De Casteljau Algorithm and Degree Elevation of Toric Surface Patches

De Casteljau algorithm and degree elevation of Bezier and NURBS curves/surfaces are two important techniques in computer aided geometric design. This paper presents the de Casteljau algorithm and degree elevation of toric surface patches, which include tensor product and triangular rational Bezier surfaces as special cases. Some representative examples of toric surface patches with common shapes are illustrated to verify these two algorithms. Moreover, the authors also apply the degree elevation of toric surface patches to isogeometric analysis. And two more examples show the effectiveness of proposed method.

Automated summary

De Casteljau algorithm and degree elevation of toric surface patches, including tensor product and triangular rational Bezier surfaces, are important techniques in computer aided geometric design. This paper introduces these algorithms and their applications, demonstrating their effectiveness through representative examples of toric surface patches with common shapes.