2, extracting geometric information of the building according to the building image to obtain accurate geometric information of the building;
s3, setting an observation time period, and obtaining accurate geometric information of the building in the traditional building with the built-in Notopterygium in the observation time period, so as to finish quantitative analysis of the change trend of the traditional building with the built-in Notopterygium.
2. The quantitative analysis method of the Tibetan qiang traditional aggregation building change trend according to claim 1, wherein the step S2 comprises the following sub-steps:
s21, directly measuring the overlay mask and the shadow in the SAR image of the building according to the three-dimensional information features of the building contained in the overlay mask and the shadow formed in the imaging of the SAR image of the building, and obtaining a geometric model of the building according to a measurement result;
s22, determining shadows and overlay positions of the buildings in the geometric model through geometric mapping relations;
s23, describing the characteristics of the landing building through a matching degree function;
s24, optimizing a matching degree function through a simulated genetic annealing algorithm, and obtaining accurate building length, width and height information as accurate geometric information of a building when the matching degree function is increased and reaches a stable value.
3. The quantitative analysis method for the change trend of the Tibetan notopterygium traditional aggregation building according to claim 2, wherein in the step S21, when the width of the building is greater than or equal to the height of the building, a shadow area, a part of a roof scattering area and a cover overlapping area of the building are all presented in an SAR image to obtain the height of the buildingHAnd width ofWThe formula of (2) is:
wherein,W shadow AndW fold and mask Respectively represent the width of the shadow area and the overlap area of the building,θrepresenting radar incidence angle during SAR flight.
4. The quantitative analysis method of the Tibetan Qiang traditional aggregation building variation trend according to claim 3, wherein in S21, when the width of the building is smaller than the height thereof, the building sequentially forms a covering area and a shadow area in the SAR image to obtain the height of the buildingHAnd width ofWThe formula of (2) is:
5. the quantitative analysis method of the Tibetan qiang traditional aggregation building change trend according to claim 2, wherein in S23, the formula of the matching degree function is:
wherein,Mis a geometric model of a building and is a model of the building,k 0 andk s matching weights of the overlay mask boundary and the shadow boundary respectively represent morphological expansion of the overlay mask boundary and the shadow boundary;ffor overlay and shadow boundary pictures after morphological dilation,C 0 mapping for the modelThe resulting set of pixels of the overlay mask boundary,NC 0 ) For the total number of pixels in the overlay mask boundary,C s a set of pixels of the resulting shadow boundary mapped for the model,NC s ) Is the total number of pixels in the shadow boundary.
6. The quantitative analysis method of the change trend of the Tibetan qiang traditional aggregation building according to claim 1, wherein the change trend of the Tibetan qiang traditional aggregation building in S3 comprises a building monomer change trend and an aggregation building group change trend;
the building monomers comprise civil house buildings with the geometric shapes of 'field', 'sun', temple and official village buildings with the geometric shapes of 'mouth', 'L', and pillbox buildings with the geometric shapes of 'four corners', 'regular pentagon', 'regular octagon';
the aggregate building group comprises a plurality of regular building monomers with different sizes.
7. The quantitative analysis method of the change trend of the Tibetan Qiang traditional colony building according to claim 6, wherein the indexes of the change trend of the reaction building monomers are building geometric information and building area;
wherein, for the civil house building with the geometric form of 'field', 'sun', the temple with the geometric form of 'mouth', 'L', and the official village building, the building single area comprises the ground area, the wall elevation area and the roof area of the building, the area calculation formula is:
wherein,S civil house, official village and temple For the total area of a single residential building with a geometry of 'field', 'day' and a temple or a official village building with a geometry of 'mouth', 'L' in a certain research period,S 1 is the ground area of the building;S 2 the area of the vertical face of the building wall is measured;S 3 for the measured building roof area;
for the pillbox building with the geometric form of four corners, regular pentagons and regular octagons, the building area comprises the ground area, the wall elevation area and the roof area of the building, wherein the ground area and the roof area are split into regular rectangles, regular pentagons and regular octagons for calculation, the wall elevation area is split into the regular rectangles for calculation, and the calculation formula is as follows:
wherein,for the area of individual pillbox buildings within a study period,S 1,3 regular pentagon Is the area of a regular pentagon divided into the ground area and the roof area,S 1,3 regular octagon Is the area of a regular octagon divided by the ground area and the roof area,ais a regular pentagon with a side length,bthe side length of the regular octagon;
the area change trend of the building monomer is quantified by using the building change rate, and the calculation formula of the building change rate is as follows:
wherein,Kfor a rate of change of the area of a single building aggregate over a study period,U a andU b the area of the building at the beginning and end of the study period respectively,Tfor the study period.
8. The quantitative analysis method of the Tibetan qiang traditional aggregation building variation trend according to claim 6, wherein the aggregation building group variation trend is reflected by a building group area compactness trend, a building group geometry and a distribution rule;
the compact trend of the aggregate building group and the building group geometry are reflected by a shape index, the shape index being calculated by the formula:
wherein,C n is the first to gathernThe length of the boundary of each building unit,is the first to gathernThe planar area of the individual building elements,nfor the number of building monomers in the building group, < +.>Representing the average shape index of the Tibetan Notopterygium traditional aggregation building group in a certain period;
the distribution rule of the aggregation building group is based on the length-width ratio of the aggregation building groupTTo react, the calculation formula of the length-width ratio is as follows:
wherein,AandBthe long side and the short side of the smallest external rectangle of the building group are respectively formed.
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