Skip to main content Module measure Copy item path Source exact Mass properties of an exact B-rep, without tessellating it. exact_bodies Certified boundary distance and Hausdorff distance between bodies made
of several exact solids (#229). exact_distance Certified distance between the boundaries of two exact B-reps (#125, C18). exact_hausdorff Certified Hausdorff distance between the boundaries of two exact B-reps
(#224). frechet Fréchet distance between polylines (#147). measure Open measurement capability. mesh Deterministic raw triangle-mesh measures. mesh_faces Faces of a triangle mesh selected by their normal (#417). mesh_hausdorff Certified Hausdorff distance between two triangle meshes (#148, D15). mesh_measure The reference Measure mesh_proximity Mesh-level proximity: distance with witnesses, and proximity components. polyline_hausdorff Hausdorff distance between polylines, and a certified Fréchet decision
(#147, ledger row H4). properties Measurement result values. proximity Deterministic metric proximity queries for 3D primitives. winding Generalized winding-number accumulation over validated triangle views. BodyDistance A certified distance between two bodies and the items its witnesses lie
on. BodyHausdorff The two-sided Hausdorff distance between the boundaries of two bodies
and both one-sided ones. BodyHausdorffBounds A certified one-sided Hausdorff distance between two bodies and the
items its witnesses lie on. BoundaryHausdorff The two-sided Hausdorff distance between two exact boundaries and both
one-sided ones. ClosestPoints3 Two witnesses, ordered to match the first and second inputs. DistanceBounds An interval certain to contain the distance between two boundaries,
and two witnesses. point_a and point_b are computed points, each
within its evaluation rounding of a point of its boundary
(POINT eps W, see “Rounding” in the module docs), and upper is at
least the distance between those two boundary points (#439): the
computed |point_a - point_b| plus that rounding, never less. In plan,
an overlap shown by two planar faces reports [0, 0]. FaceDomain Which parameters of one exact face lie inside it, decided with a
certificate or not at all. FaceSelection Triangles chosen by select_by_normal HausdorffBounds An interval certain to contain a Hausdorff distance, with its witness. MassProperties Surface/solid mass properties in local coordinates. MeshDistance The separation between two meshes and the witness pair realising it. MeshHausdorff The two-sided Hausdorff distance and both one-sided ones. MeshMeasure Reference mass-property provider for triangle meshes. NormalCone A direction and an angular reach about it. PlacedBody A body: its items in the body’s own frame, and one rigid placement
that puts them in the world (#229). ProximityComponent A region where two meshes approach within a threshold. SurfaceProperties VolumeProperties WindingMesh A read-only, structurally prepared mesh for repeated winding queries. WindingNumber Raw winding accumulation for one query point. BodyMeasureError Why two bodies of exact solids could not be measured. BodyPlanOverlap Whether the plan projections of two bodies overlap, and which items
show it. BodySide Which argument of a body query a refusal is about. Clearance How a certified distance compares with a limit. CycleVolumeError What cycle_volume_properties ExactMeasureError Why an exact B-rep could not be measured. FaceSelectionError Why a selection or an extent was refused. FrechetDecision A certified answer to the Fréchet decision problem: whether the
continuous Fréchet distance is at most eps. FrechetError Why a Fréchet query was refused. HausdorffError Why a Hausdorff query could not be answered. MeshMeasureError MeshProximityError Why a mesh proximity query could not be answered. PlanOverlap Whether the plan projections of two bodies overlap. ProximityError Metric-input failure for primitive proximity queries. WindingError Failure to prepare or evaluate a winding query. Measure Compute mass properties for one representation type. body_boundary_clearance body_boundary_distancelimit.body_boundary_distance Distance between the boundaries of two bodies of exact solids, to within
accuracy (#229): the least over item pairs, by one shared search. body_boundary_hausdorff_distance Two-sided Hausdorff distance between the boundaries of the unions of two
bodies’ items, to within accuracy (#229). body_plan_boundary_clearance body_plan_boundary_distancelimit.body_plan_boundary_distance Plan distance between two bodies of exact solids – between their
shadows on the XY plane – to within accuracy (#237): the least over
item pairs, by one shared search. body_plan_overlap Whether the plan projections of two bodies overlap over a patch of
positive area – an item of one over an item of the other – are
certainly apart, or neither could be shown (#237). boundary_clearance Refine the distance only until it clears limit. boundary_distance Distance between the boundaries of a and b, to within accuracy. boundary_hausdorff_distance Two-sided Hausdorff distance between the boundaries of a and b, to
within accuracy (#224). closest_point_on_triangle Closest point on a non-degenerate triangle. closest_points_on_segments Closest witnesses on two finite segments. closest_points_on_triangles Deterministic metric witnesses on two non-degenerate triangles. cycle_volume_properties Signed volume and centroid of a mesh whose triangles form a closed
oriented cycle, the weaker input volume_properties discrete_frechet_distance Discrete Fréchet distance between the vertex sequences of a and b. discrete_frechet_distance_2d discrete_frechet_distanceexact_properties Mass properties of an exact B-rep. extent_along Extent of the listed triangles along along: the least and greatest of
p . u over every corner, u = along / |along|, as start and end. frechet_at_most Whether the continuous Fréchet distance between a and b is at most
eps. frechet_at_most_2d frechet_at_mostfrechet_decide_certified A certified decision for whether the continuous Fréchet distance between
a and b is at most eps, unlike frechet_at_most frechet_decide_certified_2d frechet_decide_certifiedfrechet_distance Continuous Fréchet distance between the polylines a and b. frechet_distance_2d frechet_distancehausdorff_distance Two-sided Hausdorff distance between a and b, to within accuracy. mesh_distance Distance between two meshes, with the witness pair realising it. one_sided_body_boundary_hausdorff One-sided Hausdorff distance from the boundary of the union of from’s
items to that of to’s, to within accuracy (#229). one_sided_body_boundary_hausdorff_with_budget one_sided_body_boundary_hausdorffcrate::one_sided_boundary_hausdorff_with_budgetone_sided_boundary_hausdorff One-sided Hausdorff distance h(from, to) between two exact boundaries,
to within accuracy (#224). one_sided_boundary_hausdorff_with_budget one_sided_boundary_hausdorffmax_splits splits of from’s face patches and edge spans (#227).one_sided_hausdorff One-sided Hausdorff distance h(from, to), to within accuracy. one_sided_polyline_hausdorff_distance The supremum, over every point of polyline a, of that point’s distance
to the nearest point of polyline b. Both curves are treated as
continuous piecewise-linear point sets, not just their vertices. one_sided_polyline_hausdorff_distance_2d one_sided_polyline_hausdorff_distanceplan_boundary_clearance plan_boundary_distancelimit.plan_boundary_distance Distance between the plan projections of a and b – their shadows
on the XY plane – to within accuracy (#217). plan_overlap Whether the plan projections of a and b overlap over a patch of
positive area, are certainly apart, or neither could be shown (#217). polyline_hausdorff_distance The symmetric Hausdorff distance between polylines a and b: the
larger of the two one-sided distances (see one_sided_polyline_hausdorff_distance polyline_hausdorff_distance_2d polyline_hausdorff_distanceproximity_components Disjoint regions where two meshes approach within threshold. second_moments Second moments of the enclosed solid about the origin. select_by_normal Select the triangles whose normal lies within cone. surface_properties volume_properties