[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-664179-105":59,"doc-detail-664179-en":134},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":127,"head_meta":129,"extra_data":131,"updated_unix":133},105,"en","geometric-modeling-introduction-solid-modeling","Geometric Modeling - Introduction - Solid Modeling","","Geometric modeling is presented as a key enabler for CAD, emphasizing that it is a means for engineering rather than the engineering goal itself. The material outlines how geometry and topology support complete part representation, data transfer to CAE/CAM, and downstream uses such as mass properties, mechanism analysis, FEA/FEM, and CNC tool path creation. It compares core modeling techniques—2D projections, wireframe, surface, and solid—highlighting strengths, limitations, and the role of attributes and unambiguous representations.",{"@graph":69,"@context":126},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/geometric-modeling-introduction-solid-modeling/664179/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/geometric-modeling-introduction-solid-modeling/664179.png","ImageObject",300,407,{"name":92,"@type":93},"putri.kecil17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"Why is geometric modeling important in a CAD system?","Question",{"text":112,"@type":113},"Geometric modeling is essential in CAD because engineering workflows require reliable product geometry. It supports analysis and manufacturing tasks and enables direct data transfer to CAE and CAM.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do topology and geometry differ in geometric modeling?",{"text":117,"@type":113},"Geometry describes shape and dimensions, while topology describes connectivity and associativity between object entities. Topology determines relational information that drives how entities relate within a model.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the main modeling techniques discussed, and what does each focus on?",{"text":121,"@type":113},"The document covers 2D projection (drawings), wireframe modeling (points/lines/curves), surface modeling (sets of faces with geometry but no topology), and solid modeling (half-space concept with both geometric and topological information).",{"name":123,"@type":110,"acceptedAnswer":124},"What is the “half-space” concept used for in solid modeling?",{"text":125,"@type":113},"Solid modeling uses the half-space concept to define objects by separating interior and exterior volumes with a boundary. By introducing direction and combining half-spaces via Boolean operations, various solids can be constructed while storing topological information.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},664179,1793242355,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":56,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":133,"read_time":147},962094509873,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Geometric Modeling  \nIntroduction  \n“Geometric modeling is as important to CAD as governing equilibrium equations to classical engineering fields as mechanics and thermal fluids.”  \n9 intelligent decision on the types of entities necessary to use in a particular model to meet certain geometric requirements such as slopes and/or curvatures.  \n9 interpretation of unexpected results  \n9evaluations of CAD/CAM systems  \n9 innovative use of the tools in particular applications.  \n9creation of new attributes , or modify the obtained models to benefit new engineering applications.  \n9 understanding of terminology  \nThe Role of Geometric Modeling in a CAD System  \nDetermine Determine  \nAnalysis and Manufacturing  \nGeneral Requirements  \n• Complete part representation including topological and geometrical data  \n– Geometry: shape and dimensions  \n– Topology: the connectivity and associativity of the object entities; it determines the relational information between object entities  \n• Able to transfer data directly from CAD to CAE and CAM.  \n• Support various engineering applications, such as mass properties, mechanism analysis, FEA/FEM and tool path creation for CNC, and so on.  \nTopology and Geometry  \nComments on Geometric Modeling  \n• Geometric modeling is only a means not the goal in engineering.  \n• Engineering analysis needs product geometry ; the degree of detail depends on the analysis procedure that utilizes the geometry.  \n• There is no model that is sufficient to study all behavioral aspects of an engineering component or a system.  \n• Attributes facilitate analysis and grow with applications  \nBasic Geometric Modeling Techniques  \n• 2-D Projection (Drawings)  \n• Wireframe Modeling  \n• Surface Modeling  \n􀂃 Analytical Surface  \n􀂃 Free-form, Curved, & Sculptured Surface  \n• Solid Modeling  \n􀂃 Constructive Solid Geometry (CSG)  \n􀂃 Boundary Representation (B-Rep)  \n􀂃  \n…  \n􀂃 Feature Based Modeling  \n􀂃 Parametric Modeling  \n2-D Projection  \nProblems:  \n• Training is necessary to understand the drawing  \n• Mistakes often occur  \n• Does not support subsequent applications such as  \nfinite element analysis (FEA) or NC part programming  \nWireframe Modeling  \n• Developed in 1960s and referred as “a stick figure” or “an edge representation”  \n• The word “wireframe” is related to the fact that one may imagine a wire that is bent to follow the object edges to generate a model.  \n• Model consists entirely of points, lines, arcs and circles, conics, and curves.  \n• In 3D wireframe model, an object is not recorded as a solid. Instead the vertices that define the boundary of the object, or the intersections of the edges of the object boundary are recorded as a collection of points and their connectivity.  \nambiguous  \nExample of Wireframe Modeling  \nSurface Modeling  \n• A surface model is a set of faces.  \n• A surface model consists of wireframe entities that form the basis to create surface entities.  \n• In general, a wireframe model can be extracted from a surface model by deleting or blanking all surface entities  \n• Shape design and representation of complex objects such as car, ship, and airplane bodies as well as castings  \n• Used to be separated, shape model are now incorporated into solid models (e.g. Pro/E)  \n| Examples of Surface Models |  |\n| --- | --- |\n| \u003Cbr>Analytical Surfaces | \u003Cbr>Free-form, Curved, or Sculptured Surface |\n\n\n| Examples of Surface Models\u003Cbr>• Surface models define only the geometry, no topology.\u003Cbr>• Shading is possible |  |\n| --- | --- |\n| | \u003Cbr>Shading-by interpreting the polygons’\u003Cbr>• Direction (normal)\u003Cbr>• Spatial order |\n\n Solid Modeling  \n• The solid modeling technique is based upon the \"half-space\"concept.  \n• The boundary of the model separates the interior and exterior of the modeled object.  \n• The object is defined by the volume space contained within the defined boundary of the object.  \n• In general speaking, a closed boundary is needed to define a solid object.  \n• informationally complete, vali","cbCaigjBZXaBMLjw","https://ap.wps.com/l/cbCaigjBZXaBMLjw","pdf",1013043,"English","# Introduction\n## The Role of Geometric Modeling in a CAD System\n## Analysis and Manufacturing - General Requirements\n## Topology and Geometry\n# Comments on Geometric Modeling\n# Basic Geometric Modeling Techniques\n## 2-D Projection (Drawings)\n## Wireframe Modeling\n## Surface Modeling\n## Solid Modeling\n# Why Solid Modeling?\n## Solid Modeling Support\n## Foundation of Solid Modeling - Element of Primitives","[{\"question\":\"Why is geometric modeling important in a CAD system?\",\"answer\":\"Geometric modeling is essential in CAD because engineering workflows require reliable product geometry. It supports analysis and manufacturing tasks and enables direct data transfer to CAE and CAM.\"},{\"question\":\"How do topology and geometry differ in geometric modeling?\",\"answer\":\"Geometry describes shape and dimensions, while topology describes connectivity and associativity between object entities. Topology determines relational information that drives how entities relate within a model.\"},{\"question\":\"What are the main modeling techniques discussed, and what does each focus on?\",\"answer\":\"The document covers 2D projection (drawings), wireframe modeling (points/lines/curves), surface modeling (sets of faces with geometry but no topology), and solid modeling (half-space concept with both geometric and topological information).\"},{\"question\":\"What is the “half-space” concept used for in solid modeling?\",\"answer\":\"Solid modeling uses the half-space concept to define objects by separating interior and exterior volumes with a boundary. By introducing direction and combining half-spaces via Boolean operations, various solids can be constructed while storing topological information.\"}]","Geometric Modeling - Introduction - Solid Modeling | PDF",48]