Fig 1.
Surface mesh and loops of the “little corner”.
(A) front, top and right faces; (B) back, bottom and left faces.
Fig 2.
Loop 5 and the layer obtained by extending the loop 5.
(A) loop 5; (B) the layer.
Fig 3.
The two sub-solids after dividing by the layer.
(A) the left sub-solid; (B) the right sub-solid.
Fig 4.
Address the right sub-solid recursively.
(A) the layer; (B) the smaller sub-solid.
Fig 5.
The hex mesh of the “little corner”.
(A) the hex mesh; (B) open view.
Fig 6.
Two loops with a single sheet.
(A) the surface mesh; (B) the solid mesh; (C) two loops with one sheet.
Fig 7.
Two representations of cross operation.
Fig 8.
Two representations of the join operation.
Fig 9.
Two representations of CEJ.
Fig 10.
An example of CQ.
Fig 11.
The selection of the bisecting loop.
Fig 12.
The input data of CQ mesh generation.
Fig 13.
Extend the quadrilateral mesh to the hex layer.
(A) the output of CQ mesh generation; (B) the layer of hexes.
Table 1.
Descriptions of the four types of sub-solids.
Fig 14.
(A) the frame field of example 1; (B) the quadrilateral mesh of example 1.
Fig 15.
The comparison of meshes of example 1.
(A) the outside view of our resulting mesh; (B) the outside view of FSC mesh; (C) the cutaway view of our resulting mesh; (D) the cutaway view of FSC mesh.
Table 2.
Statistics for example 1.
Fig 16.
(A) the frame field of example 2; (B) the quadrilateral mesh of example 2.
Fig 17.
The comparison of meshes of example 2.
(A) the outside view of our resulting mesh; (B) the outside view of SRF mesh; (C) the cutaway view of our resulting mesh; (D) the cutaway view of SRF mesh.
Fig 18.
(A) the frame field of example 3; (B) the quadrilateral mesh of example 3.
Fig 19.
The comparison of meshes of example 3.
(A) the outside view of our resulting mesh; (B) the outside view of SRF mesh; (C) the cutaway view of our resulting mesh; (D) the cutaway view of SRF mesh.
Table 3.
Statistics for examples 2 and 3.
Fig 20.
(A) STC centroids; (B) a STC edge; (C) a 2D chord.
Fig 21.
3 groups of topologically parallel edges of a hex.
Fig 22.
3 groups of topologically parallel faces of a hex.
Fig 23.
A chord and two sheets of a hex mesh.
Fig 24.
A surface loop corresponding to a sheet.