Shape modeling with point-sampled geometry
- 1 July 2003
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics
- Vol. 22 (3) , 641-650
- https://doi.org/10.1145/882262.882319
Abstract
We present a versatile and complete free-form shape modeling framework for point-sampled geometry. By combining unstructured point clouds with the implicit surface definition of the moving least squares approximation, we obtain a hybrid geometry representation that allows us to exploit the advantages of implicit and parametric surface models. Based on this representation we introduce a shape modeling system that enables the designer to perform large constrained deformations as well as boolean operations on arbitrarily shaped objects. Due to minimum consistency requirements, point-sampled surfaces can easily be re-structured on the fly to support extreme geometric deformations during interactive editing. In addition, we show that strict topology control is possible and sharp features can be generated and preserved on point-sampled objects. We demonstrate the effectiveness of our system on a large set of input models, including noisy range scans, irregular point clouds, and sparsely as well as densely sampled models.This publication has 22 references indexed in Scilit:
- Computing and rendering point set surfacesIEEE Transactions on Visualization and Computer Graphics, 2003
- Level set surface editing operatorsACM Transactions on Graphics, 2002
- Reconstruction and representation of 3D objects with radial basis functionsPublished by Association for Computing Machinery (ACM) ,2001
- Multiresolution Shape Deformations for Meshes with Dynamic Vertex ConnectivityComputer Graphics Forum, 2000
- QSplatPublished by Association for Computing Machinery (ACM) ,2000
- The approximation power of moving least-squaresMathematics of Computation, 1998
- Interactive multi-resolution modeling on arbitrary meshesPublished by Association for Computing Machinery (ACM) ,1998
- An efficient surface intersection algorithm based on lower-dimensional formulationACM Transactions on Graphics, 1997
- A generalized de Casteljau approach to 3D free-form deformationPublished by Association for Computing Machinery (ACM) ,1994
- Free-form shape design using triangulated surfacesPublished by Association for Computing Machinery (ACM) ,1994