# Bresenham Line Drawing Algorithm For M Greater Than 1

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When we first picked up a pen or pencil and started making marks on paper, we began with line. Whether self-taught, through trial and error, or guided by others, we learned how line defines form, creates structure, divides a frame, traces contour, creates tonal variation (cross-hatching, for example) and leads the eye from one part of a work to another. Initially a mechanism for getting outlines onto paper – identifying edges – we begin to applaud lines for their own merit: celebrate their presence…whether a quiet flick of charcoal on paper or a streak of graphite.

In this ink drawing, a small grid experimenting with different line techniques has been included in the top left of the work. Some of these have been selected to apply tone to the work, carefully replicating reflection and shadow. This image was completed using a sharpened bamboo stick dipped in black ink.In this sketchbook page Samantha imitates and analyses a line drawing by Vincent van Gogh, discussing the suitability and appropriateness of each technique. Note that when learning from artists, it is rarely necessary to slavishly copy an entire work; replicating small pieces (as in this example) is often all that is needed.

Blind Contour Drawing : A blind contour drawing contains lines that are drawn without ever looking at the piece of paper. This forces you to study a scene closely, observing every shape and edge with your eyes, as your hand mimics these on paper. The aim is not to produce a realistic artwork, but rather to strengthen the connection between eyes, hand and brain: a reminder that, when drawing, you must first learn to see.

A continuous line drawing is produced without ever lifting the drawing instrument from the page. This means that, in addition to outlines and internal shapes, the pencil must move back and forth across the surface of the paper, with lines doubling back on each other, so that the drawing is one free-flowing, unbroken line. To avoid the temptation to erase lines, it can be helpful to complete a continuous line drawing with an ink pen, varying the line weight, as needed, to indicate perspective and areas of light and shadow. Like the drawing methods described above, this drawing method develops confidence and drawing speed, and encourages your eyes and hand and brain to work together. Continuous line drawings work best with in-depth observation of your subject, without interference from your thinking mind.