Intersection and self-intersection of surfaces by means of Bezoutian matrices
The computation of intersection and self-intersection loci of parametrized surfaces is an important task in Computer Aided Geometric Design. We address these problems via four resultants with separated variables; two of them are specializations of ...
On the curvature of guided surfaces
Following [Karciauskas, K., Peters, J., 2007. Concentric tessellation maps and curvature continuous guided surfaces. Computer Aided Geometric Design 24 (2) 99-111], we analyze surfaces arising as an infinite sequence of guided C^2 surface rings. However,...
On the approximation order of tangent estimators
A classic problem in geometric modelling is curve interpolation to data points. Some of the existing interpolation schemes only require point data, whereas others, require higher order information, such as tangents or curvature values, in the data ...
From extension of Loop's approximation scheme to interpolatory subdivisions
The minimum-supported bivariate C^2-cubic spline on a 6-directional mesh constructed in our previous work [Chui, C.K., Jiang, Q.T., 2003. Surface subdivision schemes generated by refinable bivariate spline function vectors. Appl. Comput. Harmonic Anal. ...
Convolution surfaces of quadratic triangular Bézier surfaces
In the present paper we prove that the polynomial quadratic triangular Bezier surfaces are LN-surfaces. We demonstrate how to reparameterize the surfaces such that the normals obtain linear coordinate functions. The close relation to quadratic Cremona ...
