Catmull-Rom spline

GPTKB entity
AI-created image of Catmull-Rom spline
AI-created image

Statements (27)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
spline
gptkbp:application curve modeling
motion planning
path smoothing
gptkbp:basisFor cubic Hermite spline
gptkbp:category interpolation
curve fitting
gptkbp:form P(t) = 0.5 * ((2*P1) + (-P0 + P2)*t + (2*P0 - 5*P1 + 4*P2 - P3)*t^2 + (-P0 + 3*P1 - 3*P2 + P3)*t^3)
https://www.w3.org/2000/01/rdf-schema#label Catmull-Rom spline
gptkbp:namedAfter gptkb:Edwin_Catmull
gptkb:Raphael_Rom
gptkbp:parameter gptkb:military_decoration
centripetal
chordal
gptkbp:property C1 continuity
local control
passes through control points
gptkbp:publishedIn 1974
gptkbp:relatedTo gptkb:B-spline
gptkb:Bezier_curve
gptkbp:type interpolating spline
gptkbp:usedIn animation
computer graphics
data interpolation
gptkbp:bfsParent gptkb:Ed_Catmull
gptkbp:bfsLayer 4