DACurve by Antonio Tarrell Curve Comb vs A Straight Comb


Autodesk Inventor 2D surface curvature comb graphs

The curvature comb of a curve is defined as: (1) c (t) = x (t) − d ⋅ κ (t) n (t). If we discretize c, then we get the appearance of a comb distributed along x, as illustrated in Fig. 1, hence the term "curvature comb".In our examples, comb curves are shown in red; the input curves are in black. The scaling factor d is needed to bring out the salient features of the comb.


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Curvature comb. Curvature comb. A curvature comb can be used to represent graphically the curvature of every point on a curve. If [math]\displaystyle{ t \mapsto x(t) }[/math] is a parametrised curve its comb is defined as the parametrized curve


Autodesk Inventor 2D surface curvature comb graphs

The curvature combs tool graphically shows the amount of curvature at a given point on a sketch element. A smooth curvature comb is desired to produce the smoothest surface. As shown below, both splines look the same until we look at their curvature combs. The spline with the smoothest curvature combs (i.e. no flat spots or dips exist) will.


Autodesk Inventor 2D surface curvature comb graphs

The curvature comb is very convenient in displaying a graphical representation of curva-ture to the curve. Farin (2016) concisely explained the relationship between curvature plot, curvature comb, and their implementations. Programming that determines the distribution of spines on a curvature comb was produced by Hill (2005).


Curvature Comb Surface sculpting Autodesk Community

The curvature comb of a curve is defined as: c ( t) = x ( t) − d ⋅ κ ( t) n ( t). If we discretize c, then we get the appearance of a comb distributed along x, as illustrated in Fig. 1, hence the term "curvature comb". In our examples, comb curves are shown in red; the input curves are in black. The scaling factor d is needed to bring.


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A "curvature comb" is a type of graphical diagram added to the plot of a curve which shows a number of "teeth" segments with their bases along the curve, oriented perpendicular to the curve and proportional in length to its curvature. I think you can better understand curvature comb through the following figure.


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The Surface Curvature Combs tool evaluates curvature quality and smoothness. It displays U and V mapping lines in a graphical display across face boundaries. The tool looks for curvature constraints and extends curvature combs across adjacent faces. The length of each spine on the comb is proportional to the amount of curvature at the point.


Understanding G0, G1, G2 and G3 surface continuity using curvature comb

See the CAD tip: https://www.cadforum.cz/en/displaying-the-curvature-comb-or-radii-of-a-curve-curvcomb-tip13864Viz CAD tip: https://www.cadforum.cz/cz/zobraz.


Curvature Comb plots on crosssections Aircraft Design, Plots

To show the curvature combs of a sketch entity: In an open sketch, right-click a sketch entity and select Show Curvature Combs. A comb appears that displays the curvature of the entity. For splines, the comb crosses the spline at inflection points. The comb changes shape dynamically as you drag the sketch entity and its curvature changes.


Curvature comb looks like G0 in single curve segment? Rhino for

Curvature Comb Analysis. Shows the amount of curvature at sample points along the selected edges. Select the edges to evaluate then set the comb density and scale. Curvature Comb Analysis - Definition: Shows the amount of curvature at sample points along the selected edges.


SOLIDWORKS 2016 Curvature Continuous Edge Fillets

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Interpreting the Curvature Comb plot on a single curve Industrial

To display curvature combs for a sketch entity, simply right-click on the entity and choose Show Curvature Combs from the pop-up menu. When you do, SolidWorks will create a set of lines normal to the sketch entity at points along that entity; the longer the line of the comb, the more curvature there is at that point.


Best Way to Assess Curvature Conditions Show the Bounding Curve for

A comb appears that displays the curvature of the entity. For splines, the comb crosses the spline at inflection points. The comb changes shape dynamically as you drag the sketch entity and its curvature changes. In the Curvature Scale PropertyManager, move the sliders to adjust the size and density of the curvature comb.


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According to the curvature combs G0-G2 have noticeable dislocation of curve acceleration, which will be evident on the extruded surface. G3 is marginally better than G2 as it adds micro transitions in the curve of the comb to make it truly curve continuous. The only surface that I was able to create from these curves that didn't have.


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Take two arcs. One has a radius of 1 the other has a radius of 2. (By the way, radius is the inverse of curvature, c=1/r, so that infinite curvature means 0 radius [essentially a point], and 0 curvature means infinite radius [essentially a straight line]). Radius can be measured using a "comb" on the side of the arc opposite the center.


Autodesk Inventor 2D surface curvature comb graphs

Curvature comb A curvature comb [8] can be used to represent graphically the curvature of every point on a curve. If t ↦ x ( t ) {\displaystyle t\mapsto x(t)} is a parametrised curve its comb is defined as the parametrized curve