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An efficient data structure for calculation of unstructured T-spline surfaces.

Wei Wang1, Yang Zhang2, Xiaoxiao Du2

  • 1School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, People's Republic of China. jrrt@buaa.edu.cn.

Visual Computing for Industry, Biomedicine, and Art
|April 3, 2020
PubMed
Summary

Researchers developed an efficient data structure for unstructured T-spline surfaces, overcoming programming challenges. This enables easier and faster computation and visualization of complex freeform models.

Keywords:
Extraordinary pointsNon-uniform rational B-splinesT-splinesUnstructured T-mesh

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Area of Science:

  • Computer-Aided Design (CAD)
  • Geometric Modeling
  • Computer Graphics

Background:

  • Non-uniform rational B-splines (NURBS) have topological constraints for freeform surfaces.
  • T-splines offer enhanced flexibility by introducing T-junctions and extraordinary points.
  • Existing T-spline data structures struggle with the complexity of extraordinary points, hindering development.

Purpose of the Study:

  • To address the programming difficulties associated with complex T-spline topology.
  • To develop an efficient data structure for computing unstructured T-spline surfaces.
  • To facilitate the representation and manipulation of arbitrarily shaped models.

Main Methods:

  • Development of a novel, efficient data structure specifically designed for unstructured T-splines.
  • Implementation of algorithms for the computation of T-spline surfaces compatible with extraordinary points.
  • Creation of a prototype system for calculating and visualizing complex T-spline models.

Main Results:

  • The proposed data structure enables efficient computation of complex T-spline surface models.
  • The system successfully calculated and visualized several unstructured T-spline models.
  • Demonstrated validity and effectiveness of the developed method for handling T-spline complexities.

Conclusions:

  • The new data structure significantly simplifies programming and computation for T-spline surfaces.
  • This advancement removes a major obstacle for the development and application of T-spline technologies.
  • The method provides a robust solution for representing and computing complex freeform models.