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Summary form only given. The last few years have brought a more concrete understanding of the mathematical relationship between strokes in drawings, linear features in images, and lines on 3D shapes. However, fundamental questions remain unanswered about how our perceptual system resolves these lines as giving evidence about shape. These questions need to be addressed to assemble mathematically defined lines into clear and compelling drawings. I'll discuss my ongoing research on suggestive contours and highlight lines from this perspective.