Constrained curve interpolation in 3D

The interpolation of parametric space curves with planes as constraints is considered. For an ordered set of spatial data points and a set of constraint planes, given that the polyline connecting the data points does not intersect the constraint planes, a smooth interpolant which avoids the constrai...

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Bibliographic Details
Main Authors: Shuaib, Noorul Afiah Binti Mohamed, Pang, Kong Voon
Format: Conference Proceeding
Language:English
Subjects:
Constraints
Data points
Interpolation
Spatial data
Online Access:Get full text
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Description
Summary:The interpolation of parametric space curves with planes as constraints is considered. For an ordered set of spatial data points and a set of constraint planes, given that the polyline connecting the data points does not intersect the constraint planes, a smooth interpolant which avoids the constraints with G1 continuity is desired. The constraints considered are infinite and finite planes while the interpolation method used is rational cubic Bézier. The shape of the curve is manipulated by modifying the weights of rational cubic Bézier on the data points. Two weight modification methods are considered and compared to find the best method that produces a smooth interpolant.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0075613