So how did you achieve the final look?  I think it looks good, but I hope you didn't manually weave each of those splines, because there are several automated ways to do that.  Being you are using 3dsmax for this, there's probably a dozen ways this could be done efficiently.

Personally, i would have just created one spline weave as a "template", then extract another spline from the profile of the original surface to use as an animation path constraint.  Then, simply animate the template weave model you made along that animation path for say 100 frames (perhaps more, depending on how many weave strands you think you might need), while also adjusting  the width and rotation of the template weave model accordingly, as keyframes.  It would only take say 10 minutes tops to do that.  Then, I'd make use of the SNAPSHOT TOOL in Max to automatically extract each keyframe as a static model.  Using the snapshot tool, only the parts that are animated are cloned into a new static mesh, so in this case, only the template weave you created would be cloned along the path constraint.  The result of this method is quick, easy, and you would automatically have a weaved surface that perfectly compliments the curves and variable width of your chair profile.

The final result is all that matters, but I hope you took an easier route.