@article {IOPORT.05811221, author = {He, Jun and Zhang, Caiming and Yang, Xingqiang}, title = {Constructing surfaces on irregular meshes.}, year = {2009}, journal = {Journal of Software}, volume = {20}, number = {6}, issn = {1000-9825}, pages = {1673-1684}, publisher = {Editorial Board of Journal of Software, Institute of Software, The Chinese Academy of Sciences, Beijing; Science Press, Beijing}, doi = {10.3724/SP.J.1001.2009.03393}, abstract = {Summary: A method is presented for constructing surfaces on irregular meshes. The basic idea is to extend the B-spline method to irregular meshes through the decomposition and classification of uniform bi-cubic B-spline basis function. Given a quad mesh of control points, a basis function is constructed for each control point. Then, the surface is defined by the weighted combination of all the control points using their associated basis functions. This surface is a piecewise bi-cubic rational parametric polynomial surface. It is an extension to uniform B-spline surfaces in the sense that its definition is an analogy of the B-spline surface, and it produces an uniform bi-cubic B-spline surface if the control mesh is a regular quad mesh. Examples are also included to show that the new method can be used to construct surface on irregular meshes effectively.}, identifier = {05811221}, }