This paper describes a framework for introducing visually smooth
surfaces into sketch-based freeform modeling systems. An existing
sketch-based freeform modeling system generates rough polygonal
meshes with uneven triangulations after each operation. Our
approach generates a dense, visually smooth polygonal mesh by
beautifying and refining the original rough mesh. A beautification
process generates near-equilateral triangles with a near-uniform
distribution of vertices to mask the noise and bad sampling of the
uneven mesh. The vertices are distributed on a smoothed surface
that approximately interpolates the original mesh. Refinement
generates a smooth, dense mesh by subdividing the beautified
mesh and moving the vertices to the interpolative surface. The
smooth interpolative surface is computed via implicit quadratic
surfaces that best fit the mesh locally in a least-squares sense.
Publications
Takeo Igarashi, John F. Hughes
"Smooth Meshes for Sketch-based Freeform Modeling"
ACM SIGGRAPH 2003 Symposium on Interactive 3D Graphics,
ACM I3D'03,
Monterey, California,
April 27-30, 2003, pp.139-142.
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