Version: Unity 6.1 Alpha (6000.1)
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The camera view
Make the camera perspective oblique

Introduction to the camera view

What a cameraA component which creates an image of a particular viewpoint in your scene. The output is either drawn to the screen or captured as a texture. More info
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sees is defined by its transform and its Camera component. The transform position defines the viewpoint, its forward (Z) axis defines the view direction, and its and upward (Y) axis defines the top of the screen. Settings on the Camera component define the size and shape of the region that falls within the view. With these parameters set up, the camera can display what it currently “sees” to the screen. As the GameObjectThe fundamental object in Unity scenes, which can represent characters, props, scenery, cameras, waypoints, and more. A GameObject’s functionality is defined by the Components attached to it. More info
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moves and rotates, the displayed view moves and rotates accordingly.

The shape of the viewed region

Both perspective and orthographic cameras have a limit on how far they can “see” from their current position. The limit is defined by a plane that is perpendicular to the camera’s forward (Z) direction. This is known as the far clipping plane since objects at a greater distance from the camera are “clipped” (ie, excluded from rendering). There is also a corresponding near clipping plane close to the camera - the viewable range of distance is that between the two planes.

Without perspective, objects appear the same size regardless of their distance. This means that the viewing volume of an orthographic camera is defined by a rectangular box extending between the two clipping planesA plane that limits how far or close a camera can see from its current position. A camera’s viewable range is between the far and near clipping planes. See far clipping plane and near clipping plane. More info
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.

When perspective is used, objects appear to diminish in size as the distance from camera increases. This means that the width and height of the viewable part of the sceneA Scene contains the environments and menus of your game. Think of each unique Scene file as a unique level. In each Scene, you place your environments, obstacles, and decorations, essentially designing and building your game in pieces. More info
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grows with increasing distance. The viewing volume of a perspective camera, then, is not a box but a pyramidal shape with the apex at the camera’s position and the base at the far clipping planeThe maximum draw distance for a camera. Geometry beyond the plane defined by this value is not rendered. The plane is perpendicular to the camera’s forward (Z) direction.
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. The shape is not exactly a pyramid, however, because the top is cut off by the near clipping planeA plane that limits how close a camera can see from its current position. The plane is perpendicular to the camera’s forward (Z) direction. More info
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; this kind of truncated pyramid shape is known as a frustum. Since its height is not constant, the frustum is defined by the ratio of its width to its height (known as the aspect ratio) and the angle between the top and bottom at the apex (known as the field of view or FOV). See the page about understanding the view frustum for a more detailed explanation.

The view frustum

The word frustum refers to a solid shape that looks like a pyramid with the top cut off parallel to the base. This is the shape of the region that can be seen and rendered by a perspective camera. The following thought experiment should help to explain why this is the case.

Imagine holding a straight rod (a broom handle or a pencil, for example) end-on to a camera and then taking a picture. If the rod were held in the centre of the picture, perpendicular to the camera lens, then only its end would be visible as a circle on the picture; all other parts of it would be obscured. If you moved it upward, the lower side would start to become visible but you could hide it again by angling the rod upward. If you continued moving the rod up and angling it further upward, the circular end would eventually reach the top edge of the picture. At this point, any object above the line traced by the rod in world space would not be visible on the picture.

The rod could just as easily be moved and rotated left, right, or down or any combination of horizontal and vertical. The angle of the “hidden” rod simply depends on its distance from the centre of the screen in both axes.

The meaning of this thought experiment is that any point in a camera’s image actually corresponds to a line in world space and only a single point along that line is visible in the image. Everything behind that position on the line is obscured.

The outer edges of the image are defined by the diverging lines that correspond to the corners of the image. If those lines were traced backwards towards the camera, they would all eventually converge at a single point. In Unity, this point is located exactly at the camera’s transform position and is known as the centre of perspective. The angle subtended by the lines converging from the top and bottom centres of the screen at the centre of perspective is called the field of view (often abbreviated to FOV).

As stated above, anything that falls outside the diverging lines at the edges of the image will not be visible to the camera, but there are also two other restrictions on what it will render. The near and far clipping planes are parallel to the camera’s XY plane and each set at a certain distance along its centre line. Anything closer to the camera than the near clipping plane and anything farther away than the far clipping plane will not be rendered.

The diverging corner lines of the image along with the two clipping planes define a truncated pyramid - the view frustum.

The camera view
Make the camera perspective oblique