CURVES
CAD/CAM/CAE
,CURVES
Space curve plays important role in engg design:
Automobiles ship hulls aircraft wings shoes
Propeller blades shoes bottles etc
,CURVES
• Analytical curve
• Curve for which input is standard analytical
mathematical equation.
• Like point, line, arc, circle, ellipse, parabola etc.
• These basic entities can be combined together with
various end conditions to generate the overall curve
design.
• Synthetic curve
• It is computed by using geometric input parameters like
point, tangent.
• These parameters are processed to generate curves.
• Bezier , Hermite cubic, B-spline
, CURVES
• A synthetic curve is described by defining few control points
along with additional definitions like tangents etc.
• The curve can be generated using point data in two ways:
• Interpolation
• When resulting curve
• necessarily pass through
• the point data
• Approximation
• When the curve does not pass
• through the point data but is
• controlled smoothly by these points.
CAD/CAM/CAE
,CURVES
Space curve plays important role in engg design:
Automobiles ship hulls aircraft wings shoes
Propeller blades shoes bottles etc
,CURVES
• Analytical curve
• Curve for which input is standard analytical
mathematical equation.
• Like point, line, arc, circle, ellipse, parabola etc.
• These basic entities can be combined together with
various end conditions to generate the overall curve
design.
• Synthetic curve
• It is computed by using geometric input parameters like
point, tangent.
• These parameters are processed to generate curves.
• Bezier , Hermite cubic, B-spline
, CURVES
• A synthetic curve is described by defining few control points
along with additional definitions like tangents etc.
• The curve can be generated using point data in two ways:
• Interpolation
• When resulting curve
• necessarily pass through
• the point data
• Approximation
• When the curve does not pass
• through the point data but is
• controlled smoothly by these points.
