ISO/TS 10303-1819:2021 Tessellated geometry


Application module: Tessellated geometry	ISO/TS 10303-1819:2021(E) © ISO

Cover page
Table of contents
Copyright
Foreword
Introduction
1 Scope
2 Normative references
3 Terms, definitions and abbreviated terms
3.1 Terms and definitions
3.2 Abbreviated terms

4 Information requirements
4.1 Required AM ARMs
4.2 ARM type definitions
4.3 ARM entity definitions
5 Module interpreted model
5.1 Mapping specification
5.2 MIM EXPRESS short listing

A MIM short names
B Information object registration
C ARM EXPRESS-G
D MIM EXPRESS-G
E Computer interpretable listings
F Change history
Bibliography
Index


         (*
ISO/TC 184/SC 4/WG 12 N10890 - ISO/TS 10303-1819 Tessellated geometry - EXPRESS ARM
Supersedes 
         ISO/TC 184/SC 4/WG 12 N9836
*)



SCHEMA Tessellated_geometry_arm;


         USE FROM
         Advanced_boundary_representation_arm;
            -- ISO/TS 10303-1514


         USE FROM
         Basic_curve_arm;
            -- ISO/TS 10303-1651


         USE FROM
         Basic_geometry_arm;
            -- ISO/TS 10303-1652


         USE FROM
         Basic_geometric_topology_arm;
            -- ISO/TS 10303-1323


         USE FROM
         Draughting_element_arm;
            -- ISO/TS 10303-1310


         USE FROM
         Elemental_geometric_shape_arm;
            -- ISO/TS 10303-1004


         USE FROM
         Elemental_topology_arm;
            -- ISO/TS 10303-1005


         REFERENCE FROM 
         Foundation_representation_arm   -- ISO/TS 10303-1006
  (using_representations);


TYPE angular_deviation =
         plane_angle_measure;

         END_TYPE;


TYPE chordal_deviation =
         positive_length_measure;

         END_TYPE;


TYPE edge_or_curve =
         
         
         SELECT

            (Edge_curve, 
    Curve);

         END_TYPE;


TYPE face_or_surface =
         
         
         SELECT

            (Face_surface, 
    Surface);

         END_TYPE;


TYPE length_to_height_ratio =
         ratio_measure;

         END_TYPE;


TYPE maximum_edge_length =
         positive_length_measure;

         END_TYPE;


TYPE path_or_composite_curve =
         
         
         SELECT

            (Path, 
    Composite_curve);

         END_TYPE;


TYPE tessellated_edge_or_vertex =
         
         
         SELECT

            (Tessellated_edge, 
    Tessellated_vertex);

         END_TYPE;


TYPE tessellated_facet_long_short_edge_ratio =
         ratio_measure;

         END_TYPE;


TYPE tessellation_accuracy_parameter_item =
         
         EXTENSIBLE
         
         
         SELECT

            (angular_deviation, 
    tessellated_facet_long_short_edge_ratio, 
    chordal_deviation, 
    length_to_height_ratio, 
    maximum_edge_length);

         END_TYPE;


TYPE tg_draughting_callout_content_select =
         
         
         SELECT
         BASED_ON
         draughting_callout_content_select
         WITH 
         

            (Tessellated_annotation);

         END_TYPE;


ENTITY Complex_triangulated_face

           SUBTYPE OF (Tessellated_face);

           pnindex : LIST[0:?] OF INTEGER;

           triangle_strips : LIST[0:?] OF LIST[3:?] OF INTEGER;

           triangle_fans : LIST[0:?] OF LIST[3:?] OF INTEGER;
WHERE

           WR1: ((SIZEOF(pnindex) = 0) OR (SIZEOF(pnindex) = SELF\Tessellated_face.pnmax));

           WR2: NOT ((SIZEOF(pnindex) = 0) AND (SELF\Tessellated_face.pnmax <> coordinates.npoints));

           WR3: NOT ((SIZEOF(triangle_strips) = 0) AND (SIZEOF(triangle_fans) = 0));

         
         END_ENTITY;


ENTITY Complex_triangulated_surface_set

           SUBTYPE OF (Tessellated_surface_set);

           pnindex : LIST[0:?] OF INTEGER;

           triangle_strips : LIST[0:?] OF LIST[3:?] OF INTEGER;

           triangle_fans : LIST[0:?] OF LIST[3:?] OF INTEGER;
WHERE

           WR1: ((SIZEOF(pnindex) = 0) OR (SIZEOF(pnindex) = SELF\Tessellated_surface_set.pnmax));

           WR2: NOT ((SIZEOF(pnindex) = 0) AND (SELF\Tessellated_surface_set.pnmax <> coordinates.npoints));

           WR3: NOT ((SIZEOF(triangle_strips) = 0) AND (SIZEOF(triangle_fans) = 0));

         
         END_ENTITY;


ENTITY Coordinates_list

           SUBTYPE OF (Tessellated_item);

           npoints : INTEGER;

           position_coords : LIST[1:?] OF LIST[3:3] OF REAL;
WHERE

           WR1: npoints = SIZEOF(position_coords);

           WR2: SIZEOF(['TESSELLATED_GEOMETRY_ARM.REPOSITIONED_TESSELLATED_ITEM'] * TYPEOF(SELF)) = 0;

         
         END_ENTITY;


ENTITY Cubic_bezier_tessellated_edge

           SUBTYPE OF (Tessellated_edge);

           SELF\Tessellated_edge.line_strip : LIST[4:?] OF INTEGER;

         
         END_ENTITY;


ENTITY Cubic_bezier_triangulated_face

           SUBTYPE OF (Tessellated_face);

           ctriangles : LIST[1:?] OF LIST[10:10] OF INTEGER;
WHERE

           WR1: SIZEOF(SELF\Tessellated_face.normals) = 0;

         
         END_ENTITY;


ENTITY Cubic_tessellated_connecting_edge

           SUBTYPE OF (Cubic_bezier_tessellated_edge);

           smooth : LOGICAL;

           face1 : Cubic_bezier_triangulated_face;

           face2 : Cubic_bezier_triangulated_face;

         
         END_ENTITY;


ENTITY Repositioned_tessellated_item

           SUBTYPE OF (Tessellated_item);

           location : Axis_placement_3d;
WHERE

           WR1: NOT (SIZEOF(['TESSELLATED_GEOMETRY_ARM.TESSELLATED_CURVE_SET',                'TESSELLATED_GEOMETRY_ARM.TESSELLATED_GEOMETRIC_SET',
            'TESSELLATED_GEOMETRY_ARM.TESSELLATED_POINT_SET',                'TESSELLATED_GEOMETRY_ARM.TESSELLATED_SURFACE_SET',     
            'TESSELLATED_GEOMETRY_ARM.TESSELLATED_SHELL',                'TESSELLATED_GEOMETRY_ARM.TESSELLATED_SOLID',               
            'TESSELLATED_GEOMETRY_ARM.TESSELLATED_WIRE'] *               TYPEOF(SELF)) =        0);

         
         END_ENTITY;


ENTITY Tessellated_annotation

           SUBTYPE OF (Annotation_element);

           SELF\Styled_element.element : Tessellated_item;

         
         END_ENTITY;


ENTITY Tessellated_connecting_edge

           SUBTYPE OF (Tessellated_edge);

           smooth : LOGICAL;

           face1 : Tessellated_face;

           face2 : Tessellated_face;

           line_strip_face1 : LIST[2:?] OF INTEGER;

           line_strip_face2 : LIST[2:?] OF INTEGER;
WHERE

           WR1: SIZEOF(line_strip_face1) = SIZEOF(line_strip_face2);

           WR2: SIZEOF(line_strip_face1) = SIZEOF(SELF\Tessellated_edge.line_strip);

         
         END_ENTITY;


ENTITY Tessellated_curve_set

           SUBTYPE OF (Tessellated_item);

           coordinates : Coordinates_list;

           line_strips : LIST[1:?] OF LIST[2:?] OF INTEGER;

         
         END_ENTITY;


ENTITY Tessellated_edge

           SUPERTYPE OF 
         (ONEOF (Tessellated_connecting_edge,
                       Cubic_bezier_tessellated_edge))

           SUBTYPE OF (Tessellated_structured_item);

           coordinates : Coordinates_list;

           geometric_link : 
         OPTIONAL 
         edge_or_curve;

           line_strip : LIST[2:?] OF INTEGER;

         
         END_ENTITY;


ENTITY Tessellated_face

           ABSTRACT SUPERTYPE
         
         OF (ONEOF (Triangulated_face,
                                Complex_triangulated_face,
                                Cubic_bezier_triangulated_face))

           SUBTYPE OF (Tessellated_structured_item);

           coordinates : Coordinates_list;

           pnmax : INTEGER;

           normals : LIST[0:?] OF LIST[3:3] OF REAL;

           geometric_link : 
         OPTIONAL 
         face_or_surface;
WHERE

           WR1: ((SIZEOF(normals) = 0) OR (SIZEOF(normals) = 1) OR (SIZEOF(normals) = pnmax));

         
         END_ENTITY;


ENTITY Tessellated_geometric_set

           SUBTYPE OF (Tessellated_item);

           children : SET[1:?] OF Tessellated_item;

         
         END_ENTITY;


ENTITY Tessellated_item

           ABSTRACT SUPERTYPE
         
         OF (ONEOF (Coordinates_list,
                                Tessellated_solid,
                                Tessellated_shell,
                                Tessellated_wire,
                                Tessellated_geometric_set,
                                Tessellated_curve_set,
                                Tessellated_point_set,
                                Tessellated_surface_set,
                                Tessellated_structured_item))

           SUBTYPE OF (Detailed_geometric_model_element);
WHERE

           WR1: SIZEOF(QUERY(using_rep                <* using_representations(SELF)                | NOT ('TESSELLATED_GEOMETRY_ARM.TESSELLATED_SHAPE_REPRESENTATION'
            IN TYPEOF(using_rep)))) =   0;

         
         END_ENTITY;


ENTITY Tessellated_point_set

           SUBTYPE OF (Tessellated_item);

           coordinates : Coordinates_list;

           point_list : LIST[1:?] OF INTEGER;

         
         END_ENTITY;


ENTITY Tessellated_shape_representation

           SUBTYPE OF (Geometric_model);
WHERE

           WR1: 'ELEMENTAL_GEOMETRIC_SHAPE_ARM.GEOMETRIC_COORDINATE_SPACE' IN TYPEOF(SELF\Representation.context_of_items);

           WR2: NOT (SIZEOF(QUERY(it <* SELF.items | 'TESSELLATED_GEOMETRY_ARM.TESSELLATED_ITEM' IN TYPEOF(it))) = 0);

         
         END_ENTITY;


ENTITY Tessellated_shape_representation_with_accuracy_parameters

           SUBTYPE OF (Tessellated_shape_representation);

           tessellation_accuracy_parameters : SET[1:?] OF tessellation_accuracy_parameter_item;

         
         END_ENTITY;


ENTITY Tessellated_shell

           SUBTYPE OF (Tessellated_item);

           items : SET[1:?] OF Tessellated_structured_item;

           topological_link : 
         OPTIONAL 
         Connected_face_set;

         
         END_ENTITY;


ENTITY Tessellated_solid

           SUBTYPE OF (Tessellated_item);

           items : SET[1:?] OF Tessellated_structured_item;

           geometric_link : 
         OPTIONAL 
         Manifold_solid_brep;

         
         END_ENTITY;


ENTITY Tessellated_structured_item

           SUPERTYPE OF 
         (ONEOF (Tessellated_face,
                       Tessellated_edge,
                       Tessellated_vertex))

           SUBTYPE OF (Tessellated_item);

         
         END_ENTITY;


ENTITY Tessellated_surface_set

           ABSTRACT SUPERTYPE
         
         OF (ONEOF (Triangulated_surface_set,
                                Complex_triangulated_surface_set))

           SUBTYPE OF (Tessellated_item);

           coordinates : Coordinates_list;

           pnmax : INTEGER;

           normals : LIST[0:?] OF LIST[3:3] OF REAL;
WHERE

           WR1: ((SIZEOF(normals) = 0) OR (SIZEOF(normals) = 1) OR (SIZEOF(normals) = pnmax));

         
         END_ENTITY;


ENTITY Tessellated_vertex

           SUBTYPE OF (Tessellated_structured_item);

           coordinates : Coordinates_list;

           topological_link : 
         OPTIONAL 
         Vertex_point;

           point_index : INTEGER;

         
         END_ENTITY;


ENTITY Tessellated_wire

           SUBTYPE OF (Tessellated_item);

           items : SET[1:?] OF tessellated_edge_or_vertex;

           geometric_model_link : 
         OPTIONAL 
         path_or_composite_curve;

         
         END_ENTITY;


ENTITY Triangulated_face

           SUBTYPE OF (Tessellated_face);

           pnindex : LIST[0:?] OF INTEGER;

           triangles : LIST[1:?] OF LIST[3:3] OF INTEGER;
WHERE

           WR1: ((SIZEOF(pnindex) = 0) OR (SIZEOF(pnindex) = SELF\Tessellated_face.pnmax));

           WR2: NOT ((SIZEOF(pnindex) = 0) AND (SELF\Tessellated_face.pnmax <> coordinates.npoints));

         
         END_ENTITY;


ENTITY Triangulated_surface_set

           SUBTYPE OF (Tessellated_surface_set);

           pnindex : LIST[0:?] OF INTEGER;

           triangles : LIST[1:?] OF LIST[3:3] OF INTEGER;
WHERE

           WR1: ((SIZEOF(pnindex) = 0) OR (SIZEOF(pnindex) = SELF\Tessellated_surface_set.pnmax));

           WR2: NOT ((SIZEOF(pnindex) = 0) AND (SELF\Tessellated_surface_set.pnmax <> coordinates.npoints));

         
         END_ENTITY;



         END_SCHEMA;  -- Tessellated_geometry_arm