Algorithm for algebraic curve intersection
Computer-Aided Design
Mo¨bius reparametrizations of rational B-splines
Computer Aided Geometric Design
Computer Aided Geometric Design
A vegetarian approach to optimal parameterizations
Computer Aided Geometric Design
NURBS: From Projective Geometry to Practical Use
NURBS: From Projective Geometry to Practical Use
Incremental rendering of deformable trimmed NURBS surfaces
Proceedings of the ACM symposium on Virtual reality software and technology
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Rational quadratic circles are parametrized by chord length
Computer Aided Geometric Design
Numerical Methods in Scientific Computing: Volume 1
Numerical Methods in Scientific Computing: Volume 1
Curves with chord length parameterization
Computer Aided Geometric Design
Parameterizing subdivision surfaces
ACM SIGGRAPH 2010 papers
Non-rigid surface registration using spherical thin-plate splines
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Authalic Parameterization of General Surfaces Using Lie Advection
IEEE Transactions on Visualization and Computer Graphics
Optimal parameterizations of bézier surfaces
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
G1 continuous approximate curves on NURBS surfaces
Computer-Aided Design
Computation of optimal composite re-parameterizations
Computer Aided Geometric Design
Improving the Parameterization of Approximate Subdivision Surfaces
Computer Graphics Forum
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The equiareality of NURBS surfaces greatly affects the results of visualization and tessellation applications, especially when dealing with extruding and intruding shapes. To improve the equiareality of given NURBS surfaces, an optimization algorithm using the Mobius transformations is presented in this paper. The optimal Mobius transformation is obtained by computing the intersection of two planar algebraic curves, whose coefficients are computed explicitly for Bezier and B-spline surfaces, while numerically for NURBS surfaces. Examples are given to show the performance of our algorithm for visualization and tessellation applications.