picture plane

Examples of picture plane in the following topics:

• Shape and Volume

  • A "plane" refers to any surface area within space.
  • In two-dimensional art, the "picture plane" is the flat surface that the image is created upon, such as paper, canvas, or wood.
  • Three-dimensional figures may be depicted on the flat picture plane through the use of the artistic elements to imply depth and volume, as seen in the painting Small Bouquet of Flowers in a Ceramic Vase by Jan Brueghel the Elder.
  • Three-dimensional figures may be depicted on the flat picture plane through the use of the artistic elements to imply depth and volume.

• Color Field Painting

  • Color Field painting can be recognized by its large fields of solid color spread across or stained into the canvas creating areas of unbroken surface and a flat picture plane.
  • Color Field is characterized primarily by its use of large fields of flat, solid color spread across or stained into the canvas creating areas of unbroken surface and a flat picture plane.
  • Moving away from the gesture and angst of Action painting towards flat, clear picture planes and a seemingly calmer language, Color Field artists used formats of stripes, targets and simple geometric patterns to concentrate on color as the dominant theme their paintings.
  • The flat, solid picture plane typical of Color Field paintings is evident in this piece by Barnet Newman, where the color red takes centre stage.

• Space

  • Artists have devoted a great deal of time to experimenting with perspectives and degrees of flatness of the pictorial plane.
  • Les Demoiselles d'Avignon is an example of cubist art, which has a tendency to flatten the picture plane, and its use of abstract shapes and irregular forms suggest multiple points of view within a single image.

• Inconsistent and Dependent Systems in Three Variables

  • Graphically, the solutions fall on a line or plane that is the intersection of three planes in space.
  • If we were to graph each of the three equations, we would have the three planes pictured below.
  • Notice that two of the planes are the same, and they intersect the third plane on a line.
  • The equations could represent three parallel planes, two parallel planes and one intersecting plane, or three planes that intersect the other two but not at the same location.
  • Two equations represent the same plane, and these intersect the third plane on a line.

• Pictures of Modes

  • I'll conclude this chapter with some pictures of real modes.
  • These are two snapshots of the instantaneous displacement of the plane when being driven in one of its modes.

• Body Planes and Sections

  • There are three basic reference planes used in anatomy: the sagittal plane, the coronal plane, and the transverse plane.
  • Body planes are hypothetical geometric planes used to divide the body into sections.
  • Reference planes are the standard planes used in anatomical terminology and include:
  • A longitudinal plane is any plane perpendicular to the transverse plane, while parasaggital planes are parallel to the saggital plane.
  • The coronal plane, the sagittal plane, and the parasaggital planes are examples of longitudinal planes.

• Total Polarization

  • When light hits a surface at a Brewster angle, reflected beam is linearly polarized. shows an example, where the reflected beam was nearly perfectly polarized and hence, blocked by a polarizer on the right picture.
  • A polarizing filter allows light of a particular plane of polarization to pass, but scatters the rest of the light.
  • Some materials have molecules that rotate the plane of polarization of light.
  • In the picture at left, the polarizer is aligned with the polarization angle of the window reflection.
  • In the picture at right, the polarizer has been rotated 90° eliminating the heavily polarized reflected sunlight.

• Spherical and Plane Waves

  • Spherical waves come from point source in a spherical pattern; plane waves are infinite parallel planes normal to the phase velocity vector.
  • A plane wave is a constant-frequency wave whose wavefronts (surfaces of constant phase) are infinite parallel planes of constant peak-to-peak amplitude normal to the phase velocity vector .
  • It is not possible in practice to have a true plane wave; only a plane wave of infinite extent will propagate as a plane wave.
  • However, many waves are approximately plane waves in a localized region of space.
  • Plane waves are an infinite number of wavefronts normal to the direction of the propogation.

• Vectors in the Plane

  • Vectors are needed in order to describe a plane and can give the direction of all dimensions in one vector equation.
  • Planes in a three dimensional space can be described mathematically using a point in the plane and a vector to indicate its "inclination".
  • As such, the equation that describes the plane is given by:
  • which we call the point-normal equation of the plane and is the general equation we use to describe the plane.
  • This plane may be described parametrically as the set of all points of the form$\mathbf R = \mathbf {R}_0 + s \mathbf{V} + t \mathbf{W}$, where $s$ and $t$ range over all real numbers, $\mathbf{V}$ and $\mathbf{W}$ are given linearly independent vectors defining the plane, and $\mathbf{R_0}$ is the vector representing the position of an arbitrary (but fixed) point on the plane.

• Equations of Lines and Planes

  • A line is a vector which connects two points on a plane and the direction and magnitude of a line determine the plane on which it lies.
  • A line is essentially a representation of a cross section of a plane, or a two dimensional version of a plane which is a three dimensional object.
  • The components of equations of lines and planes are as follows:
  • This direction is described by a vector, $\mathbf{v}$, which is parallel to plane and $P$ is the arbitrary point on plane $M$.
  • where $t$ represents the location of vector $\mathbf{r}$ on plane $M$.