Better Pasting Via Quasi Interpolation
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Better Pasting Via Quasi-Interpolation
Surface pasting is a hierarchical modeling technique that places feature surface atop base surface with approximate continuity. In this paper, we describe the use of quasi-interpolation to set the boundary control points of the pasted feature. To achieve interactive performance for surface pasting, we modify the coefficients and weights of quasi-interpolation and devise an efficient sampling scheme. The new surface pasting technique is actually faster than the original surface pasting method when using the same number of feature control points, with a much lower discontinuity between the feature and base surface.
Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing
Author: Ravi Janardan
language: en
Publisher: American Mathematical Soc.
Release Date: 2005
Computer-Aided Design and Manufacturing (CAD/CAM) is concerned with all aspects of the process of designing, prototyping, manufacturing, inspecting, and maintaining complex geometric objects under computer control. As such, there is a natural synergy between this field and Computational Geometry (CG), which involves the design, analysis, implementation, and testing of efficient algorithms and data representation techniques for geometric entities such as points, polygons, polyhedra, curves, and surfaces. The DIMACS Center (Piscataway, NJ) sponsored a workshop to further promote the interaction between these two fields. Attendees from academia, research laboratories, and industry took part in the invited talks, contributed presentations, and informal discussions. This volume is an outgrowth of that meeting.
Advances in Multiresolution for Geometric Modelling
Author: Neil Dodgson
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-05-24
Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.