Abstract
The Hermite radial basis functions (HRBFs) implicits have been used to reconstruct surfaces from scattered Hermite data points. In this work, we propose a closed-form formulation to construct HRBF-based implicits by a quasi-solution to approximate the exact one. A scheme is developed to automatically adjust the support sizes of basis functions to hold the error bound of a quasi-solution. Our method can generate an implicit function from positions and normals of scattered points without taking any global operation. Robust and efficient reconstructions are observed in our experimental tests on real data captured from a variety of scenes.
Original language | English |
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Pages (from-to) | 147-157 |
Number of pages | 11 |
Journal | Computer-Aided Design |
Volume | 78 |
DOIs | |
Publication status | Published - 2016 |
Event | The Symposium on Solid and Physical Modeling (SPM 2016) - Berlin, Germany Duration: 20 Jun 2016 → 24 Jun 2016 |
Bibliographical note
Special Issue of 2016 Symposium on Solid and Physical ModelingKeywords
- Hermite Radial Basis Functions
- Quasi-solution
- Closed-form
- Surface reconstruction