To generate regular and fluent structured grids over free-form surfaces

especially complex multiple surfaces for architectural design

an adaptive grid generation method was proposed. First

the surface region to be meshed was determined by four boundary curves. Second

a pair of disconnected boundary curves was divided into n+1 segments respectively and n lines were acquired by connecting pairs of segment points on the same relative positions. Third

these n curves and the other pair of boundary curves were divided into m+1 segments respectively

and m polylines on the other direction were attained by connecting these segment points on the same relative locations. These two sets of curves were divided and reconnected in turn iteratively until the locations of segment points did not change obviously. Finally

the (m+2)×(n+2) segment points were connected into a grid in a desired pattern. During the generation

the grid size was adaptive to boundary conditions or surface shapes by adjusting the rules of curve dividing

and various girds was generated by defining different rules of point connections. The case study indicates that this method is easy to operate

fast to generate

and widely applicable

and the resulting grids have fluent lines

regular shapes

and various patterns

which can meet architectural demands.