Implicit modeling using subdivision curves

doi:10.1007/s00371-002-0179-6

Implicit modeling using subdivision curves

2003-05-01

23

PRE

AI

DOI：10.1007/s00371-002-0179-6

Original

Original request for help

Save

Abstract

En 中文

To remain an attractive model, skeleton-based implicit surfaces have to allow the design and display of shapes at interactive rates. This paper focuses on surfaces whose skeletons are graphs of interconnected curves. We present subdivision-curve primitives that rely on convolution for generating bulge-free and crease-free implicit surfaces. These surfaces are efficiently yet correctly displayed using local meshes around each curve that locally overlap in blending regions. Subdivision-curve primitives offer a practical solution to the unwanted-blending problem that ensures C-1 continuity everywhere. Moreover, they can be used to generate representations at different levels of detail, enabling the interactive display of at least a coarse version of the objects, whatever the performance of the workstation. We also present a practical solution to the unwanted-blending problem, used to avoid blending between parts of the surface that do not correspond to neighboring skeletal elements.

Keywords:

computational geometry

object modeling

convolution surfaces

levels of detail

implicit surfaces

Implicit modeling using subdivision curves

Abstract

Journal

Organization

Cited Papers