Equivolumetric offset surfaces

Authors:
Hwan Pyo Moon
Affiliations:
Department of Mathematics, Seoul National University, Seoul, 151-747, South Korea
Venue:
Computer Aided Geometric Design
Year:
2009

Citing 5
Cited 3

The approximation of non-degenerate offset surfaces

Computer Aided Geometric Design
General offset surfaces

Neural, Parallel & Scientific Computations - computer aided geometric design
A concept for parametric surface fitting which avoids the parametrization problem

Computer Aided Geometric Design
Equivolumetric offsets for 2D machining with constant material removal rate

Computer Aided Geometric Design
Trimming local and global self-intersections in offset curves/surfaces using distance maps

Computer-Aided Design

Equivolumetric tubular solids for volume-preserving bend of cylinders

Computer Aided Geometric Design
SMI 2012: Full Curvature-based offset distance: Implementations and applications

Computers and Graphics
Approximate convolution with pairs of cubic Bézier LN curves

Computer Aided Geometric Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present the equivolumetric offset surface which is a special kind of variable distance offset surfaces. For a given base surface, the volume bounded by the base surface and its equidistance offset may vary depending on the curvature of the base surface. The offset distance function of the equivolumetric offset surface is carefully chosen to compensate this curvature effect and to equalize the volumetric ratio. The explicit formulation of the equivolumetric offset distance function is given by using the Chebyshev cube root.