论文信息 - Are isophotes and reflection lines the same?

Are isophotes and reflection lines the same?

Isophotes and reflection lines are standard tools for surface interrogation. We study the correlations between them. We show that isophotes and reflection lines are different (but not disjunct) classes of surface curves. Furthermore we introduce the concept of reflection circles as a generalization of isophotes and reflection lines. Reflection circles can be considered as the mirror images of a family of concentric circles on the surface. We show that reflection circles contain both isophotes and reflection lines as special cases.

Holger Theisel | H. Theisel

[1] Hans Hagen,et al. Surface interrogation algorithms , 1992, IEEE Computer Graphics and Applications.

[2] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .

[3] Wolfgang Böhm,et al. Geometric concepts for geometric design , 1993 .

[4] Holger Theisel. On Geometric Continuity of Isophotes , 1997 .

[5] Larry L. Schumaker,et al. Curves and surfaces with applications in CAGD , 1997 .

[6] R. Klass. Correction of local surface irregularities using reflection lines , 1980 .

[7] Gerald E. Farin,et al. The Curvature of Characteristic Curves on Surfaces , 1997, IEEE Computer Graphics and Applications.

[8] Josef Hoschek,et al. Fundamentals of computer aided geometric design , 1996 .

[9] Thomas Poeschl,et al. Detecting surface irregularities using isophotes , 1984, Comput. Aided Geom. Des..

[10] Dieter Lasser,et al. Grundlagen der geometrischen Datenverarbeitung , 1989 .

[11] E. Kaufmann,et al. Smoothing surfaces using reflection lines for families of splines , 1988 .