CN101119485A - A Progressive Transmission Method of 3D Model Based on Feature Preservation - Google Patents
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Abstract
一种基于特征保留的三维模型递进传输方法,在原有三维模型简化算法的基础上进行了特征保留的改进,在简化几何模型的同时保持了模型的拓扑性质和属性特征,得到了数据量较小的基网格;并在此基础上实施了基于八叉树划分的压缩编码,构造出递进网格文件。在传输时,首先利用八叉树广度优先遍历解码基网格,之后采用递进网格传输方式,传输一系列细节恢复信息,连续提升模型精度,恢复原始模型,从而解决了传统传输方法响应时间长的问题。此外对三维场景设计了面向对象的视点相关传输策略,加速了场景的实时绘制,并将对象可见性判断放在客户端进行,降低了服务器负载。
A progressive transmission method for 3D models based on feature preservation, which improves the feature preservation on the basis of the original 3D model simplification algorithm. While simplifying the geometric model, it maintains the topological properties and attribute characteristics of the model, and obtains a relatively large amount of data. A small base grid; and on this basis, the compression coding based on octree division is implemented to construct a progressive grid file. When transmitting, first use the breadth of the octree to first traverse the decoding base grid, and then use the progressive grid transmission method to transmit a series of detail recovery information, continuously improve the model accuracy, and restore the original model, thus solving the problem of response time of traditional transmission methods long question. In addition, an object-oriented viewpoint-related transmission strategy is designed for the 3D scene, which accelerates the real-time rendering of the scene, and puts the object visibility judgment on the client to reduce the server load.
Description
技术领域technical field
本发明涉及到三维模型简化、几何压缩编码以及递进传输等方面的技术领域,特别是一种保留特征的三维模型递进传输方法,可应用于多种具有复杂纹理和结构特征的三维模型处理和网络发布。此外,也应用于数字博物馆中珍贵文物的网络发布。The present invention relates to the technical field of 3D model simplification, geometric compression coding, and progressive transmission, especially a feature-preserving 3D model progressive transmission method, which can be applied to the processing of various 3D models with complex texture and structural features and web publishing. In addition, it is also applied to the network publishing of precious cultural relics in digital museums.
背景技术Background technique
在计算机图形学中,一般使用三角形网格描述复杂的三维形体。随着三维数据捕获技术的不断进步,网格的数据量会非常庞大,这给三维模型的存储、传输和绘制都带来许多困难。数字博物馆中包含了大量的三维模型需要在网上展示,最基本的如单个模型展品的传输,复杂的如大型场景的实时漫游,都需要解决网络传输的瓶颈限制。In computer graphics, triangular meshes are generally used to describe complex three-dimensional shapes. With the continuous improvement of 3D data capture technology, the amount of grid data will be very large, which brings many difficulties to the storage, transmission and rendering of 3D models. The digital museum contains a large number of 3D models that need to be displayed online. The most basic ones, such as the transmission of a single model exhibit, and the complex ones, such as real-time roaming of large scenes, all need to solve the bottleneck limitation of network transmission.
传统的单分辨率模型的网络传输采取先下载后显示(Download-and-Display)模式,即将三维模型的所有相关数据都下载到客户端之后再显示。这种方式的不足之处在于用户等待时间太长。对此的改进是由Hoppe提出的递进网格方法(参见Hoppe H.Progressive Meshes.ACMComputer Graphics,1996,30(1):99-108),即首先采用顶点删除(参见SchroederW.Decimation of Triangle Meshes.Computer Graphics,1992,26(2):65-70)、二次误差(参见Garland M.Surface Simplification usingQuadric Error Metrics.Computer Graphics,1997,31(3):209-216)等模型简化算法来得到多分辨率模型,并在简化过程中记录每一步操作,从而将原始网格模型分解成一个粗糙的基网格和一系列可对基网格进行逆向恢复的细节优化信息;在传输过程中,首先传送基网格到客户端并显示,然后再逐渐的传输细节优化信息,对最初的粗糙模型进行细化;这样一种无损的模型重构和编码方法,能够在很短的时间内给用户响应,并且可以随时停止传输,这是一种边下载边显示(Download-while-Display)模式的递进传输方法。The traditional network transmission of a single-resolution model adopts the Download-and-Display mode, that is, all relevant data of the 3D model is downloaded to the client and then displayed. The disadvantage of this method is that the user wait time is too long. The improvement of this is the progressive grid method proposed by Hoppe (see Hoppe H. Progressive Meshes. ACM Computer Graphics, 1996, 30 (1): 99-108), that is, firstly use vertex deletion (see SchroederW. Decimation of Triangle Meshes .Computer Graphics, 1992, 26(2): 65-70), quadratic error (see Garland M.Surface Simplification using Quadric Error Metrics.Computer Graphics, 1997, 31(3): 209-216) and other model simplification algorithms to get Multi-resolution model, and record each step of operation during the simplification process, so as to decompose the original mesh model into a rough base mesh and a series of detail optimization information that can reverse restore the base mesh; during the transmission process, First transmit the base grid to the client and display it, and then gradually transmit the detailed optimization information to refine the initial rough model; such a lossless model reconstruction and encoding method can give users a very short time Response, and the transmission can be stopped at any time, which is a progressive transmission method in the Download-while-Display mode.
对于递进网格方法,之后也有了很多方法进行改进,然而,这些方法大多是针对比较规整、不含属性的几何模型来进行处理的,并不涉及纹理等属性信息,而且不支持三维场景。在实际应用领域,无论是单个模型还是三维场景,不仅含有几何、拓扑信息,而且常常包含颜色、纹理等属性,并且不可避免地存在边界和孔洞,因而需要采用合适的方法,在简化的同时保留这些特征信息。此外,许多方法都是仅仅利用模型简化来得到递进网格文件,并没有再对模型数据进行进一步的压缩,如果能将递进网格和压缩编码结合起来,重新构造模型文件,将更有利于减小模型数据量,提高模型传输浏览的实时响应。For the progressive grid method, there have been many methods to improve it. However, most of these methods are for relatively regular geometric models without attributes, which do not involve attribute information such as texture, and do not support 3D scenes. In the field of practical application, whether it is a single model or a 3D scene, it not only contains geometric and topological information, but also often includes attributes such as color and texture, and there are inevitably boundaries and holes. Therefore, it is necessary to adopt a suitable method to simplify while retaining these characteristic information. In addition, many methods only use model simplification to obtain progressive grid files, and do not further compress the model data. If the progressive grid and compression coding can be combined to reconstruct the model file, it will be more It is beneficial to reduce the amount of model data and improve the real-time response of model transmission and browsing.
发明内容Contents of the invention
本发明的技术解决问题:克服现有技术的不足,提供一种基于特征保留的三维模型递进传输方法,该方法基于特征保留,即在处理过程中保持原始模型拓扑性质及纹理或颜色属性特征,且对模型真实感保持性高,对网络带宽和客户端机器性能要求低,并支持三维场景的递进传输。The technical problem of the present invention is to overcome the deficiencies of the existing technology, and provide a progressive transmission method of 3D models based on feature retention, which is based on feature retention, that is, to maintain the topological properties and texture or color attribute characteristics of the original model during processing , and maintain high model realism, low requirements on network bandwidth and client machine performance, and support progressive transmission of 3D scenes.
本发明的技术解决方案:一种基于特征保留的三维模型递进传输方法,其特征在于包括下列步骤:The technical solution of the present invention: a method for progressive transmission of a three-dimensional model based on feature retention, characterized in that it comprises the following steps:
(1)对原始网格模型进行保留特征的简化,形成粗糙基网格;(1) Simplify the original grid model with retained features to form a rough base grid;
(2)对基网格实施八叉树压缩编码,形成递进网格文件;(2) Implement octree compression coding on the base grid to form a progressive grid file;
(3)采用Browser/Server结构下八叉树解码-递进网格传输的递进传输模式;(3) Adopt the progressive transmission mode of octree decoding-progressive grid transmission under the Browser/Server structure;
(4)在上述步骤的基础上采用面向对象的视点相关传输策略传输三维场景。(4) On the basis of the above steps, an object-oriented viewpoint-dependent transmission strategy is used to transmit the 3D scene.
在简化中采用了保留拓扑边界及纹理或颜色属性的三角形折叠方法,主要操作步骤为:In the simplification, the triangle folding method that preserves the topological boundaries and texture or color attributes is adopted. The main operation steps are:
(1)对原始三角形网格进行分类:边界三角形、角点三角形、内部三角形、特征三角形;(1) Classify the original triangular mesh: boundary triangles, corner triangles, internal triangles, and feature triangles;
(2)根据三角形的分类,采用不同的误差度量方法:(2) According to the classification of triangles, different error measurement methods are adopted:
a.对于内部三角形,为每个三角形Ti配备一个4×4的误差矩阵Qi,并假设其折叠后的新点为vi,定义三角形的折叠误差为
b.对于角点三角形,限定其折叠后的新点vi为原边界上的一个顶点,采用与步骤a相同的方法计算折叠误差;b. For the corner triangle, limit its folded new point v i to be a vertex on the original boundary, and use the same method as step a to calculate the folding error;
c.对于边界三角形和特征三角形,置其折叠误差为最大值。c. For boundary triangles and feature triangles, set the folding error to the maximum value.
(3)得到所有三角形的折叠误差之后选择误差最小的三角形执行折叠操作。(3) After obtaining the folding errors of all triangles, select the triangle with the smallest error to perform the folding operation.
所述步骤(3)中在传输的过程中采用几何压缩解码和递进网格结合的方式,步骤为:In the described step (3), the method of geometric compression decoding and progressive grid combination is adopted in the process of transmission, and the steps are:
(1)在传输起始阶段,采用八叉树广度优先遍历的解码方式,直至基网格数据传输完毕;(1) At the initial stage of transmission, the decoding method of octree breadth-first traversal is adopted until the base grid data transmission is completed;
(2)采用递进网格传输方式保持较高相似度下模型精度的连续提升。(2) The progressive grid transmission method is used to maintain the continuous improvement of model accuracy under high similarity.
所述步骤(4)中对于三维场景采用面向对象的视点相关传输策略的步骤为:The step of adopting the object-oriented viewpoint-related transmission strategy for the three-dimensional scene in the described step (4) is:
(1)为场景中每个对象构建一个单独的数据流,对每个数据流都采用前述八叉树解码-递进网格传输的递进传输模式;(1) Construct a separate data stream for each object in the scene, and adopt the aforementioned progressive transmission mode of octree decoding-progressive grid transmission for each data stream;
(2)在客户端设置下载、分析、绘图线程,进行同步控制,保证对象的并行传输;(2) Set download, analysis, and drawing threads on the client side, and perform synchronous control to ensure parallel transmission of objects;
(3)在客户端计算视点信息,并根据视锥可见性判断当前需要传输的对象;(3) Calculate the viewpoint information on the client side, and judge the current object to be transmitted according to the visibility of the cone;
(4)服务器接收客户端传送的所需对象标志,发送相应的优化信息。(4) The server receives the desired object identifier sent by the client, and sends corresponding optimization information.
本发明与现有的发布方法相比具有以下优点:Compared with the existing publishing method, the present invention has the following advantages:
(1)保留了原始模型拓扑性质及纹理/颜色属性(1) The topological properties and texture/color properties of the original model are preserved
传统的方法大多是针对比较规整、不含属性的几何模型来进行处理的;而在实际应用领域,三维数据不仅含有几何、拓扑信息,而且常常包含颜色、纹理等属性,并且不可避免地存在边界和孔洞,这些信息对于保持模型的外观和真实感具有重要作用,必须在简化过程中加以保留。Most of the traditional methods deal with relatively regular geometric models without attributes; in practical applications, 3D data not only contains geometric and topological information, but also often includes attributes such as color and texture, and there are inevitably boundaries and holes, this information is important to maintain the look and feel of the model and must be preserved during the simplification process.
本发明基于三角形折叠的方法,给出了一种结合属性的非封闭网格模型简化方法,不仅有效地控制了简化网格与原始网格之间的几何误差,而且较好地保留了三维模型的拓扑边界以及颜色、纹理、法矢量等属性,与传统方法相比,具有更大的适用范围和实用性。Based on the triangle folding method, the present invention provides a non-closed mesh model simplification method combined with attributes, which not only effectively controls the geometric error between the simplified mesh and the original mesh, but also better preserves the three-dimensional model Compared with traditional methods, the topological boundaries and attributes such as color, texture, and normal vector have a greater scope of application and practicability.
此外,本发明的模型简化算法可以根据用户对几何/属性不同比重的保留需要指定模型简化的精确程度,对于一个几十万甚至上百万多边形的初始模型而言,当它简化99%之后,仍然可以保持较高的几何相似度和边界拓扑结构以及属性特征。In addition, the model simplification algorithm of the present invention can specify the accuracy of model simplification according to the user's need to retain different proportions of geometry/attributes. For an initial model of hundreds of thousands or even millions of polygons, when it simplifies 99% After that, the high geometric similarity and boundary topology and attribute features can still be maintained.
(2)对网络带宽和客户端机器性能要求灵活(2) Flexible requirements for network bandwidth and client machine performance
传统的“先下载后显示”的三维传输模式,需要将三维模型的所有相关数据都下载到客户端之后再显示。因此它对网络带宽的要求很高,对于规模超过百万多边形的三维模型而言,这种模式根本无法应用;另外,不同客户端机器的图形处理性能不同,同一个模型,对于一些用户来说可能已经很难处理,但另一些用户可能还需要更高精度的效果。The traditional 3D transmission mode of "download first and then display" needs to download all relevant data of the 3D model to the client before displaying it. Therefore, it has high requirements for network bandwidth. For 3D models with a scale of more than one million polygons, this mode cannot be applied at all; in addition, the graphics processing performance of different client machines is different. The same model, for some users It may already be difficult to deal with, but other users may also need more high-precision effects.
近些年提出的远程渲染系统是一种Client/Server结构,客户端负责接受用户的输入并向服务器发送相应的渲染请求,高图形性能的服务器负责渲染并把得到的图像回传给发送请求的客户端进行显示,这样的系统虽然解决了客户端机器图形性能不足的问题,但由于将所有渲染工作全部放在服务器,所以限制了最多支持的用户数目。The remote rendering system proposed in recent years is a Client/Server structure. The client is responsible for accepting user input and sending a corresponding rendering request to the server. The server with high graphics performance is responsible for rendering and returning the obtained image to the server that sent the request. Although such a system solves the problem of insufficient graphics performance of the client machine, it limits the maximum number of supported users because all rendering work is placed on the server.
本发明所采用的是基于Browser/Server结构的递进传输模式,只需要将一个数据量很小的粗糙的基网格传输到客户端,客户端收到基网格数据后立即可以显示,然后服务器持续发送对基网格的优化信息,客户端的显示效果也逐渐精细,直至传输完毕或达到用户对模型精细度的要求为止。这样,用户可以根据自己的需要和机器的性能选择相应精度的模型进行查看,并且可以随时中止或继续传输;由于将渲染任务分担给了每个客户端,因而可以最大限度的支持更多的用户。The present invention adopts a progressive transmission mode based on the Browser/Server structure. It only needs to transmit a rough base grid with a small amount of data to the client, and the client can display the base grid data immediately after receiving the base grid data, and then The server continues to send optimization information for the base grid, and the display effect of the client is gradually refined until the transmission is completed or the user's requirements for the fineness of the model are met. In this way, users can choose models of corresponding precision to view according to their own needs and machine performance, and can stop or continue transmission at any time; since the rendering task is distributed to each client, it can support more users to the maximum extent .
(3)响应时间短、精细程度高(3) Short response time and high precision
“先下载后显示”方法的最大问题在于响应时间过长,需要等待整个模型下载完毕之后才能开始显示。The biggest problem with the "download before display" approach is the long response time, requiring the entire model to download before it can start displaying.
递进网格传输作为一种细粒度的模型多分辨率划分方案,在得到基网格数据后,它可以马上开始对粗糙模型的渲染和细化过程,并且可以提供较其他方法更高精确度的模型;但其不足在于与非递进方法相比,需要消耗很长的时间来恢复出完整的最高分辨率模型;另外,传统的递进传输方法虽然在整体过程上是“边下载边显示”,但在开始阶段仍需等待基网格数据下载完毕之后才可以显示和递进更新,而对于精度较高且包含纹理/颜色等属性的三维模型,仅仅采用简化的办法处理后,其基网格数据量仍然较大,例如多边形面片数为1000000的三维模型简化99%之后的基网格文件大小仍有3MB之多,在带宽低的情况下,它所需要的下载时间也是不可容忍的。As a fine-grained model multi-resolution division scheme, progressive grid transfer can immediately start the rendering and refinement process of the rough model after obtaining the base grid data, and can provide higher accuracy than other methods model; but its disadvantage is that compared with the non-progressive method, it takes a long time to recover the complete highest resolution model; in addition, although the traditional progressive transmission method is "display while downloading" in the overall process ", but at the beginning stage, it is still necessary to wait for the basic grid data to be downloaded before displaying and progressively updating. For 3D models with high precision and attributes such as texture/color, the basic The amount of grid data is still large. For example, the size of the base grid file after 99% simplification of a 3D model with 1,000,000 polygons is still as much as 3MB. In the case of low bandwidth, the download time it requires is also intolerable of.
基于树型结构的几何递进压缩是一种粗粒度的模型多分辨率划分方案,它可以从“零”开始显示模型,并随着恢复信息的传输和解码,成批更新模型的几何数据,从而最大限度的降低响应时间;由于分批有效地压缩,生成的模型文件数据量较小且传输总时间比递进网格方法缩短许多;但其不足是模型分辨率的提升不连续,存在跳变,且恢复过程中模型的精确度相对递进网格方法要低。The geometric progressive compression based on the tree structure is a coarse-grained model multi-resolution partitioning scheme, which can display the model from "zero", and update the geometric data of the model in batches as the recovery information is transmitted and decoded. Therefore, the response time is minimized; due to the effective compression in batches, the data volume of the generated model file is small and the total transmission time is much shorter than that of the progressive grid method; but its disadvantage is that the improvement of the model resolution is not continuous, and there are jumps change, and the accuracy of the model in the recovery process is lower than that of the progressive grid method.
而本发明结合递进网格和几何压缩二者的优点,在网格简化的基础上对其基网格又进行了进一步的压缩编码,并采用八叉树广度优先遍历解码和递进网格传输相结合的恢复方案,在对响应时间要求高而对模型精确度要求不高的传输起始阶段,采用压缩解码传输方式,直至基网格数据传输完毕;之后采用递进网格传输方式,保持较高且连续的模型分辨率提升,以便用户随时中止,这样,就进一步缩短了响应时间。However, the present invention combines the advantages of both progressive grid and geometric compression, further compresses and encodes its base grid on the basis of grid simplification, and adopts octree breadth-first traversal decoding and progressive grid The recovery scheme combining transmission adopts the compression decoding transmission method at the initial stage of transmission when the response time is high but the model accuracy is not high, until the basic grid data transmission is completed; after that, the progressive grid transmission method is adopted, Response times are further improved by maintaining a high and continuous model resolution increase so that the user can abort at any time.
(4)支持三维场景(4) Support 3D scene
三维模型包括对象模型和三维场景,三维场景是由不同的对象组成的,其中每个对象都是一个独立的形体或结构。传统的方法大多只针对对象模型进行处理,而不考虑三维场景。A 3D model includes an object model and a 3D scene. A 3D scene is composed of different objects, each of which is an independent shape or structure. Most of the traditional methods only deal with the object model, without considering the 3D scene.
而本发明将场景模型看作是若干对象模型的组合体,而对其中的每个对象进行拓扑边界完全保留的网格简化,从而达到对整个模型化简的目的。在传输恢复阶段,使用多数据流,将每个对象构成一个单独的数据流,并采用视点相关的传输策略,通过控制当前可见对象的传输,并保证所有对象处于统一的世界坐标系内,就可以恢复出完整的原始模型。However, the present invention regards the scene model as a combination of several object models, and performs grid simplification with fully preserved topological boundaries for each object, so as to achieve the purpose of simplifying the entire model. In the transmission recovery phase, multiple data streams are used to form each object into a separate data stream, and a viewpoint-related transmission strategy is adopted to control the transmission of currently visible objects and ensure that all objects are in a unified world coordinate system. The complete original model can be restored.
附图说明Description of drawings
图1为本发明的系统实现流程;Fig. 1 is the system implementation process of the present invention;
图2为本发明对三维模型进行保留特征简化的实验结果;Fig. 2 is the experimental result that the present invention carries out retaining feature simplification to three-dimensional model;
图3为本发明的三维场景的视点相关传输框架;Fig. 3 is the viewpoint-related transmission framework of the three-dimensional scene of the present invention;
图4为本发明对日月观音模型的进行递进传输的过程;Fig. 4 is the process of progressive transmission of the Sun Moon Avalokitesvara model in the present invention;
图5为本发明对包含25个兵马俑的三维场景进行视点相关解码传输的过程。FIG. 5 is a process of view-related decoding and transmission of a three-dimensional scene containing 25 terracotta warriors and horses according to the present invention.
具体实施方式Detailed ways
本发明包括模型简化、压缩编码、递进传输三个方面的内容,实现流程如图1所示。The present invention includes three aspects: model simplification, compression coding, and progressive transmission, and the realization process is shown in FIG. 1 .
1.三维模型简化1. Simplification of 3D model
本发明采用基于二次误差的三角形折叠算法对三维模型进行简化,并在简化的同时保留模型的拓扑边界及属性特征。算法的基本操作是三角形折叠收缩,即通过对三角形Ti执行折叠操作,使它的三个顶点合并为一个顶点vi,从而简化了原来的网格。The invention adopts the triangle folding algorithm based on the secondary error to simplify the three-dimensional model, and preserves the topological boundary and attribute characteristics of the model while simplifying. The basic operation of the algorithm is triangle folding and shrinking, that is, by performing folding operation on triangle T i , its three vertices are merged into one vertex v i , thus simplifying the original mesh.
算法首先将原始网格中所有三角形进行分类,划分原则如下:The algorithm first classifies all triangles in the original mesh, and the division principles are as follows:
对于网格模型中的每一个三角形,如果它的某一条边只被一个三角形(即该三角形)所拥有,则该边为边界边,该三角形为边界三角形;对于非边界三角形,如果至少有一个顶点在边界边上,则该顶点为边界点,该三角形为角点三角形;如果三个顶点都不在边界边上,则该三角形为内部三角形。For each triangle in the mesh model, if one of its edges is only owned by one triangle (that is, the triangle), then the edge is a boundary edge, and the triangle is a boundary triangle; for non-boundary triangles, if there is at least one If the vertex is on the boundary edge, then the vertex is the boundary point, and the triangle is a corner triangle; if none of the three vertices is on the boundary edge, the triangle is an interior triangle.
对于包含颜色属性的模型,使用每个三角形三个顶点颜色值的平均值作为该三角形的等价颜色值,如果当前三角形与其周围邻接三角形颜色值的差超过预先指定的阈值τ,即For models containing color attributes, the average value of the color values of the three vertices of each triangle is used as the equivalent color value of the triangle, if the difference between the color values of the current triangle and its surrounding triangles exceeds the pre-specified threshold τ, that is
则标记该三角形为特征三角形,其中[rigibi]T、[rpgpbp]T分别为三角形Ti、Tp的颜色值,而阈值τ则可以根据用户对几何及属性特征保留程度的不同要求来选取,对属性细节要求越高,则τ值越小,反之则越大。Then mark the triangle as a characteristic triangle, where [r i g i b i ] T , [r p g p b p ] T are the color values of triangle T i and T p respectively, and the threshold τ can be determined according to the user's geometry and It is selected according to different requirements for the retention of attribute features. The higher the requirement for attribute details, the smaller the value of τ, and vice versa.
此外,对于纹理,也采取类似的办法进行处理;不同之处只是需要通过纹理坐标从纹理图像中获取相应顶点的颜色信息,再来计算该三角形的纹理等价颜色值。In addition, for textures, a similar method is also adopted for processing; the difference is that the color information of the corresponding vertices needs to be obtained from the texture image through the texture coordinates, and then the texture equivalent color value of the triangle is calculated.
之后,计算每个三角形的几何折叠误差:Afterwards, compute the geometric folding error for each triangle:
(1)对于原始网格中的每个内部三角形Ti,配备一个误差矩阵Qi,如果三角形Ti折叠为点vi=[xi yi zi1]T,则定义该三角形的折叠误差为新点到原三角形的所有邻接三角形平面的距离平方之和:(1) For each internal triangle T i in the original grid, equip an error matrix Q i , if the triangle T i is folded into a point v i =[xi y i z i 1] T , then define the fold of the triangle The error is the sum of the squares of the distances from the new point to all adjacent triangle planes of the original triangle:
这里p=[a b c d]T表示与三角形Ti邻接的三角形集合中每个三角形所在平面的平面方程ax+by+cz+d=0(其中a2+b2+c2=1)。于是上式给出的误差标准可以转换为下面的二次形式:Here p=[a b c d] T represents the plane equation ax+by+cz+d=0 of the plane of each triangle in the triangle set adjacent to triangle T i (where a 2 +b 2 +c 2 =1). Then the error standard given by the above formula can be converted into the following quadratic form:
其中Mp是4×4的对称矩阵,能够表示三角形网格中任一点到平面的二次距离:Where M p is a 4×4 symmetric matrix, which can represent the quadratic distance from any point in the triangular mesh to the plane:
而误差矩阵Qi为所有邻接三角形的平面二次矩阵相加
(2)对于每个角点三角形,限定其折叠后的新点vi为原边界上的一个顶点,并通过
(3)对于边界三角形和特征三角形,置其折叠误差为最大值。(3) For boundary triangles and characteristic triangles, set the folding error to the maximum value.
在得到每个三角形的折叠误差之后,按最终的误差从小到大排列三角形,从三角形序列中选取折叠误差最小的三角形执行折叠操作,这样,就在保持几何相似度的前提下保证了边界三角形和特征三角形不参与折叠,从而保留了模型的边界和属性细节。After the folding error of each triangle is obtained, the triangles are arranged according to the final error from small to large, and the triangle with the smallest folding error is selected from the triangle sequence to perform the folding operation. In this way, the boundary triangles and Feature triangles do not participate in the folding, thus preserving the boundary and attribute details of the model.
利用上述简化方法,将模型简化70%之后仍与原始模型非常接近,当简化90%以上时,所得的结果除了在几何相似性上可以接受外,仍可较好地保留原始模型的边界、轮廓及属性特征,如图2所示。Using the above simplification method, the model is still very close to the original model after simplification of 70%. When the simplification is more than 90%, the obtained result can not only accept the geometric similarity, but also better retain the boundary and outline of the original model. and attributes, as shown in Figure 2.
在模型简化的同时,把参与折叠消失的三角形的顶点坐标以及其相关三角形的信息记录下来,以构造递进网格文件,从而支持有效地增量传输。对于包含属性的模型,可以对顶点坐标表达进行扩展,将顶点信息表示为vi(xi,yi,zi,),其中xi,yi,zi为顶点坐标,为顶点对应的标量属性(例如对于颜色属性来说,
2.基网格压缩编码2. Base grid compression coding
本发明对简化后的基网格进行基于八叉树划分的压缩编码,对顶点的几何坐标用12bit来进行量化,主要分三个步骤:The present invention carries out compression coding based on octree division to the simplified base grid, quantifies the geometric coordinates of vertices with 12 bits, and mainly divides into three steps:
(1)对几何模型的顶点进行八叉树的多分辨率层次化组织,直到最精细化的树节点能够表达量化的精度:首先,通过对模型设置一个最小包围盒,并按照八叉树的划分方法进行递归细分,其中每个树节点记录其子树所含顶点的个数,对于不含顶点的树节点将不再继续子分,而包含顶点的树节点将被迭代子分,直到节点为空或只含一个顶点且达到最大精度层为止;因此生成的八叉树中叶节点中心隐含表示其所包含顶点的空间位置。(1) Perform multi-resolution hierarchical organization of octrees on the vertices of the geometric model until the most refined tree nodes can express the quantization accuracy: first, by setting a minimum bounding box for the model, and according to the octree The division method performs recursive subdivision, in which each tree node records the number of vertices contained in its subtree, and the tree nodes without vertices will no longer be subdivided, while the tree nodes containing vertices will be iteratively subdivided until The node is empty or contains only one vertex and reaches the maximum precision level; therefore, the center of the leaf node in the generated octree implicitly represents the spatial position of the vertex it contains.
(2)由粗到细以广度优先的方式遍历八叉树的各个节点,并输出描述顶点位置情况的数据流:根据节点中所含顶点的个数,对于每个非空节点,用1bit标识其是否是一个单节点;对于一个单节点,用3bits来标识该单节点中的哪个子节点包含唯一顶点;而对于非空非单节点,则产生一个8bits的标识,表示该节点的子节点是否非空;如此循环,直至访问到最精细层的节点停止。(2) Traverse each node of the octree in a breadth-first manner from coarse to fine, and output the data stream describing the position of the vertex: according to the number of vertices contained in the node, for each non-empty node, use 1bit to identify Whether it is a single node; for a single node, use 3bits to identify which child node in the single node contains a unique vertex; and for a non-empty non-single node, an 8bits identifier is generated to indicate whether the child node of the node is Non-empty; loop like this until the node at the finest level is visited.
(3)对拓扑数据进行顶点索引的重排和压缩:采用叶节点中包含的顶点从左到右的顺序重新排列顶点索引,并且更新原始拓扑数据中的对应索引值,并对拓扑数据进行压缩。(3) Rearrange and compress the vertex indexes of the topology data: rearrange the vertex indexes in the order of the vertices contained in the leaf nodes from left to right, and update the corresponding index values in the original topology data, and compress the topology data .
(4)将属性信息预先按照几何节点流的叶顶点的顺序排列并压缩:将属性信息预先按照几何节点流的叶顶点的顺序排列好,在编码过程中使其与几何信息同步。(4) Arrange and compress the attribute information in advance according to the order of the leaf vertices of the geometric node flow: arrange the attribute information in advance according to the order of the leaf vertices of the geometric node flow, and synchronize it with the geometric information during the encoding process.
(5)对所有数据流进行算术编码。(5) Perform arithmetic coding on all data streams.
采用压缩编码后,基网格文件量有了进一步缩小。After adopting compression coding, the base grid file size has been further reduced.
1.递进传输1. Progressive transmission
本发明采用Browser/Server结构下八叉树解码-递进网格传输的递进传输模式。在传输解码阶段,首先采用基于八叉树广度优先遍历的逐层细化方式恢复基网格;在基网格信息传输完毕后,继续采用递进网格传输的方式,传输一系列细节恢复信息,对模型进行优化和恢复。The invention adopts the progressive transmission mode of octree decoding-progressive grid transmission under the Browser/Server structure. In the transmission and decoding stage, the base grid is first restored by layer-by-layer refinement based on the breadth-first traversal of the octree; after the base grid information is transmitted, the progressive grid transmission is continued to transmit a series of detailed recovery information , to optimize and restore the model.
(1)浏览器-服务器(1) Browser-server
本发明在浏览器端使用内嵌于Web浏览器的Java Applet,因而不需要用户安装独立的应用程序,就能够对三维模型进行渲染;用户可以对模型进行旋转、平移、缩放等交互式操作,还可以在场景中漫游行走,查看感兴趣区域等;此外,由于采用了递进压缩及传输策略,使得响应时间大大缩短,更适合于普通用户网上浏览。The present invention uses the Java Applet embedded in the Web browser on the browser side, so that the three-dimensional model can be rendered without the need for the user to install an independent application program; the user can perform interactive operations such as rotation, translation, and zooming on the model, It is also possible to roam in the scene, view the area of interest, etc.; in addition, due to the use of progressive compression and transmission strategies, the response time is greatly shortened, and it is more suitable for ordinary users to browse the Internet.
在三维数据传输的过程中,用户在需要查看和操作模型时,可以随时控制暂停传输,此时,浏览器端向服务器发送一个等待请求,请求中包含当前的数据流位置和状态,服务器暂停发送数据;在用户停止操作时,浏览器向服务器发出下载请求,服务器根据已保存的状态信息继续向浏览器端发送数据,从而继续三维模型的细化过程。In the process of 3D data transmission, when the user needs to view and operate the model, he can control and pause the transmission at any time. At this time, the browser sends a waiting request to the server, which contains the current data stream position and status, and the server suspends the transmission. Data; when the user stops operating, the browser sends a download request to the server, and the server continues to send data to the browser according to the saved state information, thereby continuing the refinement process of the 3D model.
(2)通信线程及其管理(2) Communication thread and its management
为了达到递进传输的目的,需要一边下载文件数据,一边进行模型渲染,因而采用多线程的实现方式。In order to achieve the purpose of progressive transmission, it is necessary to download the file data while performing model rendering, so a multi-threaded implementation is adopted.
服务器将模型文件顺序的传输到客户端,客户端在接收数据的同时分析数据内容,针对内容的不同构建不同的内部模型数据表示,以便开始绘制;同时在每个新信息到达时,都需要更新内部的数据内容,并重新更新屏幕中的图像。这里需要三个线程,分别为:数据下载线程、数据分析线程和图形绘制线程(主线程)。The server transmits the model files to the client sequentially, and the client analyzes the data content while receiving the data, and builds different internal model data representations for different content, so as to start drawing; at the same time, when each new information arrives, it needs to be updated internal data content, and re-updates the image on the screen. Three threads are needed here, namely: data download thread, data analysis thread and graphics drawing thread (main thread).
下载线程负责从服务器端下载文件数据,每当客户端有数据之后,便交由分析线程对数据进行语义分析,形成内部的数据描述格式。绘图线程负责将这些内部数据显示到屏幕上去。在其后的过程中,每当接收到一条新信息,便转换成内部数据描述,随后显示;如此反复进行。The download thread is responsible for downloading file data from the server. Whenever the client has data, it will be handed over to the analysis thread for semantic analysis of the data to form an internal data description format. The drawing thread is responsible for displaying these internal data to the screen. In the subsequent process, whenever a new message is received, it will be converted into an internal data description, and then displayed; so repeated.
在此过程中需要解决线程之间的同步问题:第一,对于下载线程和分析线程来说,在数据没有下载之前进行分析是没有意义的,这就需要在这两个线程之间进行同步;第二,在分析线程分析已下载的文件数据时,下载线程可能又下载到新的数据并要求对文件数据进行更新,这就需要在这两个线程之间进行数据的互斥访问;同样,分析线程和绘图线程之间也存在这样的问题,绘图线程只有在分析线程部分完成(完成若干条优化信息的分析)之后才能进行显示,它们之间也存在一个读写互斥。In this process, the synchronization problem between threads needs to be solved: first, for the download thread and the analysis thread, it is meaningless to analyze before the data is downloaded, which requires synchronization between these two threads; Second, when the analysis thread analyzes the downloaded file data, the download thread may download new data and require the file data to be updated, which requires mutually exclusive access to data between these two threads; similarly, There is also such a problem between the analysis thread and the drawing thread. The drawing thread can only display after the analysis thread is partially completed (the analysis of several pieces of optimization information is completed), and there is also a read-write mutual exclusion between them.
这里采用临界区实现这三个线程对资源的互斥访问,在下载线程未将数据下载到客户端本地的时候,分析线程只能等待,只有得到数据之后才能工作。根据二者速度的不同,可分为两种情况:Here, the critical section is used to realize the mutually exclusive access of these three threads to resources. When the download thread has not downloaded the data to the local client, the analysis thread can only wait and work only after getting the data. Depending on the speed of the two, it can be divided into two situations:
(1)下载速度比分析速度慢:当分析完毕当前的数据段后,分析线程需要根据当前下载的状态决定其本身运行状态。如果当前文件未下载完毕,那么继续等待下一段数据的到来;如果当前文件已经下载完毕,分析结束。(1) The download speed is slower than the analysis speed: After analyzing the current data segment, the analysis thread needs to determine its own running state according to the current download state. If the current file has not been downloaded, continue to wait for the arrival of the next piece of data; if the current file has been downloaded, the analysis ends.
(2)下载速度比分析速度快:此时对于分析线程来说,所要分析的数据是一直存在的,只需要在开始的时候等待第一次数据的到来即可。(2) The download speed is faster than the analysis speed: at this time, for the analysis thread, the data to be analyzed always exists, and it only needs to wait for the arrival of the first data at the beginning.
对于分析线程和绘图线程来说,它们之间的同步比较简单,只要在新数据分析结束之后,绘图线程可以进行绘制。For the analysis thread and the drawing thread, the synchronization between them is relatively simple, as long as the drawing thread can draw after the analysis of new data ends.
1.三维场景传输1. 3D scene transmission
三维场景由不同的对象组成,其中每个对象都是一个独立的形体或结构。为此,在简化和编码阶段,将三维场景看作是若干对象模型的组合体,而对其中的每个对象进行拓扑边界完全保留的网格简化,而在传输恢复阶段,使用多数据流的方法,并采用一种面向对象的视点相关传输策略,根据用户的视点的不同选择不同的模型对象进行优化。A 3D scene is composed of different objects, each of which is an independent shape or structure. Therefore, in the simplification and encoding stage, the 3D scene is regarded as a combination of several object models, and the mesh simplification with fully preserved topological boundaries is performed on each object in it, while in the transmission restoration stage, the multi-stream method, and adopts an object-oriented viewpoint-related transmission strategy, and selects different model objects for optimization according to different viewpoints of users.
首先为场景的每个对象建立了一个单独的数据流,因而对于每个数据流来说,都可以采用前述八叉树解码-递进网格传输的递进传输模式。与简单的对象模型传输不同,本发明设计了一个面向对象的视点相关的传输框架,如图3所示,服务器端提供模型数据并保存当前模型对象的传输状态,客户端下载数据并重构、渲染模型。除了下载、分析、绘图线程外,为客户端再增加一个可见性判断线程,用来计算视点信息,并根据视锥可见性判断需要传输的对象;服务器只需要接收每个客户端传送的所需对象标志,就可以发送相应的优化信息。这样,就将计算负载分散给每个客户端,从而提高了服务器的效率;而对于客户端来说,由于这种可见性判断是粗粒度的面向对象的,因而也不会造成大量的计算,影响可视效果。First, a separate data stream is established for each object in the scene, so for each data stream, the aforementioned progressive transmission mode of octree decoding-progressive grid transmission can be used. Different from simple object model transmission, the present invention designs an object-oriented viewpoint-related transmission framework, as shown in Figure 3, the server side provides model data and saves the transmission state of the current model object, and the client downloads the data and reconstructs, Render the model. In addition to the download, analysis, and drawing threads, add a visibility judgment thread for the client to calculate the viewpoint information and judge the objects to be transmitted according to the visibility of the cone; the server only needs to receive the required data sent by each client. Object flag, you can send the corresponding optimization information. In this way, the calculation load is distributed to each client, thereby improving the efficiency of the server; and for the client, since this visibility judgment is coarse-grained and object-oriented, it will not cause a large amount of calculation. Affects visual effects.
该框架整个执行过程为:The entire execution process of the framework is:
(1)客户端向服务器发出场景传输请求;(1) The client sends a scene transfer request to the server;
(2)服务器接收客户请求,与该客户端建立一个连接,同时查看该用户请求的模型数据是否已经调入内存,如果没有则将其调入内存,然后为该场景的每个对象建立一棵八叉树;(2) The server receives the client request, establishes a connection with the client, and at the same time checks whether the model data requested by the user has been loaded into the memory, if not, loads it into the memory, and then creates a tree for each object of the scene octree;
(3)服务器向客户端传输每个对象的基网格数据(顶点的坐标、面的索引以及其它相关信息);(3) The server transmits the base grid data of each object (vertex coordinates, surface indices, and other relevant information) to the client;
(4)客户端接收完毕基网格信息后,进行显示;(4) After the client receives the base grid information, it displays it;
(5)客户端根据自己的视点计算当前可见的对象,并将可见性状态传输到服务器;(5) The client calculates the currently visible objects according to its own viewpoint, and transmits the visibility status to the server;
(6)服务器根据当前客户端状态传输当前可见对象的优化信息,并将其他对象的优化信息数据流的传输暂停,保存当前状态;(6) The server transmits the optimization information of the currently visible object according to the current client state, and suspends the transmission of the optimization information data stream of other objects, and saves the current state;
(7)客户端每接收到一条优化信息,便对模型进行细化,并重新绘制;(7) Each time the client receives a piece of optimization information, it refines the model and redraws it;
(8)如果视点改变,重复上述(5);(8) If the viewpoint changes, repeat the above (5);
(9)客户端退出,服务器清理无用的状态信息。(9) The client exits, and the server cleans up useless state information.
利用上述传输方法,对模型进行递进传输,图4为一个观音模型的传输,首先进行八叉树解码,在得到基网格后,进而进行递进网格传输恢复。从图4传输过程可以看出,在八叉树启动并解码传输20%之后得到的基网格,与原始模型除了在几何相似性上非常接近外,还较好地保留原始模型的边界、轮廓及纹理特征。Using the above transmission method, the model is progressively transmitted. Figure 4 shows the transmission of a Guanyin model. First, the octree decoding is performed, and after the basic grid is obtained, the progressive grid transmission and restoration is performed. From the transmission process in Figure 4, it can be seen that the base grid obtained after the octree is started and decoded and transmitted by 20%, is very close to the original model in terms of geometric similarity, and also preserves the boundaries and contours of the original model well. and texture features.
图5为对场景中一组兵马俑模型进行递进传输的过程,其初始过程仍相似,首先对当前可见的兵马俑模型进行八叉树解码传输;随后视点拉近,部分对象进入视野并参与细化;当视点继续转动时,原先在窗口外的兵马俑模型由于刚开始传输,仍然显得比较粗糙。Figure 5 shows the process of progressive transmission of a group of terracotta warrior models in the scene. The initial process is still similar. First, the octree decoding and transmission of the currently visible terracotta warrior models is performed; then the viewpoint is zoomed in, and some objects enter the field of view and participate in refinement ; When the viewpoint continues to rotate, the terracotta warriors and horses model outside the window still appear rough due to the transmission at the beginning.
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