6533b853fe1ef96bd12acbcf

RESEARCH PRODUCT

Bezier curves approximation of triangularized surfaces using SVG

S BattiatoG GalloE IngràG. MessinaGianpiero Di Blasi

subject

SVG Triangulation Bezier curvesScalable Vector GraphicsSortingTriangulation (social science)Image processingBézier curvecomputer.file_formatComputer Science::Computational GeometryFile formatVisualizationComputer graphics (images)Representation (mathematics)computerComputingMethodologies_COMPUTERGRAPHICSMathematics

description

This paper presents a technique to convert surfaces, obtained through a Data Dependent Triangulation, in Bezier Curves by using a Scalable Vector Graphics File format. The method starts from a Data Dependent Triangulation, traces a map of the boundaries present into the triangulation, using the characteristics of the triangles, then the estimated barycenters are connected, and a final conversion of the resulting polylines in curves is performed. After the curves have been estimated and closed the final representation is obtained by sorting the surfaces in a decreasing order. The proposed techniques have been compared with other raster to vector conversions in terms of perceptual quality.

https://doi.org/10.1117/12.643273