Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of point on this oriented lens and shooting a ray from there through the focal point.

Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of point on this oriented lens and shooting a ray from there through the focal point.

Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of a point on this oriented lens and shooting a ray from there through the focal point.

Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of point on this oriented lens and shooting a ray from there through the focal point.

Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of point on this oriented lens and shooting a ray from there through the focal point.

Abstract: A method of adjusting a shading normal vector for a computer graphics rendering program. Calculating a normalized shading normal vector pointing outwards from an origin point on a tessellated surface modeling a target surface to be rendered. Calculating a normalized outgoing reflection vector projecting from the origin point for an incoming view vector directed towards the origin point and reflecting relative to the normalized shading normal vector. Calculating a correction vector such that when the correction vector is added to the normalized outgoing reflection vector a resulting vector sum is yielded that is equal to a maximum reflection vector, wherein the maximum reflection vector is on or above the tessellated surface. Calculating a normalized maximum reflection vector by normalizing a vector sum of the correction vector plus the maximum reflection vector.

Abstract: In various embodiments, a finite aperture omni-directional camera is modeled by aligning a finite aperture lens and focal point with the omni-directional part of the projection. For example, each point on an image plane maps to a direction in camera space. For a spherical projection, the lens can be orientated along this direction and the focal point is picked along this direction at focal distance from the lens. For a cylindrical projection, the lens can be oriented along the projected direction on the two dimensional (2D) xz-plane, as the projection is not omni-directional in the y direction. The focal point is picked along the (unprojected) direction so its projection on the xz-plane is at focal distance from the lens. The final outgoing ray can be constructed by sampling of point on this oriented lens and shooting a ray from there through the focal point.

Abstract: A method of adjusting a shading normal vector for a computer graphics rendering program. Calculating a normalized shading normal vector pointing outwards from an origin point on a tessellated surface modeling a target surface to be rendered. Calculating a normalized outgoing reflection vector projecting from the origin point for an incoming view vector directed towards the origin point and reflecting relative to the normalized shading normal vector. Calculating a correction vector such that when the correction vector is added to the normalized outgoing reflection vector a resulting vector sum is yielded that is equal to a maximum reflection vector, wherein the maximum reflection vector is on or above the tessellated surface. Calculating a normalized maximum reflection vector by normalizing a vector sum of the correction vector plus the maximum reflection vector.