Spline bas-relief modeling from sketches by isogeometric analysis approach

Jinlan Xu, Chengnan Ling, Gang Xu, Zhongping Ji, Timon Rabczuk

Research output: Contribution to journalArticle

Abstract

Most of the methods for digital bas-reliefs modeling are based on images or 3D models. In this paper, we propose a novel approach to construct bas-reliefs surface with isogeometric analysis from sketch curves provided by the users. Our modeling system allows the users to input the boundary sketch of a planar domain and the feature constraints of bas-relief surface, then the bas-relief is generated automatically. A smooth spline surface will be constructed by solving a Poisson equation on the planar domain with isogeometric analysis method, in which the solution surface is used as the base surface. In particular, if there are some specified features on the base surfaces, we will solve the Poisson equation again and the shape of bas-relief feature will be taken as extra constrained condition. Several examples are presented to show the effectiveness of the proposed bas-relief modeling method and its application in stamp design.

Original languageEnglish
Article number101025
JournalGraphical Models
Volume103
DOIs
Publication statusPublished - 2019 May 1

Fingerprint

Isogeometric Analysis
Splines
Spline
Modeling
Poisson equation
Poisson's equation
Image Model
Modeling Method
System Modeling
3D Model
Curve

Keywords

  • Bas-reliefs
  • Isogeometric analysis
  • Poisson equation
  • Sketch-based modeling

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design

Cite this

Spline bas-relief modeling from sketches by isogeometric analysis approach. / Xu, Jinlan; Ling, Chengnan; Xu, Gang; Ji, Zhongping; Rabczuk, Timon.

In: Graphical Models, Vol. 103, 101025, 01.05.2019.

Research output: Contribution to journalArticle

Xu, Jinlan ; Ling, Chengnan ; Xu, Gang ; Ji, Zhongping ; Rabczuk, Timon. / Spline bas-relief modeling from sketches by isogeometric analysis approach. In: Graphical Models. 2019 ; Vol. 103.
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