Approximation of Catmull-Clark subdivision surfaces by Bezier patches
View Patent ↗A method for converting a subdivision surface, such as a Catmull-Clark subdivision surface, into a cubic Bezier surface defined by sixteen control points. The method includes (a) converting a subdivision face to Bezier control points using a conversion matrix using fifteen points and a dummy value for an unavailable sixteenth point; and (b) replacing one of the Bezier control points which corresponds to an extraordinary point on the subdivision face with the extraordinary point's limit point.
1. A method, comprising:
converting a subdivision face of a computer based model containing an extraordinary point to a Bezier patch of the model defined by Bezier control points; and
adjusting a Bezier control point to improve the conversion and displaying the patch.
2. A method, comprising:
converting a subdivision face of a computer based model with a creased edge to a Bezier patch of the model defined by Bezier control points; and
adjusting a Bezier control point to improve the conversion and displaying the patch.