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Using Perspective Dynamically & Sculpting Form

One way that we can think of perspective is as a collection of geometric techniques for keeping things proportionate as they move towards or away from us in a scene.

Techniques like:

• Finding the centers of planes and cutting planes in half by connecting their corners with diagaonals.

• Finding the spacings of lines as they recede into the distance through the use of diagonals or base-lines.

• Finding relative sizes of objects in a scene by tranlating lines horizontally/vertically within the same "plane".

...etc.

Once we have some basic perspective techniques, then we can "sculpt" forms by using those techniques to cut away portions of primitives and/or adding segments to them by projecting lines/curves from their surfaces (think "splines" and "contour lines") in ways that make sense visually. Even if many changes happen, we can keep it consistent if we stay aware of certain basic ideas throughout:

• location of horizon line (by continuously keeping in mind what surfaces we are looking down on or looking up at)

• location of vanishing points (by continuously keeping in mind what lines are parallel with one another)

• location of foreground-midground-background (by continuously keeping in mind what things line up horizontally/vertically within the same "plane")

...etc.

This is a dynamic use of perspective. Instead of relying on grids, we can use a few simple landmarks and relate all things to one another as the drawing itself unfolds.