Shape reconstruction from a normal map in terms of uniform bi-quadratic B-spline surfaces

Yusuke Yamaura, Takaki Nanya, Harutaka Imoto, Takashi Maekawa

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper studies the recovery of the height field function of an object from its surface normal vectors in terms of uniform bi-quadratic B-spline surfaces. The study is motivated by two modern technological needs namely, the recovery of the height field function of an object from its surface normal vectors obtained by photometric stereo techniques, and the introduction of new design methodology of streamlined aesthetic surfaces through the direct editing of normal vectors. Our mathematical formulation for explicit surface reconstruction is based on differential geometry and geometric modeling techniques. Complex examples are provided to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)129-140
Number of pages12
JournalCAD Computer Aided Design
Volume63
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Fingerprint

Splines
Recovery
Surface reconstruction
Geometry

Keywords

  • Differential geometry
  • Editing of normal map
  • Normal map
  • Photometric stereo
  • Surface from gradients
  • Uniform B-spline

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

Cite this

Shape reconstruction from a normal map in terms of uniform bi-quadratic B-spline surfaces. / Yamaura, Yusuke; Nanya, Takaki; Imoto, Harutaka; Maekawa, Takashi.

In: CAD Computer Aided Design, Vol. 63, 01.01.2015, p. 129-140.

Research output: Contribution to journalArticle

Yamaura, Yusuke ; Nanya, Takaki ; Imoto, Harutaka ; Maekawa, Takashi. / Shape reconstruction from a normal map in terms of uniform bi-quadratic B-spline surfaces. In: CAD Computer Aided Design. 2015 ; Vol. 63. pp. 129-140.
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