We propose a generalised B-spline construction that extends uniform bi-degree B-splines to multisided regions spanned over extraordinary regions in quad-dominant meshes. We show how the structure of the existing cubic multisided B-spline patch can be generalised to work with B-spline basis functions of arbitrary degree and can be spanned over extraordinary vertices as well as extraordinary faces of quad-dominant meshes. The resulting multisided surfaces are Cd-1 continuous internally and connect with Gd-1 continuity to adjacent regular and other multisided B-splines patches. In addition, we design several specialised functions that increase the visual quality of the patches, in both the extraordinary vertex and face settings.
|Title of host publication||Smart Tools and Apps for Graphics - Eurographics Italian Chapter Conference|
|Editors||Silvia Biasotti, Ruggero Pintus, Stefano Berretti|
|Publisher||The Eurographics Association|
|Number of pages||9|
|Publication status||Published - 2020|