Interpolating and approximating implicit surfaces from polygon soup
Authors:
Open Access
- 1 August 2004
- journal article
- conference paper
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics
- Vol. 23 (3) , 896-904
Abstract
This paper describes a method for building interpolating or approximating implicit surfaces from polygonal data. The user can choose to generate a surface that exactly interpolates the polygons, or a surface that approximates the input by smoothing away features smaller than some user-specified size. The implicit functions are represented using a moving least-squares formulation with constraints integrated over the polygons. The paper also presents an improved method for enforcing normal constraints and an iterative procedure for ensuring that the implicit surface tightly encloses the input vertices.Keywords
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