We parametrize the surface by defining a continuous, one-to-one mapping from the surface of the original object to the surface of a unit sphere. The parametrization is formulated as a constrained optimization problem. Practicable starting values are obtained by an initial mapping based on a heat conduction model.
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A set of procedures for the explicit parametric representation and global description of surfaces of simply connected 3-D objects is presented.
Parametrization of Closed Surfaces for 3-D Shape Description
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Parametrization of Closed Surfaces for 3-D Shape Description.
2-D and cuberille notion in 3-D describing the shape as a set of line segments or a set of rectangular patches. Considering only the case of simply ...
A new more stable algorithm is proposed to overcome the problem of convergence becoming unstable for object meshes consisting of several thousand vertices ...
Jun 9, 2022 · In this work, we propose adaptive area-preserving parameterization methods for simply-connected open and closed surfaces with the target of the ...
Given a rational parametrization of an algebraic surface, we try to reduce the degree by a suitable reparametrization. We give an algorithm that produces a ...
Mar 1, 1995 · Parametrization of closed surfaces for 3-D shape description · Computer Vision and Image Understanding · Computer Vision and Image Understanding.
Summary. This paper provides a tutorial and survey of methods for parameterizing surfaces with a view to applications in geometric modelling and computer ...
The representation is used to parametrize the surface by defining a continuous, one-to-one mapping from the surface of the original object to the surface of a ...