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- Title
REDUCED DATA FOR CURVE MODELING -- APPLICATIONS IN GRAPHICS, COMPUTER VISION AND PHYSICS.
- Authors
Janik, Małgorzata; Kozera, Ryszard; Kozioł, Przemysław
- Abstract
In this paper we consider the problem of modeling curves in Rn in via interpolation without a priori specified interpolation knots. We discuss two approaches to estimate the missing knots {ti}i=0m for non-parametric data (i.e. collection of points {q=0im, where qi ∈ Rn). The first approach (uniform evaluation) is based on blind guess in which knots ... are chosen uniformly. The second approach (cumulative chord parameterization) incorporates the geometry of the distribution of data points. More precisely, the difference ... is equal to the Euclidean distance between data points qi+1 and qi. The second method partially compensates for the loss of the information carried by the reduced data. We also present the application of the above schemes for fitting non-parametric data in computer graphics (light-source motion rendering), in computer vision (image segmentation) and in physics (high velocity particles trajecinterpolationknots.parametricdataincomputergraphics(lighttory modeling). Though experiments are conducted for points in R² and R³ the entire method is equally applicable in Rn.
- Subjects
CURVES; INTERPOLATION; KNOT theory; NONPARAMETRIC estimation; EUCLIDEAN distance; ENGINEERING graphics; COMPUTER vision; PHYSICS; MATHEMATICAL models
- Publication
Advances in Science & Technology Research Journal, 2013, Vol 7, Issue 18, p28
- ISSN
2080-4075
- Publication type
Article
- DOI
10.5604/20804075.1049599