Sep 11, 2023 · In this paper, we discuss the problem of converting the parametric form of curves into the implicit form, which is called implicitization.

Jul 20, 2024 · The present paper has two contributions. We first introduce a new regularization constraint (called the asymmetric gradient constraint) for both ...

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Adaptive Approximate Implicitization of Planar Parametric Curves via Asymmetric Gradient Constraints. Symmetry 2023, 15, 1738. https://doi.org/10.3390 ...

A method for the approximation of piecewise rational parametric manifolds of a chosen degree with an algebraic hypersurface is presented.

A family of algorithms for approximate implicitization of rational parametric curves and surfaces using orthogonal polynomials, which tend to be faster and ...

The main contribution of this research is to develop an IP fitting algorithm capable of discovering an optimal polynomial degree to be used during the fitting ...

We report on approximate techniques for conversion between the implicit and the parametric representation of curves and surfaces, i.e., implicitization and ...

We then propose two adaptive algorithms of approximate implicitization for polynomial and non-polynomial curves respectively, which find ...

A new technique for finding implicit matrix-based representations of rational curves in arbitrary dimension is introduced.