Art is an Expression of the Soul

Linear perspective is a critical element when painting buildings and other objects with distinct lines.The nearer to the
forground the structures are, the more critical it is to have good linear perspective. I suspect that this
is a somewhat complex subject when treated rigorously, such as by an architectural illustrator. However, an artist needs to understand only
some fundamentals in order to use linear perspective effectively.

While there are many sources available, in
print, as well as on the Internet, I had two simple questions for which I was unable to find answers, so I took upon myself to
find the answers. I share them here with the hope that others may also benefit.

I will to begin with the basics since
a sound understanding of fundamentals is critical to the mastery of any topic. Developing these fundamentals leads
to the answers to my two questions, which pertain to the shape of a roof and the location of the centeline in a vertical plane.

The two basic elements upon which linear perspective is based are the "Horizon Line and "Vanishing Points".

Now let's see how the Horizon Line and Vanishing Points relate
to the horizontal lines in a structure. Figure 3 depicts a home, as it would appear to an observer standing in front
of and to the left of the structure.(1) Notice how the lines representing the front and top of the roof and the lines along
the porch rail converge at the right Vanishing Point. This is true as well for other horizontal lines on the front of the home,
such as the lines in the siding and the lines representing the top and bottom of the windows, as well as the dividers in the
window panes. Likewise, horizontal lines on the left side of the house converge at the left Vanishing Point. (Here, the
term "horizontal" refers to lines that are parallel to the horizon line when not viewed at an angle.)

Now, let's look at what happens if the fence posts we looked at earlier are not
perfectly vertical but are tipped over, much like a fence that has seen a good many years of service. This is illustrated in
Figure 4, where by a strange coincidence, all the posts lean over, away from the viewer, at the same angle.
Notice how another vanishing point comes into play: the Vertical Vanishing Point (v.v.p.).(2) Notice, also, the
plane depicted in blue, which is the general shape of the roof of the house, as discussed next.

Next, look at Figure 5 and notice
how the Vertical Vanishing Points comes into play in determining the shape of the roof. The left and right edges are like the posts
in figure 4 and the top and top and bottom are horizontal lines that converge at the right Vanishing Point. The general
shape of the blue planes in figures 4 and 5, differ only because in Figure 5 the Horizon Line has been moved down so
that it is similar to where it would be for an observer on the ground.

To help draw the roof, look at Figure 6, and notice
that the line at the front of the roof, L3, is longer than the line at the peak, L4. Also, the slope at the right edge of the
roof is less steep than the slope at the left edge. In other words, the roof flattens out as we move away from the
viewer. Detemining the exact slope of each edge and the top and bottom of the roof requires the knowledge and techniques of the
architectural illustrator. Fortunately, artists can usually determine this for our purposes by using by a little trial and error and the
guidelines noted here. (I always sketch buildings and make sure that I am satisfied with the perspective before I draw them on the
canvas and begin painting.)

Finally, look at the front-of-porch plane in Figure 6, and notice the location of
the centerline, which is the *actual *center of the plane when viewed straight from the front. The centerline is off the center
of the plane when it is viewed from an angle. The greater the angle, the more the centerline moves to the right or to the left
depending upon whether the object is viewed from the right or the left. This is the same spacing effect we discussed before,
where the fence posts in Figure 2 are closer together the further you move either to the right or left, away from the observation
point. I think that this spacing effect is intuitive when, for instance, drawing a line of fence posts. However, it may not be so
intuitive when just considering the centerline of the front of a building.

These two details, the shape of the roof and
the location of the centerline in a vertical plane, are both important to achieving good linear perspective, especially in buildings
that are in the middle and foreground of a picture. However, learning how to draw these was a challenge for me so I've discussed
them here to help others who may have the same challenge.

2. " Vertical Vanishing Point" may not be the generally accepted term for this point.

1. The architectual illustration, Plan No. JVA-2406, is provided by the courtesy and permission of Jannis Vann and Assoc., Inc.
of Woodstock, GA

In this example, the Horizon Line is between the top and bottom of the posts. The line at the top of the posts is actually parallel
to the line where the posts meet the ground (when not viewed at an angle). Note that the line at the top of the posts, above the horizon
line, slopes down to the right to the right of the observer and slopes down to the left to the left of the observer. Conversely,
the lines where the posts meet the ground slope up. These lines intersect the Horizon Line at common points that
are referred to as the Vanishing Points (v.p.). Notice that the spacing between the posts decreases to the right
and to the left as we move away from the viewer. We will discuss the implications of this below.